{"id":4998,"date":"2022-10-13T18:29:42","date_gmt":"2022-10-13T18:29:42","guid":{"rendered":"https:\/\/www.studyzonebd.com\/math\/?p=4998"},"modified":"2022-10-13T21:59:40","modified_gmt":"2022-10-13T21:59:40","slug":"class-8-chapter-5-lesson-5-1","status":"publish","type":"post","link":"https:\/\/www.studyzonebd.com\/math\/class-8-chapter-5-lesson-5-1\/","title":{"rendered":"\u09eb\u09ae \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u0997\u09bf\u09b7\u09cd\u099f\u0995\u09b0\u09a3 \u09af\u09cb\u0997 \u0993 \u09ac\u09bf\u09df\u09cb\u0997 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09eb.\u09e7 | \u09ee\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf"},"content":{"rendered":"\n

\u09eb\u09ae \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u0997\u09bf\u09b7\u09cd\u099f\u0995\u09b0\u09a3 \u09af\u09cb\u0997 \u0993 \u09ac\u09bf\u09df\u09cb\u0997 | \u09ee\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf \u0997\u09a3\u09bf\u09a4 \u09ac\u0987 \u09b8\u09ae\u09cd\u09aa\u09c2\u09b0\u09cd\u09a3 \u09b8\u09ae\u09be\u09a7\u09be\u09a8 | Class Eight (08) Math <\/a>Book Solution | Chapter <\/a>05 : Minimizing addition and subtraction of algebraic fractions| Class 8 math book Online Solution in Bangla (BD)<\/p>\n\n\n\n

\u09eb\u09ae \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u0997\u09bf\u09b7\u09cd\u099f\u0995\u09b0\u09a3 \u09af\u09cb\u0997 \u0993 \u09ac\u09bf\u09df\u09cb\u0997 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09eb.\u09e7 – PDF<\/a><\/h4>\n\n\n\n

\u09eb\u09ae \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u0997\u09bf\u09b7\u09cd\u099f\u0995\u09b0\u09a3 \u09af\u09cb\u0997 \u0993 \u09ac\u09bf\u09df\u09cb\u0997 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09eb.\u09e7 \u098f\u09b0 \u09b8\u0995\u09b2 \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8 \u0993 \u0989\u09a4\u09cd\u09a4\u09b0 \u098f\u0996\u09be\u09a8\u09c7 \u09b0\u09df\u09c7\u099b\u09c7\u0964 \u09ee\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf \u09b8\u09ae\u09cd\u09aa\u09c2\u09b0\u09cd\u09a3 \u0997\u09a3\u09bf\u09a4 \u09ac\u0987 \u09b8\u09ae\u09be\u09a7\u09be\u09a8<\/p>\n\n\n\n

\u09ee\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf\u09b0 \u0997\u09a3\u09bf\u09a4 \u09eb\u09ae \u0985\u09a7\u09cd\u09af\u09be\u09df \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09eb.\u09e7 \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8 \u0993 \u09b8\u09ae\u09be\u09a7\u09be\u09a8<\/strong><\/span><\/h4>\n\n\n\n
\n
\u098f\u0996\u09be\u09a8\u09c7 \u09ac\u09c1\u099d\u09a4\u09c7 \u0985\u09b8\u09c1\u09ac\u09bf\u09a7\u09be \u09b9\u09b2\u09c7 PDF \u09a6\u09c7\u0996\u09a4\u09c7 \u098f\u0996\u09be\u09a8\u09c7 \u0995\u09cd\u09b2\u09bf\u0995 \u0995\u09b0\u09c1\u09a8<\/a><\/div>\n<\/div>\n\n\n\n
\u09e7. \u09b2\u0998\u09bf\u09b7\u09cd\u09a0 \u0986\u0995\u09be\u09b0\u09c7 \u09aa\u09cd\u09b0\u0995\u09be\u09b6 \u0995\u09b0\u0983<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04x2<\/sup>y3<\/sup>z5<\/sup><\/strong>
(\u0995) ————-<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a09x5<\/sup>y2<\/sup>z3<\/sup><\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6
\u00a0\u00a0\u00a0\u00a0\u00a04x2<\/sup>y3<\/sup>z5<\/sup>
= ————
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a09x5<\/sup>y2<\/sup>z3<\/sup>
\u098f\u0996\u09be\u09a8\u09c7,
4 \u0993 9 \u098f\u09b0 \u0997\u09b8\u09be\u0997\u09c1 1
x2<\/sup>\u00a0\u0993 x5<\/sup>\u00a0\u098f\u09b0 \u0997\u09b8\u09be\u0997\u09c1 x2<\/sup>
y3<\/sup>\u00a0\u0993 y2<\/sup>\u00a0\u098f\u09b0 \u0997\u09b8\u09be\u0997\u09c1 y2<\/sup>
z5<\/sup>\u00a0\u0993 z3<\/sup>\u00a0\u098f\u09b0 \u0997\u09b8\u09be\u0997\u09c1 z3<\/sup>
\u2234\u00a04x2<\/sup>y3<\/sup>z5\u00a0<\/sup>\u0993 9x5<\/sup>y2<\/sup>z3<\/sup>\u00a0\u098f\u09b0 \u0997\u09b8\u09be\u0997\u09c1 x2<\/sup>y2<\/sup>z3<\/sup>
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u098f\u09b0 \u09b2\u09ac \u0993 \u09b9\u09b0\u0995\u09c7 x2<\/sup>y2<\/sup>z3<\/sup>\u00a0\u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09ad\u09be\u0997 \u0995\u09b0\u09c7 \u09aa\u09be\u0987
4yz2<\/sup>
—–
9x3<\/sup>
\u2234\u00a0\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u09b2\u0998\u09bf\u09b7\u09cd\u09a0 \u0986\u0995\u09be\u09b0 \u09b9\u09b2\u09cb
4yz2<\/sup>
—–
9x3<\/sup>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a016(2x)4<\/sup>(3y)5<\/sup><\/strong>
(\u0996) ——————<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(3x)3<\/sup>.(2y)6<\/sup><\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6
\u00a0\u00a0\u00a0\u00a0\u00a016(2x)4<\/sup>(3y)5<\/sup>
= —————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(3x)3<\/sup>.(2y)6<\/sup>
\u00a0\u00a0\u00a0\u00a0\u00a024<\/sup>\u271524<\/sup>\u2715x4<\/sup>\u271535<\/sup>y5<\/sup>
= ———————
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a033<\/sup>x3<\/sup>.26<\/sup>y6<\/sup>
\u00a0\u00a0\u00a028<\/sup>35<\/sup>x4<\/sup>y5<\/sup>
=————
\u00a0\u00a0\u00a026<\/sub>33<\/sup>x3<\/sup>y6<\/sup>
\u098f\u0996\u09be\u09a8\u09c7,
28<\/sup>\u00a0\u0993 26<\/sup>\u00a0\u098f\u09b0 \u0997\u09b8\u09be\u0997\u09c1 \u09b9\u09b2\u09cb 26<\/sup>
35<\/sup>\u00a0\u0993 33<\/sup>\u00a0\u098f\u09b0 \u0997\u09b8\u09be\u0997\u09c1 \u09b9\u09b2\u09cb 33<\/sup>
X4<\/sup>\u00a0\u0993 x3<\/sup>\u00a0\u098f\u09b0 \u0997\u09b8\u09be\u0997\u09c1 \u09b9\u09b2\u09cb x3<\/sup>
Y5<\/sup>\u00a0\u0993 y6<\/sup>\u00a0\u098f\u09b0 \u0997\u09b8\u09be\u0997\u09c1 \u09b9\u09b2\u09cb y5<\/sup>
\u223416(2x)4<\/sup>(3y)5<\/sup>\u00a0\u0993 (3x)3<\/sup>(2y)6<\/sup>\u00a0\u098f\u09b0 \u0997\u09b8\u09be\u0997\u09c1 \u09b9\u09b2\u09cb 26<\/sup>33<\/sup>x2<\/sup>y3<\/sup>
\u098f\u0996\u09a8 \u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u09ac \u0986\u09b0 \u09b9\u09b0\u0995\u09c7 26<\/sup>33<\/sup>x2<\/sup>y3\u00a0<\/sup>\u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09ad\u09be\u0997 \u0995\u09b0\u09c7 \u09aa\u09be\u0987,
22<\/sup>.32.<\/sup>.x
——–
\u00a0\u00a0\u00a0y
\u00a0\u00a0\u00a04.9.x
=——
\u00a0\u00a0\u00a0\u00a0\u00a0y
\u00a0\u00a036x
=——
\u00a0\u00a0\u00a0\u00a0y
\u2234\u00a0\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u09b2\u0998\u09bf\u09b7\u09cd\u09a0 \u0986\u0995\u09be\u09b0 \u09b9\u09b2\u09cb
\u00a0\u00a036x
——
\u00a0\u00a0\u00a0\u00a0y
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x3<\/sup>y+xy3<\/sup><\/strong>
(\u0997) —————<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>y3<\/sup>+x3<\/sup>y2<\/sup><\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x3<\/sup>y+xy3<\/sup>
= —————
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>y3<\/sup>+x3<\/sup>y2<\/sup>
\u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u09ac
= x3<\/sup>y+xy3<\/sup>
=xy(x2<\/sup>+y2<\/sup>)
\u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b9\u09b0
= x2<\/sup>y3<\/sup>+x3<\/sup>y2<\/sup>
=x2<\/sup>y2<\/sup>(x+y)
\u09b2\u09ac \u0986\u09b0 \u09b9\u09b0\u09c7\u09b0 \u0997\u09b8\u09be\u0997\u09c1 = xy
\u098f\u0996\u09a8 \u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u09ac \u0993 \u09b9\u09b0\u0995\u09c7 xy \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09ad\u09be\u0997 \u0995\u09b0\u09c7 \u09aa\u09be\u0987,
(x2<\/sup>+y2<\/sup>)
———-
xy(x+y)
\u2234\u00a0\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u09b2\u0998\u09bf\u09b7\u09cd\u09a0 \u0986\u0995\u09be\u09b0 \u09b9\u09b2\u09cb
(x2<\/sup>+y2<\/sup>)
———-
xy(x+y)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(a-b)(a+b)<\/strong>
(\u0998) —————<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a3<\/sup>-b3<\/sup><\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6
\u00a0\u00a0\u00a0\u00a0\u00a0(a-b)(a+b)
= ————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a3<\/sup>-b3<\/sup>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(a-b)(a+b)
= ——————–
\u00a0\u00a0\u00a0\u00a0\u00a0(a-b)(a2<\/sup>+ab+b2<\/sup>)
\u2234\u00a0\u09b2\u09ac \u0986\u09b0 \u09b9\u09b0\u09c7\u09b0 \u0997\u09b8\u09be\u0997\u09c1 = (a-b)
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u09ac \u0993 \u09b9\u09b0\u0995\u09c7 (a-b) \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09ad\u09be\u0997 \u0995\u09b0\u09c7 \u09aa\u09be\u0987,
\u00a0(a+b)
————
a2<\/sup>+ab+b2<\/sup>
\u09af\u09be \u09b9\u09b2\u09cb \u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u0998\u09bf\u09b7\u09cd\u09a0 \u0986\u0995\u09be\u09b0\u0964
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-6x+5<\/strong>
(\u0999) ————-<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-25<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6
\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-6x+5
= ————
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-25
\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-5x-x+5
= ————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-52<\/sup>
\u00a0\u00a0\u00a0\u00a0\u00a0x(x-5)-1(x-5)
= —————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-5)(x+5)
\u00a0\u00a0\u00a0\u00a0\u00a0(x-5)(x-1)
= —————
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-5)(x+5)
\u2234\u00a0\u09b2\u09ac \u098f\u09ac\u0982 \u09b9\u09b0\u09c7\u09b0 \u0997\u09b8\u09be\u0997\u09c1 =(x-5)
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u09ac \u0993 \u09b9\u09b0\u0995\u09c7 (x-5) \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09ad\u09be\u0997 \u0995\u09b0\u09c7 \u09aa\u09be\u0987,
(x-1)
——
(x+5)
\u09af\u09be \u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u0998\u09bf\u09b7\u09cd\u09a0 \u0986\u0995\u09be\u09b0\u0964
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-7x+12<\/strong>
(\u099a) ————–<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-9x+20<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u09ac
x2<\/sup>-7x+12
= x2<\/sup>-3x-4x+12
=x(x-3)-4(x-3)
=(x-3)(x-4)
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b9\u09b0
= x2<\/sup>-9x+20
= x2<\/sup>-4x-5x+20
=x(x-4)-5(x-4)
=(x-5)(x-4)
\u2234\u00a0\u09b2\u09ac \u098f\u09ac\u0982 \u09b9\u09b0\u09c7\u09b0 \u0997\u09b8\u09be\u0997\u09c1 =(x-4)
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u09ac \u0993 \u09b9\u09b0\u0995\u09c7 (x-4) \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09ad\u09be\u0997 \u0995\u09b0\u09c7 \u09aa\u09be\u0987,
\u00a0x-3
——
\u00a0x-5
\u09af\u09be \u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u0998\u09bf\u09b7\u09cd\u09a0 \u0986\u0995\u09be\u09b0\u0964
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x3<\/sup>-y3<\/sup>)(x2<\/sup>-xy+y2<\/sup>)<\/strong>
(\u099b) ———————<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x2<\/sup>-y2<\/sup>)(x3<\/sup>+y3<\/sup>)<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u09ac
=(x3<\/sup>-y3<\/sup>)(x2<\/sup>-xy+y2<\/sup>)
=(x-y)(x2<\/sup>-xy+y2<\/sup>)(x2<\/sup>-xy+y2<\/sup>)
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b9\u09b0
=(x2<\/sup>-y2<\/sup>)(x3<\/sup>+y3<\/sup>)
=(x+y)(x-y)(x+y)(x2<\/sup>-xy+y2<\/sup>)
\u2234\u00a0\u09b2\u09ac \u098f\u09ac\u0982 \u09b9\u09b0\u09c7\u09b0 \u0997\u09b8\u09be\u0997\u09c1 =(x-y)(x2<\/sup>-xy+y2<\/sup>)
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u09ac \u0993 \u09b9\u09b0\u0995\u09c7 (x-y)(x2<\/sup>-xy+y2<\/sup>) \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09ad\u09be\u0997 \u0995\u09b0\u09c7 \u09aa\u09be\u0987,
(x2<\/sup>\u2014xy+y2<\/sup>)
————
\u00a0\u00a0\u00a0\u00a0(x+y)2<\/sup>
\u09af\u09be \u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u0998\u09bf\u09b7\u09cd\u09a0 \u0986\u0995\u09be\u09b0\u0964
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a2<\/sup>-b2<\/sup>-2bc-c2<\/sup><\/strong>
(\u099c) ——————<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a2<\/sup>+2ab+b2<\/sup>-c2<\/sup><\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u09ac
= a2<\/sup>-b2<\/sup>-2bc-c2<\/sup>
=a2<\/sup>-(b2<\/sup>+2bc+c2<\/sup>)
=a2<\/sup>-(b+c)2<\/sup>
=(a-b-c)(a+b+c)
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b9\u09b0
= a2<\/sup>+2ab+b2<\/sup>-c2<\/sup>
=(a+b)2<\/sup>-c2<\/sup>
=(a+b+c)(a+b-c)
\u2234\u00a0\u09b2\u09ac \u098f\u09ac\u0982 \u09b9\u09b0\u09c7\u09b0 \u0997\u09b8\u09be\u0997\u09c1 =(a+b+c)
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u09ac \u0993 \u09b9\u09b0\u0995\u09c7 (a+b+c) \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09ad\u09be\u0997 \u0995\u09b0\u09c7 \u09aa\u09be\u0987,
(a-b-c)
———–
(a+b-c)
\u09af\u09be \u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b2\u0998\u09bf\u09b7\u09cd\u09a0 \u0986\u0995\u09be\u09b0\u0964
\u09e8. \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09b9\u09b0\u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7 \u09aa\u09cd\u09b0\u0995\u09be\u09b6 \u0995\u09b0\u0983<\/strong>
(\u0995)<\/strong>
x2<\/sup><\/strong>
—<\/strong>
xy<\/strong>
y2<\/sup><\/strong>
—<\/strong>
yz<\/strong>
z2<\/sup><\/strong>
—<\/strong>
zx<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b9\u09b0\u0997\u09c1\u09b2\u09cb\u09b0 \u09b2\u09b8\u09be\u0997\u09c1 = xyz
xyz\/xy=z
\u00a0\u00a0\u00a0x2<\/sup>
\u2234\u00a0—
\u00a0\u00a0\u00a0xy
\u00a0\u00a0\u00a0\u00a0x2<\/sup>\u2715z
=\u00a0——-
\u00a0\u00a0\u00a0\u00a0xy\u2715z
\u00a0\u00a0\u00a0\u00a0x2<\/sup>z
=\u00a0——-
\u00a0\u00a0\u00a0\u00a0xyz
xyx\u00f7yz=x
\u00a0\u00a0\u00a0y2<\/sup>
\u2234—-
\u00a0\u00a0\u00a0yz
\u00a0\u00a0\u00a0\u00a0y2<\/sup>\u2715x
=——-
\u00a0\u00a0\u00a0\u00a0yz\u2715x
\u00a0\u00a0\u00a0\u00a0xy2<\/sup>
=——-
\u00a0\u00a0\u00a0\u00a0xyz
xyx\u00f7zx=y
\u00a0\u00a0\u00a0z2<\/sup>
\u2234—–
\u00a0\u00a0\u00a0zx
\u00a0\u00a0\u00a0z2<\/sup>\u2715y
=——–
\u00a0\u00a0\u00a0zx\u2715y
\u00a0\u00a0\u00a0z2<\/sup>y
=—–
\u00a0\u00a0\u00a0\u00a0xyz
\u2234\u00a0\u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09b9\u09b0\u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0997\u09c1\u09b2\u09cb
\u00a0\u00a0x2<\/sup>z
\u00a0—–,
\u00a0\u00a0xyz
\u00a0\u00a0xy2<\/sup>
——- \u098f\u09ac\u0982
\u00a0\u00a0xyz
\u00a0z2<\/sup>y
—–
\u00a0xyz
(\u0996)<\/strong>
x-y<\/strong>
—-<\/strong>
xy<\/strong>
y-z<\/strong>
—-<\/strong>
yz<\/strong>
z-x<\/strong>
—-<\/strong>
zx<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0997\u09c1\u09b2\u09cb\u09b0 \u09b9\u09b0\u0997\u09c1\u09b2\u09cb\u09b0\u00a0\u00a0\u09b2\u09b8\u09be\u0997\u09c1 = xyz
\u09a4\u09be\u09b9\u09b2\u09c7,
x-y
—-
xy
\u00a0\u00a0\u00a0(x-y)z
=——–
\u00a0\u00a0\u00a0\u00a0xyz
\u00a0\u00a0\u00a0xz-yz
=——–
\u00a0\u00a0\u00a0\u00a0xyz
y-z
—-
yz
\u00a0\u00a0\u00a0(y-z)x
=——–
\u00a0\u00a0\u00a0\u00a0\u00a0xyz
\u00a0\u00a0\u00a0\u00a0xy-xz
=———
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0xyz
z-x
—-
zx
\u00a0\u00a0\u00a0(z-x)y
=———
\u00a0\u00a0\u00a0\u00a0xyz
\u00a0\u00a0\u00a0\u00a0yz-xy
=———
\u00a0\u00a0\u00a0\u00a0Xyz
\u2234\u00a0\u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09b9\u09b0\u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0997\u09c1\u09b2\u09cb\u0983
\u00a0\u00a0\u00a0xz-yz
\u00a0\u00a0——–,
\u00a0\u00a0\u00a0\u00a0xyz
\u00a0\u00a0\u00a0\u00a0xy-xz
\u00a0\u00a0\u00a0——— \u098f\u09ac\u0982
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0xyz
\u00a0\u00a0\u00a0\u00a0yz-xy
\u00a0\u00a0\u00a0———
\u00a0 \u00a0 \u00a0xyz
(\u0997)<\/strong>
\u00a0\u00a0x<\/strong>
—–<\/strong>
x-y<\/strong>
\u00a0\u00a0y<\/strong>
—–<\/strong>
x+y<\/strong>
\u00a0\u00a0\u00a0z<\/strong>
——–<\/strong>
x(x+y)<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0997\u09c1\u09b2\u09cb\u09b0 \u09b9\u09b0\u0997\u09c1\u09b2\u09cb\u09b0\u00a0\u00a0\u09b2\u09b8\u09be\u0997\u09c1 = x(x+y)(x-y)
\u09a4\u09be\u09b9\u09b2\u09c7,
\u00a0\u00a0x
—–
x-y
\u00a0\u00a0\u00a0\u00a0x.x(x+y)
=————–
\u00a0\u00a0\u00a0(x-y).x(x+y)
\u00a0\u00a0\u00a0\u00a0x2<\/sup>(x+y)
=———–
\u00a0\u00a0\u00a0\u00a0x(x2<\/sup>-y2<\/sup>)
\u00a0\u00a0y
—–
x+y
\u00a0\u00a0\u00a0\u00a0y.x(x-y)
=—————
\u00a0\u00a0\u00a0(x+y).x(x-y)
\u00a0\u00a0\u00a0\u00a0xy(x-y)
=————
\u00a0\u00a0\u00a0\u00a0\u00a0x(x2<\/sup>-y2<\/sup>)
\u00a0\u00a0\u00a0z
——–
x(x+y)
\u00a0\u00a0\u00a0\u00a0\u00a0z(x-y)
=————–
\u00a0\u00a0\u00a0\u00a0x(x+y)(x-y)
\u00a0\u00a0\u00a0\u00a0\u00a0z(x-y)
=————
\u00a0\u00a0\u00a0\u00a0\u00a0x(x2<\/sup>-y2<\/sup>)
\u2234\u00a0\u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09b9\u09b0\u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0997\u09c1\u09b2\u09cb\u0983
\u00a0\u00a0\u00a0\u00a0x2<\/sup>(x+y)
\u00a0\u00a0———–,
\u00a0\u00a0\u00a0\u00a0x(x2<\/sup>-y2<\/sup>)
\u00a0\u00a0\u00a0\u00a0xy(x-y)
\u00a0\u00a0\u00a0———- \u098f\u09ac\u0982
\u00a0\u00a0\u00a0\u00a0\u00a0x(x2<\/sup>-y2<\/sup>)
\u00a0\u00a0\u00a0\u00a0\u00a0z(x-y)
\u00a0\u00a0————
\u00a0\u00a0\u00a0\u00a0\u00a0x(x2<\/sup>-y2<\/sup>)
(\u0998)<\/strong>
x+y<\/strong>
——-<\/strong>
(x-y)2<\/sup><\/strong>
x-y<\/strong>
——-<\/strong>
x3<\/sup>+y3<\/sup><\/strong>
y-z<\/strong>
——-<\/strong>
x2<\/sup>-y2<\/sup><\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0997\u09c1\u09b2\u09cb\u09b0
\u09e7\u09ae \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b9\u09b0
=(x-y)2<\/sup>
=(x-y)(x-y)
\u09e8\u09af\u09bc \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b9\u09b0
=x3<\/sup>+y3<\/sup>
=(x+y)(x2<\/sup>-xy+y2<\/sup>)
\u09e9\u09af\u09bc \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b9\u09b0
=x2<\/sup>-y2<\/sup>
=(x-y)(x+y)
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0997\u09c1\u09b2\u09cb\u09b0 \u09b9\u09b0\u0997\u09c1\u09b2\u09cb\u09b0 \u09b2\u09b8\u09be\u0997\u09c1
= (x-y)(x-y)(x+y)(x2<\/sup>-xy+y2<\/sup>)
=(x-y)2<\/sup>(x3<\/sup>+y3<\/sup>)
\u09a4\u09be\u09b9\u09b2\u09c7,
x+y
——-
(x-y)2<\/sup>
\u00a0\u00a0\u00a0\u00a0(x+y) (x3<\/sup>+y3<\/sup>)
=—————-
\u00a0 \u00a0\u00a0(x-y)2<\/sup>(x3<\/sup>+y3<\/sup>)
x-y
——-
x3<\/sup>+y3<\/sup>
\u00a0\u00a0\u00a0(x-y) (x-y)2<\/sup>
=—————–
\u00a0\u00a0\u00a0(x3<\/sup>+y3<\/sup>) (x-y)2<\/sup>
\u00a0\u00a0\u00a0\u00a0\u00a0(x-y)3<\/sup>
=—————-
\u00a0\u00a0\u00a0(x3<\/sup>+y3<\/sup>) (x-y)2<\/sup>
y-z
—–
x2<\/sup>-y2<\/sup>
\u00a0\u00a0\u00a0\u00a0\u00a0y-z
=————-
\u00a0\u00a0\u00a0(x-y)(x+y)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(y-z) (x-y)(x2<\/sup>-xy+y2<\/sup>)
=—————————-
\u00a0\u00a0\u00a0(x-y)(x+y)(x-y)(x2<\/sup>-xy+y2<\/sup>)
\u00a0\u00a0\u00a0\u00a0(y-z) (x-y)(x2<\/sup>-xy+y2<\/sup>)
=————————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-y)2<\/sup>(x3<\/sup>+y3<\/sup>)
\u2234\u00a0\u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09b9\u09b0\u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0997\u09c1\u09b2\u09cb\u0983
\u00a0\u00a0\u00a0\u00a0(x+y) (x3<\/sup>+y3<\/sup>)
\u00a0\u00a0—————-,
\u00a0\u00a0\u00a0(x-y)2<\/sup>(x3<\/sup>+y3<\/sup>)
\u00a0 \u00a0 \u00a0 \u00a0\u00a0\u00a0(x-y)3<\/sup>
\u00a0\u00a0—————- \u098f\u09ac\u0982
\u00a0\u00a0\u00a0(x3<\/sup>+y3<\/sup>) (x-y)2<\/sup>
\u00a0\u00a0\u00a0\u00a0\u00a0(y-z) (x-y)(x2<\/sup>-xy+y2<\/sup>)
\u00a0\u00a0\u00a0\u00a0————————
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-y)2<\/sup>(x3<\/sup>+y3<\/sup>)
(\u0999)<\/strong>
\u00a0\u00a0a<\/strong>
——<\/strong>
a3<\/sup>+b3<\/sup><\/strong>
\u00a0\u00a0\u00a0b<\/strong>
————<\/strong>
a2<\/sup>+ab+b2<\/sup><\/strong>
\u00a0 \u00a0c<\/strong>
——-<\/strong>
a3<\/sup>-b3<\/sup><\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0997\u09c1\u09b2\u09cb\u09b0
\u09e7\u09ae \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b9\u09b0
=a3<\/sup>+b3<\/sup>
=(a+b)(a2<\/sup>-ab+b2<\/sup>)
\u09e8\u09af\u09bc \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b9\u09b0
= a2<\/sup>+ab+b2<\/sup>
\u09e9\u09af\u09bc \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b9\u09b0
= a3<\/sup>-b3<\/sup>
=(a-b)(a2<\/sup>+ab+b2<\/sup>)
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0997\u09c1\u09b2\u09cb\u09b0 \u09b9\u09b0\u0997\u09c1\u09b2\u09cb\u09b0 \u09b2\u09b8\u09be\u0997\u09c1
= (a-b)(a+b)(a2<\/sup>-ab+b2<\/sup>)(a2<\/sup>+ab+b2<\/sup>)
= (a3<\/sup>-b3<\/sup>)(a3<\/sup>+b3<\/sup>)
\u09a4\u09be\u09b9\u09b2\u09c7,
\u00a0\u00a0a
——
a3<\/sup>+b3<\/sup>
\u00a0\u00a0\u00a0\u00a0a(a3<\/sup>-b3<\/sup>)
=—————–
\u00a0\u00a0\u00a0(a3<\/sup>+b3<\/sup>) (a3<\/sup>-b3<\/sup>)
\u00a0\u00a0\u00a0\u00a0\u00a0a(a3<\/sup>-b3<\/sup>)
=————
\u00a0\u00a0\u00a0\u00a0\u00a0(a6<\/sup>-b6<\/sup>)\u00a0\u00a0
\u00a0\u00a0\u00a0\u00a0\u00a0b
————
a2<\/sup>+ab+b2<\/sup>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0b(a-b)(a+b)(a2<\/sup>-ab+b2<\/sup>)
=————————————-
\u00a0\u00a0\u00a0(a2<\/sup>+ab+b2<\/sup>) (a-b)(a+b)(a2<\/sup>-ab+b2<\/sup>)
\u00a0\u00a0\u00a0\u00a0\u00a0b(a-b)(a3<\/sup>+b3<\/sup>)
=——————-
\u00a0\u00a0\u00a0\u00a0\u00a0(a3<\/sup>+b3<\/sup>) (a3<\/sup>-b3<\/sup>)
\u00a0\u00a0\u00a0\u00a0b(a-b)(a3<\/sup>+b3<\/sup>)
=—————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(a6<\/sup>-b6<\/sup>)
\u00a0 \u00a0\u00a0c
——-
a3<\/sup>-b3<\/sup>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0c(a3<\/sup>+b3<\/sup>)
=——————
\u00a0\u00a0\u00a0\u00a0(a3<\/sup>-b3<\/sup>)\u00a0<\/sup>(a3<\/sup>+b3<\/sup>)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0c(a3<\/sup>+b3<\/sup>)
=————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(a6<\/sup>-b6<\/sup>)
\u2234\u00a0\u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09b9\u09b0\u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0997\u09c1\u09b2\u09cb\u0983
\u00a0\u00a0\u00a0\u00a0\u00a0a(a3<\/sup>-b3<\/sup>)
\u00a0\u00a0\u00a0————,
\u00a0\u00a0\u00a0\u00a0\u00a0(a6<\/sup>-b6<\/sup>)\u00a0\u00a0
\u00a0\u00a0\u00a0\u00a0b(a-b)(a3<\/sup>+b3<\/sup>)
\u00a0\u00a0—————– \u098f\u09ac\u0982
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(a6<\/sup>-b6<\/sup>)
\u00a0\u00a0\u00a0\u00a0c(a3<\/sup>+b3<\/sup>)
\u00a0\u00a0————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(a6<\/sup>-b6<\/sup>)
(\u099a)<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a01<\/strong>
———-<\/strong>
x2<\/sup>-5x+6<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a01<\/strong>
———-<\/strong>
x2<\/sup>-7x+12<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a01<\/strong>
———-<\/strong>
x2<\/sup>-9x+20<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0997\u09c1\u09b2\u09cb\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7
\u09e7\u09ae \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b9\u09b0
= x2<\/sup>-5x+6
=x2<\/sup>-2x-3x+6
=x(x-2)-3(x-2)
=(x-2)(x-3)
\u09e8\u09af\u09bc \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b9\u09b0
= x2<\/sup>-7x+12
= x2<\/sup>-3x-4x+12
=x(x-3)-4(x-3)
=(x-3)(x-4)
\u09e9\u09af\u09bc \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7\u09b0 \u09b9\u09b0
= x2<\/sup>-9x+20
= x2<\/sup>-4x-5x+20
=x(x-4)-5(x-4)
=(x-5)(x-4)
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0997\u09c1\u09b2\u09cb\u09b0 \u09b9\u09b0\u0997\u09c1\u09b2\u09cb\u09b0 \u09b2\u09b8\u09be\u0997\u09c1 = (x-2)(x-3)(x-4)(x-5)
\u00a0\u00a0\u00a0\u00a0\u00a01
———-
x2<\/sup>-5x+6
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01
=———-
\u00a0\u00a0\u00a0(x-2)(x-3)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-4)(x-5)
=———————
\u00a0\u00a0\u00a0(x-2)(x-3)(x-4)(x-5)
\u00a0\u00a0\u00a0\u00a0\u00a01
———-
x2<\/sup>-7x+12
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01
=————
\u00a0\u00a0\u00a0\u00a0(x-3)(x-4)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-2)(x-5)
=———————–
\u00a0\u00a0\u00a0\u00a0(x-3)(x-4)(x-2)(x-5)
\u00a0\u00a0\u00a0\u00a0\u00a01
———-
x2<\/sup>-9x+20
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01
=———–
\u00a0\u00a0\u00a0(x-4)(x-5)
\u00a0 \u00a0 \u00a0 \u00a0\u00a0(x-2)(x-3)
=———————-
\u00a0\u00a0\u00a0(x-4)(x-5)(x-2)(x-3)
\u2234\u00a0\u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09b9\u09b0\u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0997\u09c1\u09b2\u09cb\u0983
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-4)(x-5)
\u00a0\u00a0\u00a0——————–,
\u00a0\u00a0\u00a0(x-2)(x-3)(x-4)(x-5)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-2)(x-5)
\u00a0\u00a0———————– \u098f\u09ac\u0982
\u00a0\u00a0\u00a0\u00a0(x-3)(x-4)(x-2)(x-5)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-2)(x-3)
\u00a0\u00a0———————-
\u00a0\u00a0\u00a0(x-4)(x-5)(x-2)(x-3)
(\u099b)<\/strong>
a-b<\/strong>
—–<\/strong>
a2<\/sup>b2<\/sup><\/strong>
b-c<\/strong>
—–<\/strong>
b2<\/sup>c2<\/sup><\/strong>
c-a<\/strong>
—–<\/strong>
c2<\/sup>a2<\/sup><\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0997\u09c1\u09b2\u09cb\u09b0 \u09b9\u09b0\u0997\u09c1\u09b2\u09cb\u09b0 \u09b2\u09b8\u09be\u0997\u09c1 = a2<\/sup>b2<\/sup>c2<\/sup>
\u09a4\u09be\u09b9\u09b2\u09c7,
a-b
—–
a2<\/sup>b2<\/sup>
\u00a0\u00a0\u00a0c2<\/sup>(a-b)
=———
\u00a0\u00a0\u00a0a2<\/sup>b2<\/sup>c2<\/sup>
b-c
—–
b2<\/sup>c2<\/sup>
\u00a0\u00a0\u00a0a2<\/sup>(b-c)
=———
\u00a0\u00a0\u00a0a2<\/sup>b2<\/sup>c2<\/sup>
c-a
—–
c2<\/sup>a2<\/sup>
\u00a0\u00a0\u00a0b2<\/sup>(c-a)
=———
\u00a0\u00a0\u00a0b2<\/sup>c2<\/sup>a2<\/sup>
\u2234\u00a0\u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09b9\u09b0\u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0997\u09c1\u09b2\u09cb\u0983
\u00a0\u00a0\u00a0c2<\/sup>(a-b)
\u00a0\u00a0———,
\u00a0\u00a0\u00a0a2<\/sup>b2<\/sup>c2<\/sup>
\u00a0\u00a0\u00a0a2<\/sup>(b-c)
\u00a0\u00a0——— \u098f\u09ac\u0982
\u00a0\u00a0\u00a0a2<\/sup>b2<\/sup>c2<\/sup>
\u00a0\u00a0\u00a0b2<\/sup>(c-a)
\u00a0\u00a0———
\u00a0\u00a0\u00a0b2<\/sup>c2<\/sup>a2<\/sup>
(\u099c)<\/strong>
x-y<\/strong>
—–<\/strong>
x+y<\/strong>
y-z<\/strong>
—–<\/strong>
y+z<\/strong>
z-x<\/strong>
—-<\/strong>
z+x<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0997\u09c1\u09b2\u09cb\u09b0 \u09b9\u09b0\u0997\u09c1\u09b2\u09cb\u09b0 \u09b2\u09b8\u09be\u0997\u09c1 = (x+y)(y+z)(z+x)
\u09a4\u09be\u09b9\u09b2\u09c7,
x-y
—–
x+y
\u00a0\u00a0\u00a0(x-y)(y+z)(z+x)
=——————–
\u00a0\u00a0\u00a0(x+y)(y+z)(z+x)
y-z
—–
y+z
\u00a0\u00a0\u00a0\u00a0(y-z)(x+y)(z+x)
=——————-
\u00a0\u00a0\u00a0(y+z)(x+y)(z+x)
z-x
—-
z+x
\u00a0\u00a0\u00a0(z-x)(x+y)(y+z)
=——————
\u00a0\u00a0\u00a0(z+x)(x+y)(y+z)
\u2234\u00a0\u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09b9\u09b0\u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0997\u09c1\u09b2\u09cb\u0983
\u00a0\u00a0\u00a0(x-y)(y+z)(z+x)
\u00a0\u00a0——————-,
\u00a0\u00a0\u00a0(x+y)(y+z)(z+x)
\u00a0\u00a0\u00a0\u00a0(y-z)(x+y)(z+x)
\u00a0\u00a0——————-\u00a0\u00a0\u098f\u09ac\u0982
\u00a0\u00a0\u00a0(y+z)(x+y)(z+x)
\u00a0\u00a0\u00a0(z-x)(x+y)(y+z)
\u00a0\u00a0\u00a0——————
\u00a0\u00a0\u00a0(z+x)(x+y)(y+z)
\u09e9. \u09af\u09cb\u0997\u09ab\u09b2 \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u0983<\/strong>
\u00a0 \u00a0 \u00a0 \u00a0\u00a0a-b\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a+b<\/strong>
(\u0995) —— + ——-<\/strong>
\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0a\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0b<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u00a0a-b\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a+b
—— + ——-
\u00a0\u00a0a\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0b
\u00a0\u00a0\u00a0\u00a0b(a-b)+a(a+b)
=——————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0ab
\u00a0\u00a0\u00a0\u00a0ab-b2<\/sup>+a2<\/sup>+ab
=——————
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0ab
\u00a0\u00a0\u00a0a2<\/sup>+2ab-b2<\/sup>
=————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0ab
\u00a0 \u00a0 \u00a0 \u00a0\u00a0a\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0b\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0c<\/strong>
(\u0996)—–+—–+—–<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0bc\u00a0\u00a0\u00a0\u00a0\u00a0ca\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0ab<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u00a0 \u00a0a\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0b\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0c
—-+—–+—–
\u00a0bc\u00a0\u00a0\u00a0\u00a0\u00a0ca\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0ab
\u00a0\u00a0\u00a0a2<\/sup>+b2<\/sup>+c2<\/sup>
=————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0abc
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x-y\u00a0\u00a0\u00a0\u00a0\u00a0y-z\u00a0\u00a0\u00a0\u00a0\u00a0z-x<\/strong>
(\u0997) —–+—–+—–<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0y\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0z<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u00a0x-y\u00a0\u00a0\u00a0\u00a0\u00a0y-z\u00a0\u00a0\u00a0\u00a0\u00a0z-x
—–+—–+—–
\u00a0\u00a0x\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0y\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0z
\u00a0\u00a0\u00a0yz(x-y)+zx(y-z)+xy(z-x)
=————————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0xyz
\u00a0\u00a0\u00a0xyz-zy2<\/sup>+xyz-xz2<\/sup>+xyz-x2<\/sup>y
=—————————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0xyz
\u00a0\u00a0\u00a03xyz-x2<\/sup>y-y2<\/sup>z-z2<\/sup>x
=——————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0xyz
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x+y\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x-y<\/strong>
(\u0998) ——- + ——-<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x-y\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x+y<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u00a0x+y\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x-y
——- + ——-
\u00a0\u00a0x-y\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x+y
\u00a0\u00a0\u00a0(x+y)2<\/sup>+(x-y)2<\/sup>
=—————
\u00a0\u00a0\u00a0\u00a0\u00a0(x-y)(x+y)
\u00a0\u00a0\u00a0\u00a0x2<\/sup>+2xy+y2<\/sup>+x2<\/sup>-2xy+y2<\/sup>
=————————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-y2<\/sup>
\u00a0\u00a0\u00a02x2<\/sup>+2y2<\/sup>
=———-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-y2<\/sup>
\u00a0\u00a0\u00a02(x2<\/sup>+y2<\/sup>)
=———-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-y2<\/sup>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01<\/strong>
(\u0999) ———-+ ———- +———-<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-3x+2\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-4x+3\u00a0\u00a0\u00a0\u00a0x2<\/sup>-5x+4<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
X2<\/sup>-3x+2
=x2<\/sup>-2x-x+2
=x(x-2)-1(x-2)
=(x-1)(x-2)
x2<\/sup>-4x+3\u00a0\u00a0\u00a0\u00a0\u00a0
=x2<\/sup>-3x-x+3
=x(x-3)-1(x-3)
=(x-3)(x-1)
\u098f\u09ac\u0982,
x2<\/sup>-5x+4
= x2<\/sup>-4x-x+4
=x(x-4)-1(x-4)
=(x-1)(x-4)
\u09a4\u09be\u09b9\u09b2\u09c7,
\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01
———-+ ———- +———-
\u00a0x2<\/sup>-3x+2\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-4x+3\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-5x+4
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01
=————+ ———— +———-
\u00a0\u00a0(x-1)(x-2)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-3)(x-1)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-4)(x-1)
\u00a0\u00a01.(x-3)(x-4)+1.(x-2)(x-4)+1.(x-3)(x-2)
=—————————————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-1)(x-2)(x-3)(x-4)
\u00a0\u00a0\u00a0x2<\/sup>-7x+12+x2<\/sup>-6x+8+x2<\/sup>-5x+6
=———————————
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-1)(x-2)(x-3)(x-4)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03x2<\/sup>-18x+26
=——————–
\u00a0\u00a0(x-1)(x-2)(x-3)(x-4)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01<\/strong>
(\u099a)——–+————+————<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a2<\/sup>-b2<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0a2<\/sup>+ab+b2<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0a2<\/sup>-ab+b2<\/sup><\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01
——–+————+————
\u00a0\u00a0a2<\/sup>-b2<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0a2<\/sup>+ab+b2<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0a2<\/sup>-ab+b2<\/sup>
\u00a0(a2<\/sup>+ab+b2<\/sup>)( a2<\/sup>-ab+b2<\/sup>)+( a2<\/sup>-b2<\/sup>)( a2<\/sup>-ab+b2<\/sup>)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0+( a2<\/sup>-b2<\/sup>)( a2<\/sup>-ab+b2<\/sup>)
=——————————————
\u00a0\u00a0\u00a0\u00a0\u00a0(a2<\/sup>-b2<\/sup>)( a2<\/sup>+ab+b2<\/sup>)( a2<\/sup>-ab+b2<\/sup>)
a4<\/sup>-a3<\/sup>b+a2<\/sup>b2<\/sup>+a3<\/sup>b-a2<\/sup>b2<\/sup>+ab3<\/sup>+a2<\/sup>b2<\/sup>-ab3<\/sup>+b4<\/sup>
+(a-b)(a+b) ( a2<\/sup>-ab+b2<\/sup>)+(a-b)(a+b) ( a2<\/sup>-ab+b2<\/sup>)
=————————————————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(a-b)(a+b) ( a2<\/sup>+ab+b2<\/sup>)( a2<\/sup>-ab+b2<\/sup>)
\u00a0\u00a0\u00a0a4<\/sup>+a2<\/sup>b2<\/sup>+b4<\/sup>+(a-b)(a3<\/sup>+b3<\/sup>)+(a+b)(a3<\/sup>-b3<\/sup>)
=——————————————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(a3<\/sup>-b3<\/sup>)(a3<\/sup>+b3<\/sup>)
\u00a0\u00a0a4<\/sup>+a2<\/sup>b2<\/sup>+b4<\/sup>+a4<\/sup>+ab3<\/sup>-a3<\/sup>b-b4<\/sup>+a4<\/sup>-ab3<\/sup>+a3<\/sup>b-b4<\/sup>
=———————————————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(a6<\/sup>-b6<\/sup>)
\u00a0\u00a0\u00a03a4<\/sup>+a2<\/sup>b2<\/sup>-b4<\/sup>
=————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a6<\/sup>-b6<\/sup>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04<\/strong>
(\u099b)——+——-+——–<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x-2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x+2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-4<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983
\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04
——+——-+——–
\u00a0x-2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x+2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-4
\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04
=——+——-+————–
\u00a0\u00a0\u00a0\u00a0x-2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x+2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-2)(x+2)
\u00a0\u00a0\u00a0\u00a0\u00a0(x+2)-(x-2)+4
=——————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-2)(x+2)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x+2-x+2+4
=—————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-4
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a08
=———
\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-4
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04<\/strong>
(\u099c) —— +——-+——-<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x4<\/sup>-1\u00a0\u00a0\u00a0\u00a0\u00a0x8<\/sup>-1<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04
—— +——+——-
\u00a0x2<\/sup>-1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x4<\/sup>-1\u00a0\u00a0\u00a0\u00a0\u00a0x8<\/sup>-1
\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0
=—— +—————-
\u00a0\u00a0\u00a0\u00a0x2<\/sup>-1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x2<\/sup>-1)(x2<\/sup>+1)\u00a0\u00a0
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0+—————\u00a0
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x4<\/sup>-1)(x4<\/sup>+1)\u00a0\u00a0
\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0
=—— +—————-
\u00a0\u00a0\u00a0\u00a0x2<\/sup>-1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x2<\/sup>-1)(x2<\/sup>+1)\u00a0\u00a0
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0+———————\u00a0
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x2<\/sup>-1)(x2<\/sup>+1)(x4<\/sup>+1)\u00a0\u00a0
\u00a0\u00a0(x2<\/sup>+1)(x4<\/sup>+1)+(x4<\/sup>+1)+4
=————————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x2<\/sup>-1)(x2<\/sup>+1)(x4<\/sup>+1)\u00a0\u00a0
\u00a0\u00a0\u00a0x6<\/sup>+x4<\/sup>+x2<\/sup>+1+x4<\/sup>+1+4
=————————
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x4<\/sup>-1)(x4<\/sup>+1)\u00a0\u00a0
\u00a0\u00a0\u00a0x6<\/sup>+2x4<\/sup>+x2<\/sup>+6
=—————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x8<\/sup>-1<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
\u09ea. \u09ac\u09bf\u09af\u09bc\u09cb\u0997\u09ab\u09b2 \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u0983<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a2<\/sup><\/strong>
(\u0995) —– –\u00a0 ——-<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x-3\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-9<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u00a0\u00a0a\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a2<\/sup>
—– – ——-
\u00a0x-3\u00a0 \u00a0\u00a0x2<\/sup>-9
\u00a0\u00a0\u00a0\u00a0\u00a0a\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a2<\/sup>
=—– – ————–
\u00a0\u00a0\u00a0\u00a0x-3\u00a0\u00a0\u00a0(x-3)(x+3)
\u00a0\u00a0\u00a0\u00a0a(x+3)-a2<\/sup>
=————–
\u00a0\u00a0\u00a0(x-3)(x+3)
\u00a0\u00a0\u00a0\u00a0ax+3a-a2<\/sup>
=———–
\u00a0\u00a0\u00a0(x-3)(x+3)
\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01<\/strong>
(\u0996) ——– – ————-<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0y(x-y)\u00a0\u00a0\u00a0\u00a0x(x+y)<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01
\u00a0——– – ——–
\u00a0\u00a0y(x-y)\u00a0\u00a0\u00a0x(x+y)
\u00a0\u00a01.x(x+y)-1.y(x-y)
=——————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0xy(x-y)(x+y)
\u00a0\u00a0\u00a0\u00a0x2<\/sup>+xy-xy+y2<\/sup>
=—————
\u00a0 \u00a0 \u00a0\u00a0xy(x2<\/sup>-y2<\/sup>)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>+y2<\/sup>
=————-
\u00a0\u00a0\u00a0\u00a0\u00a0xy(x2<\/sup>-y2<\/sup>)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x-1<\/strong>
(\u0997)——— – ———–<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a01+x+x2<\/sup>\u00a0\u00a0\u00a01-x+x2<\/sup><\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u00a0 \u00a0x+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x-1
——— – ———
1+x+x2<\/sup>\u00a0\u00a0\u00a01-x+x2<\/sup>
\u00a0\u00a0(x+1)(1-x+x2<\/sup>)-(x-1)( 1+x+x2<\/sup>)
=——————————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(1+x+x2<\/sup>)(1-x+x2<\/sup>)
\u00a0\u00a0(x+1)(1-x+x2<\/sup>)-(x-1)( 1+x+x2<\/sup>)
=——————————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0{(1+x2<\/sup>)+x}{(1+x2<\/sup>)-x}
\u00a0\u00a0\u00a0(x3<\/sup>+1)-(x3<\/sup>-1)
=—————
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(1+x2<\/sup>)2<\/sup>-x2<\/sup>
\u00a0 \u00a0 \u00a0x3<\/sup>+1-x3<\/sup>+1
=—————-
\u00a0\u00a0\u00a0\u00a01+2x2<\/sup>+x4<\/sup>-x2<\/sup>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02
=————
\u00a0\u00a0\u00a0\u00a01+x2<\/sup>+x4<\/sup>
\u00a0 \u00a0 \u00a0 \u00a0\u00a0a2<\/sup>+16b2<\/sup>\u00a0\u00a0\u00a0\u00a0a-4b<\/strong>
(\u0998) ———— – ———–<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a2<\/sup>-16b2<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a+4b<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u00a0\u00a0a2<\/sup>+16b2<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0a-4b
\u00a0———— – ———
\u00a0\u00a0a2<\/sup>-16b2<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a+4b
\u00a0 \u00a0 \u00a0a2<\/sup>+16b2<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0a-4b
\u00a0=———— – ———
\u00a0\u00a0\u00a0\u00a0a2<\/sup>-(4b)2<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a+4b
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a2<\/sup>+16b2<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a-4b
\u00a0=—————- – ———
\u00a0\u00a0\u00a0\u00a0(a-4b)(a+4b)\u00a0\u00a0\u00a0\u00a0a+4b
\u00a0\u00a0\u00a0a2<\/sup>+16b2<\/sup>-(a-4b)(a-4b)
=———————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(a-4b)(a+4b)
\u00a0\u00a0\u00a0a2<\/sup>+16b2<\/sup>-(a-4b)2<\/sup>
=——————-
\u00a0\u00a0\u00a0\u00a0(a-4b)(a+4b)
\u00a0\u00a0\u00a0a2<\/sup>+16b2<\/sup>-a2<\/sup>+8ab-16b2<\/sup>
=————————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(a-4b)(a+4b)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a08ab
=—————-
\u00a0\u00a0\u00a0\u00a0(a-4b)(a+4b)
\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-xy+y2<\/sup><\/strong>
(\u0999)——- – ————-<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x-y\u00a0\u00a0\u00a0\u00a0\u00a0x3<\/sup>+y3<\/sup><\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-xy+y2<\/sup>
——- – ———-
\u00a0\u00a0\u00a0x-y\u00a0\u00a0\u00a0\u00a0\u00a0x3<\/sup>+y3<\/sup>
\u00a0\u00a0\u00a0x3<\/sup>+y3<\/sup>-(x-y)( x2<\/sup>-xy+y2<\/sup>)
=————————-
\u00a0 \u00a0 \u00a0 \u00a0\u00a0(x-y)( x3<\/sup>+y3<\/sup>)
\u00a0\u00a0x3<\/sup>+y3<\/sup>-x3<\/sup>+x2<\/sup>y-xy2<\/sup>+x2<\/sup>y-xy2<\/sup>+y3<\/sup>
=——————————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-y)( x3<\/sup>+y3<\/sup>)
\u00a0\u00a0\u00a02x2<\/sup>y-2xy2<\/sup>+2y3<\/sup>
=—————–
\u00a0\u00a0\u00a0\u00a0\u00a0(x-y)(x3<\/sup>+y3<\/sup>)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02y(x2<\/sup>-xy+y2<\/sup>)
=————————–
\u00a0\u00a0\u00a0\u00a0\u00a0(x-y)( x+y)(x2<\/sup>-xy+y2<\/sup>)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02y
=—————
\u00a0\u00a0\u00a0\u00a0(x-y)(x+y)
\u00a0 \u00a0 \u00a02y
=——–
\u00a0\u00a0\u00a0x2<\/sup>-y2<\/sup>
\u09eb. \u09b8\u09b0\u09b2 \u0995\u09b0\u0983<\/strong>
(\u0995)<\/strong>
\u00a0x-y\u00a0\u00a0\u00a0y-z\u00a0\u00a0\u00a0\u00a0\u00a0z-x<\/strong>
—–+—–+——-<\/strong>
\u00a0xy\u00a0\u00a0\u00a0\u00a0\u00a0yz\u00a0\u00a0\u00a0\u00a0\u00a0zx<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
x-y\u00a0\u00a0\u00a0\u00a0\u00a0y-z\u00a0\u00a0\u00a0\u00a0z-x
—–+—–+—–
\u00a0xy\u00a0\u00a0\u00a0\u00a0\u00a0yz\u00a0\u00a0\u00a0\u00a0\u00a0zx
\u00a0\u00a0\u00a0z(x-y)+x(y-z)+y(z-x)
=———————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0xyz
\u00a0\u00a0\u00a0zx-zy+xy-zx+yz-xy
=———————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0xyz
\u00a0\u00a0\u00a0\u00a0\u00a00
=——
\u00a0\u00a0\u00a0\u00a0xyz
=0
(\u0996)<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x-y\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0y-z\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0z-x<\/strong>
———— + ————- + —————<\/strong>
(x+y)(y+z)\u00a0 (y+z)(z+x)\u00a0 \u00a0(z+x)(x+y)<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x-y\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0y-z\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0z-x
———— + ————-+————
(x+y)(y+z)\u00a0\u00a0(y+z)(z+x)\u00a0\u00a0(z+x)(x+y)
\u00a0\u00a0(z+x)(x-y)+(x+y)(y-z)+(y+z)(z-x)
=————————————
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x+y)(y+z)(z+x)
\u00a0\u00a0\u00a0zx+x2<\/sup>-zy-xy+xy+y2<\/sup>-zx-yz+yz+z2<\/sup>-xy-za
=———————————————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x+y)(y+z)(z+x)
\u00a0\u00a0\u00a0x2<\/sup>+y2<\/sup>+z2<\/sup>-xy-yz-xz
=———————
\u00a0\u00a0\u00a0\u00a0\u00a0(x+y)(y+z)(z+x)
(\u0997)<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0y\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0z<\/strong>
———– + ————+—————–<\/strong>
(x-y)(y-z)\u00a0\u00a0\u00a0(z-x)(x-y)\u00a0\u00a0\u00a0(y-z)(x-z)<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0y\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0z
———– + ———– + ———–
(x-y)(y-z)\u00a0 \u00a0(z-x)(x-y)\u00a0 \u00a0(y-z)(x-z)
\u00a0\u00a0\u00a0\u00a0y(z-x)+x(y-z)-z(x-y)
=————————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-y)(y-z)(z-x)
\u00a0\u00a0\u00a0yz-xy+xy-zx-zx+yz
=———————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-y)(y-z)(z-x)
\u00a0\u00a0\u00a0\u00a0\u00a0-2zx+2yz
=——————
\u00a0\u00a0\u00a0\u00a0(x-y)(y-z)(z-x)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0-2z(x-y)
=——————
\u00a0\u00a0\u00a0\u00a0(x-y)(y-z)(z-x)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0-2z
=————–
\u00a0\u00a0\u00a0\u00a0\u00a0(y-z)(z-x)
(\u0998)<\/strong>
\u00a0\u00a0\u00a01\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a01\u00a0 \u00a0 \u00a0 \u00a02x<\/strong>
——- + ——\u00a0 +———–<\/strong>
x+3y\u00a0 \u00a0 \u00a0\u00a0x-3y\u00a0\u00a0x2<\/sup>-9y2<\/sup><\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u00a0\u00a0\u00a0\u00a01\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02x
——- + —— + ———
\u00a0x+3y\u00a0\u00a0\u00a0\u00a0x-3y\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-9y2<\/sup>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02x
=——-+——+———-
\u00a0\u00a0\u00a0x+3y\u00a0\u00a0\u00a0x-3y\u00a0\u00a0{x2<\/sup>-(3y)2<\/sup>}
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02x
=——-+——+—————-
\u00a0\u00a0\u00a0x+3y\u00a0 \u00a0x-3y\u00a0\u00a0(x-3y)(x+3y)
\u00a0\u00a0\u00a0\u00a0(x-3y)+(x+3y)+2x
=———————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-3y)(x+3y)
\u00a0\u00a0\u00a0x-3y+x+3y-2x
=—————–
\u00a0\u00a0\u00a0\u00a0(x-3y)(x+3y)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a00
=—————
\u00a0\u00a0\u00a0\u00a0(x-3y)(x+3y)
=0
(\u0999)<\/strong>
\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02\u00a0 \u00a0 \u00a0 \u00a0 \u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02<\/strong>
—–\u00a0\u00a0–\u00a0\u00a0——- + —— – ———-<\/strong>
\u00a0x-y\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02x+y\u00a0\u00a0\u00a0\u00a0x+y\u00a0 \u00a0 \u00a0\u00a02x-y<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02
—–\u00a0\u00a0–\u00a0\u00a0——- + —— – ——-
\u00a0x-y\u00a0\u00a0\u00a0\u00a0\u00a02x+y\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x+y\u00a0\u00a0\u00a0\u00a02x-y
\u00a0\u00a02x+y-2(x-y)\u00a0\u00a0\u00a02x-y-2(x+y)
=————- + ————–
\u00a0\u00a0\u00a0(x-y)(2x+y)\u00a0\u00a0(x+y)(2x-y)
\u00a0\u00a02x+y-2x+2y\u00a0\u00a0\u00a02x-y-2x-2y
=————- + ————–
\u00a0\u00a0\u00a0(x-y)(2x+y)\u00a0\u00a0(x+y)(2x-y)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03y\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0-3 y
=————- + ————–
\u00a0\u00a0\u00a0(x-y)(2x+y)\u00a0\u00a0(x+y)(2x-y)
\u00a0\u00a03y(x+y)(2x-y)-3y(x-y)(2x+y)
=———————————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-y)(2x+y)(x+y)(2x-y)
\u00a03y(2x2<\/sup>+2xy-xy-y2<\/sup>)-3y(2x2<\/sup>-2xy+xy-y2<\/sup>)
=———————————————
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x2<\/sup>-y2<\/sup>)(4x2<\/sup>-y2<\/sup>)
\u00a0\u00a03y(2x2<\/sup>+xy-y2<\/sup>)-3y(2x2<\/sup>-xy-y2<\/sup>)
=———————————
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x2<\/sup>-y2<\/sup>)(4x2<\/sup>-y2<\/sup>)
\u00a0\u00a0\u00a06x2<\/sup>y+3xy2<\/sup>-3y3<\/sup>-6x2<\/sup>y+3xy2<\/sup>+3y3<\/sup>
=————————————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x2<\/sup>-y2<\/sup>)(4x2<\/sup>-y2<\/sup>)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a06xy2<\/sup>
=———————
\u00a0\u00a0\u00a0\u00a0(x2<\/sup>-y2<\/sup>)(4x2<\/sup>-y2<\/sup>)
(\u099a)<\/strong>
\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x-2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a06x<\/strong>
—– – ————- + ———<\/strong>
x-2\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>+2x+4\u00a0\u00a0\u00a0\u00a0\u00a0x3<\/sup>+8<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x-2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a06x
—– – ———– + ———
x-2\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>+2x+4\u00a0 \u00a0 \u00a0\u00a0x3<\/sup>+8
\u00a0\u00a0\u00a0x2<\/sup>+2x+4-(x-2)(x-2)\u00a0 \u00a0 \u00a06x
=———————-\u00a0 + ——–
\u00a0\u00a0\u00a0\u00a0\u00a0(x-2)(x2<\/sup>+2x+4)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x3<\/sup>+8
\u00a0\u00a0\u00a0x2<\/sup>+2x+4-(x2<\/sup>-4x+22<\/sup>)\u00a0 \u00a0\u00a06x
=———————-\u00a0 \u00a0+\u00a0 ——–
\u00a0\u00a0\u00a0\u00a0\u00a0(x-2)(x2<\/sup>+2x+4)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x3<\/sup>+8
\u00a0\u00a0\u00a0x2<\/sup>+2x+4-x2<\/sup>+4x-4\u00a0 \u00a0 \u00a0\u00a06x
=———————- + ——–
\u00a0\u00a0\u00a0\u00a0\u00a0(x-2)(x2<\/sup>+2x+4)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x3<\/sup>+8
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a06x\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a06x
=——————– + ——–
\u00a0\u00a0\u00a0\u00a0\u00a0(x-2)(x2<\/sup>+2x+4)\u00a0\u00a0\u00a0\u00a0x3<\/sup>+8
[(x-2)(x2<\/sup>+2x+4)=x3<\/sup>+2x2<\/sup>+4x-2x2<\/sup>-4x-8=x3<\/sup>-8]
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a06x\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a06x
=——— + ——–
\u00a0\u00a0\u00a0\u00a0\u00a0x3<\/sup>-8\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x3<\/sup>+8
\u00a0\u00a0\u00a06x(x3<\/sup>+8)+6x(x3<\/sup>-8)
=———————
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x3<\/sup>-8)(x3<\/sup>+8)
\u00a0\u00a06x4<\/sup>+48x+6x4<\/sup>-48x
=——————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x3<\/sup>)2<\/sup>-(8)2<\/sup>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a012x4<\/sup>
=———-
\u00a0\u00a0\u00a0\u00a0(x6<\/sup>-64)
(\u099b)<\/strong>
\u00a01\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a01\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a02\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04<\/strong>
—–\u00a0 –\u00a0 —–\u00a0 –\u00a0 —— + ———<\/strong>
x-1\u00a0 \u00a0 \u00a0\u00a0x+1\u00a0 \u00a0 \u00a0\u00a0x2<\/sup>+1\u00a0\u00a0\u00a0\u00a0\u00a0x4<\/sup>+1<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u00a0\u00a01\u00a0 \u00a0 \u00a0 \u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04
—– –\u00a0 —– –\u00a0 —— + ———
x-1\u00a0\u00a0\u00a0\u00a0\u00a0x+1\u00a0 \u00a0\u00a0x2<\/sup>+1\u00a0 \u00a0\u00a0x4<\/sup>+1
\u00a0\u00a0\u00a0\u00a0x+1-(x-1)\u00a0 \u00a0 \u00a02\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04
=————- – ——- + ——-
\u00a0\u00a0\u00a0(x-1)(x+1)\u00a0\u00a0\u00a0x2<\/sup>+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x4<\/sup>+1
\u00a0\u00a0\u00a0\u00a0x+1-x+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04
=————- – ——- + ——-
\u00a0 \u00a0(x-1)(x+1)\u00a0 \u00a0x2<\/sup>+1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x4<\/sup>+1
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04
=——– – ——- + ——-
\u00a0\u00a0\u00a0\u00a0\u00a0x2<\/sup>-1\u00a0 \u00a0 \u00a0x2<\/sup>+1\u00a0\u00a0\u00a0\u00a0\u00a0x4<\/sup>+1
\u00a0\u00a0\u00a02(x2<\/sup>+1)-2(x2<\/sup>-1)\u00a0\u00a0\u00a0\u00a0\u00a04
=—————— + ——–
\u00a0\u00a0\u00a0\u00a0(x2<\/sup>-1)(x2<\/sup>+1)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x4<\/sup>+1
\u00a0\u00a0\u00a0\u00a02x2<\/sup>+2-2x2<\/sup>+2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04
=—————— + ——–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x2<\/sup>-1)(x2<\/sup>+1)\u00a0\u00a0\u00a0\u00a0x4<\/sup>+1
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a04
=——– + ——–
\u00a0 \u00a0\u00a0x4<\/sup>-1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x4<\/sup>+1
\u00a0\u00a0\u00a04(x4<\/sup>+1)+4 (x4<\/sup>-1)
=——————-
\u00a0\u00a0\u00a0\u00a0\u00a0(x4<\/sup>-1)( x4<\/sup>+1)
\u00a0\u00a0\u00a0\u00a04x4<\/sup>+4+4x4<\/sup>-4
=——————-
\u00a0\u00a0\u00a0\u00a0\u00a0(x4<\/sup>-1)( x4<\/sup>+1)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a08x4<\/sup>
=———–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x8<\/sup>-1)
(\u099c)<\/strong>
\u00a0\u00a0\u00a0\u00a0x-y\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0y-z\u00a0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0z-x<\/strong>
———– +\u00a0 ———- +\u00a0 ———-<\/strong>
(y-z)(z-x)\u00a0\u00a0\u00a0(z-x)(x-y)\u00a0\u00a0(x-y)(x-z)<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u00a0\u00a0\u00a0\u00a0x-y\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0y-z\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0z-x
———– + ———- + ———–
(y-z)(z-x)\u00a0\u00a0\u00a0(z-x)(x-y)\u00a0\u00a0(x-y)(x-z)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0x-y\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0y-z\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0z-x
=———– + ———- + ———–
\u00a0\u00a0\u00a0(y-z)(z-x)\u00a0\u00a0(z-x)(x-y) (x-y)(z-x)
\u00a0\u00a0\u00a0(x-y)2<\/sup>+(y-z)2<\/sup>-(z-x)(y-z)
=—————————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-y)(y-z)(z-x)
\u00a0 x2<\/sup>-2xy+y2<\/sup>+y2<\/sup>-2yz+z2<\/sup>-(zy-z2<\/sup>-xy+zx)
=——————————————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-y)(y-z)(z-x)
\u00a0\u00a0x2<\/sup>-2xy+y2<\/sup>+y2<\/sup>-2yz+z2<\/sup>-zy+z2<\/sup>+xy-zx
=—————————————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-y)(y-z)(z-x)
\u00a0\u00a0\u00a0x2<\/sup>-xy+2y2<\/sup>-3yz+2z2<\/sup>+xy-zx
=——————————–
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(x-y)(y-z)(z-x)
(\u099d)<\/strong>
\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a<\/strong>
—— + ——- + ——————<\/strong>
a-b-c\u00a0\u00a0\u00a0a-b+c\u00a0\u00a0\u00a0a2<\/sup>+b2<\/sup>-c2<\/sup>-2ab<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u098f\u0996\u09be\u09a8\u09c7,
a2<\/sup>+b2<\/sup>-c2<\/sup>-2ab
=(a-b)2<\/sup>-c2<\/sup>
=(a-b-c)(a-b+c)
\u09a4\u09be\u09b9\u09b2\u09c7,
\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a
——+——-+——————–
a-b-c\u00a0\u00a0\u00a0a-b+c\u00a0\u00a0\u00a0a2<\/sup>+b2<\/sup>-c2<\/sup>-2ab
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0a
=——+——-+——————-
\u00a0\u00a0\u00a0a-b-c\u00a0\u00a0\u00a0a-b+c\u00a0\u00a0(a-b-c)(a-b+c)
\u00a0\u00a0\u00a0a-b+c+ a-b-c+a\u00a0\u00a0\u00a0\u00a0
=——————-
\u00a0\u00a0\u00a0\u00a0(a-b-c)(a-b+c)\u00a0
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a03a-2b
=—————-
\u00a0\u00a0\u00a0\u00a0a2<\/sup>+b2<\/sup>-c2<\/sup>-2ab
(\u099e)<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 \u00a0 \u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01<\/strong>
—————-+———————<\/strong>
a2<\/sup>+b2<\/sup>-c2<\/sup>+2ab\u00a0\u00a0b2<\/sup>+c2<\/sup>-a2<\/sup>+2bc<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0+——————-<\/strong>
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0c2<\/sup>+a2<\/sup>-b2<\/sup>+2ca<\/strong>
\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong>
\u098f\u0996\u09be\u09a8\u09c7,
a2<\/sup>+b2<\/sup>-c2<\/sup>+2ab=(a+b)2<\/sup>-c2<\/sup>=(a+b+c)(a+b-c)\u00a0\u00a0\u00a0\u00a0\u00a0
b2<\/sup>+c2<\/sup>-a2<\/sup>+2bc=(b+c)2<\/sup>-a2<\/sup>=(a+b+c)(b+c-a)
c2<\/sup>+a2<\/sup>-b2<\/sup>+2ca=(c+a)2<\/sup>-b2<\/sup>=(a+b+c)(c+a-b)
\u2234
\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a01\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a01
—————-+———————
a2<\/sup>+b2<\/sup>-c2<\/sup>+2ab\u00a0\u00a0b2<\/sup>+c2<\/sup>-a2<\/sup>+2bc
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0+——————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0c2<\/sup>+a2<\/sup>-b2<\/sup>+2ca
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01
=——————+———————
\u00a0\u00a0\u00a0(a+b+c)(a+b-c)\u00a0\u00a0(a+b+c)(b+c-a)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0+———————-
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(a+b+c)(c+a-b)
\u00a0\u00a0(b+c-a)(c+a-b)+(a+b-c)(c+a-b)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0+(a+b-c)(b+c-a)
=—————————————
\u00a0\u00a0\u00a0(a+b+c)(a+b-c)(b+c-a)(c+a-b)
\u00a0\u00a0\u00a0ab-ca-a2<\/sup>-b2<\/sup>-bc+ab+bc+c2<\/sup>-ca+a2<\/sup>
\u00a0\u00a0\u00a0+ab+ca-ab-b2<\/sup>+bc+ca+bc-c2<\/sup>+bc
\u00a0\u00a0\u00a0+ca-a2<\/sup>+b2<\/sup>+bc-ab-bc-c2<\/sup>+ca
=—————————————
\u00a0\u00a0\u00a0\u00a0(a+b+c)(a+b-c)(b+c-a)(c+a-b)
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02ab+2bc+2ca-a2<\/sup>-b2<\/sup>-c2<\/sup>
=————————————–
\u00a0\u00a0\u00a0\u00a0(a+b+c)(a+b-c)(b+c-a)(c+a-b)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
\n\n\n\n

\u09b8\u09ae\u09be\u09a7\u09be\u09a8 – PDF<\/span><\/strong><\/p>\n\n\n\n