{"id":4527,"date":"2022-09-24T20:49:55","date_gmt":"2022-09-24T20:49:55","guid":{"rendered":"https:\/\/www.studyzonebd.com\/math\/?p=4527"},"modified":"2022-09-24T23:58:59","modified_gmt":"2022-09-24T23:58:59","slug":"class-7-chapter-5-lesson-5-4","status":"publish","type":"post","link":"https:\/\/www.studyzonebd.com\/math\/class-7-chapter-5-lesson-5-4\/","title":{"rendered":"\u09eb\u09ae \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b8\u09c2\u09a4\u09cd\u09b0\u09be\u09ac\u09b2\u09bf \u0993 \u09aa\u09cd\u09b0\u09df\u09cb\u0997 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09eb.\u09ea | \u09b8\u09aa\u09cd\u09a4\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u09eb\u09ae \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b8\u09c2\u09a4\u09cd\u09b0\u09be\u09ac\u09b2\u09bf \u0993 \u09aa\u09cd\u09b0\u09df\u09cb\u0997 | \u09ed\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 Seven (07) <a href=\"https:\/\/en.wikipedia.org\/wiki\/Mathematics\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">Math <\/a>Book Solution | <a href=\"https:\/\/www.studyzonebd.com\/math\">Chapter <\/a>05 : Algebraic formulas and applications<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u09eb\u09ae \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b8\u09c2\u09a4\u09cd\u09b0\u09be\u09ac\u09b2\u09bf \u0993 \u09aa\u09cd\u09b0\u09df\u09cb\u0997 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09eb.\u09ea: \u0997.\u09b8\u09be.\u0997\u09c1 \u0993 \u09b2.\u09b8\u09be.\u0997\u09c1<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u09eb\u09ae \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b8\u09c2\u09a4\u09cd\u09b0\u09be\u09ac\u09b2\u09bf \u0993 \u09aa\u09cd\u09b0\u09df\u09cb\u0997 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09eb.\u09ea \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 \u09ed\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<h4 class=\"has-text-align-center has-vivid-red-color has-text-color wp-block-heading\"><span style=\"text-decoration: underline;\">\u09ed\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.\u09ea \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8 \u0993 \u09b8\u09ae\u09be\u09a7\u09be\u09a8<\/span><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e7. a-5 \u098f\u09b0 \u09ac\u09b0\u09cd\u0997 \u0995\u09cb\u09a8\u099f\u09bf?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0995) a<sup>2<\/sup>+10a+25&nbsp;&nbsp;(\u0996) a<sup>2<\/sup>-10a+25&nbsp;&nbsp;(\u0997) a<sup>2<\/sup>+5a+25&nbsp;&nbsp;(\u0998) a<sup>2<\/sup>-5a+25<br>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u0996<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e8. (x+y)<sup>2<\/sup>+2(x+y)(x-y)+(x-y)<sup>2&nbsp;<\/sup>\u098f\u09b0 \u09ae\u09be\u09a8 \u0995\u09cb\u09a8\u099f\u09bf?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0995) 8x<sup>2<\/sup>&nbsp;&nbsp;&nbsp;(\u0996) 8y<sup>2<\/sup>&nbsp;&nbsp;&nbsp;&nbsp;(\u0997) 4x<sup>2<\/sup>&nbsp;&nbsp;&nbsp;(\u0998) 4y<sup>2<br><\/sup>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u0997<a><\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e9. a+b=4 \u098f\u09ac\u0982 a-b=2 \u09b9\u09b2\u09c7, ab \u098f\u09b0 \u09ae\u09be\u09a8 \u0995\u09a4?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0995) 3&nbsp;&nbsp;&nbsp;(\u0996) 8&nbsp;&nbsp;&nbsp;(\u0997) 12&nbsp;&nbsp;&nbsp;(\u0998) 16<br>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u0995<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09ea. \u098f\u0995\u099f\u09bf \u09b0\u09be\u09b6\u09bf \u0985\u09aa\u09b0 \u098f\u0995\u099f\u09bf \u09b0\u09be\u09b6\u09bf \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09a8\u09bf\u0983\u09b6\u09c7\u09b7\u09c7 \u09ac\u09bf\u09ad\u09be\u099c\u09cd\u09af \u09b9\u09b2\u09c7, \u09ad\u09be\u099c\u09cd\u09af\u0995\u09c7 \u09ad\u09be\u099c\u0995\u09c7\u09b0 \u0995\u09c0 \u09ac\u09b2\u09c7?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0995) \u09ad\u09be\u0997\u09ab\u09b2&nbsp;&nbsp;&nbsp;(\u0996) \u09ad\u09be\u0997\u09b6\u09c7\u09b7&nbsp;&nbsp;&nbsp;&nbsp;(\u0997) \u0997\u09c1\u09a3\u09bf\u09a4\u0995&nbsp;&nbsp;&nbsp;&nbsp;(\u0998) \u0997\u09c1\u09a3\u09a8\u09c0\u09af\u09bc\u0995<br>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u0997<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09eb. a, a<sup>2<\/sup>, a(a+b) \u098f\u09b0 \u09b2\u0998\u09bf\u09b7\u09cd\u09a0 \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09c1\u09a3\u09bf\u09a4\u0995 \u0995\u09cb\u09a8\u099f\u09bf?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0995) a&nbsp;&nbsp;&nbsp;(\u0996) a<sup>2<\/sup>&nbsp;&nbsp;&nbsp;&nbsp;(\u0997) a(a+b)&nbsp;&nbsp;&nbsp;&nbsp;(\u0998) a<sup>2<\/sup>(a+b)<br>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u0998<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09ec. 2a \u0993 3b \u098f\u09b0 \u0997\u09b8\u09be\u0997\u09c1 \u0995\u09a4?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0995) 1&nbsp;&nbsp;&nbsp;&nbsp;(\u0996) 6&nbsp;&nbsp;&nbsp;&nbsp;(\u0997) a&nbsp;&nbsp;&nbsp;&nbsp;(\u0998) b<br>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u0995<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>a, b \u09ac\u09be\u09b8\u09cd\u09a4\u09ac \u09b8\u0982\u0996\u09cd\u09af\u09be \u09b9\u09b2\u09c7-<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09ed. (i).. (a+b)<sup>2<\/sup>=a<sup>2<\/sup>+2ab+b<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(ii).. 4ab=(a+b)<sup>2<\/sup>+(a-b)<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(iii).. a<sup>2<\/sup>-b<sup>2<\/sup>=(a+b)(a-b)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0995\u09cb\u09a8\u099f\u09bf \u09b8\u09a0\u09bf\u0995?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0995) i \u0993 ii&nbsp;&nbsp;&nbsp;&nbsp;(\u0996) i \u0993 iii<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0997) ii \u0993 iii&nbsp;&nbsp;&nbsp;(\u0998) i, ii \u0993 iii<br>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u0996<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>(x<sup>3<\/sup>y-xy<sup>3<\/sup>) \u0993 (x-y)(x+2y) \u09a6\u09c1\u0987\u099f\u09bf \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09af\u09bc \u09b0\u09be\u09b6\u09bf\u0964<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0989\u09aa\u09b0\u09c7\u09b0 \u09a4\u09a5\u09cd\u09af\u09c7\u09b0 \u0986\u09b2\u09cb\u0995\u09c7 \u09ee-\u09e7\u09e6 \u09a8\u0982 \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8\u09c7\u09b0 \u0989\u09a4\u09cd\u09a4\u09b0 \u09a6\u09be\u0993\u0964<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09ee. \u09aa\u09cd\u09b0\u09a5\u09ae \u09b0\u09be\u09b6\u09bf\u09b0 \u0989\u09ce\u09aa\u09be\u09a6\u0995\u09c7 \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09c0\u09a4 \u09b0\u09c2\u09aa \u09a8\u09bf\u099a\u09c7\u09b0 \u0995\u09cb\u09a8\u099f\u09bf?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0995) (x+y)(x-y)&nbsp;&nbsp;&nbsp;&nbsp;(\u0996) x(x+y)(x-y)<br>(\u0997) y(x+y)(x-y)&nbsp;&nbsp;&nbsp;(\u0998) xy(x+y)(x-y)<br>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u0998<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09ef. \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09af\u09bc \u09b0\u09be\u09b6\u09bf \u09a6\u09c1\u0987\u099f\u09bf\u09b0 \u0997\u09b8\u09be\u0997\u09c1 \u09a8\u09bf\u099a\u09c7\u09b0 \u0995\u09cb\u09a8\u099f\u09bf?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0995) (x+y)&nbsp;&nbsp;&nbsp;&nbsp;(\u0996) (x-y)&nbsp;<br>(\u0997) y(x+y)&nbsp;&nbsp;&nbsp;(\u0998) x(x-y)<br>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u0996<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e7\u09e6. \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09af\u09bc \u09b0\u09be\u09b6\u09bf \u09a6\u09c1\u0987\u099f\u09bf\u09b0\u09b0 \u09b2\u09b8\u09be\u0997\u09c1 \u09a8\u09bf\u099a\u09c7\u09b0 \u0995\u09cb\u09a8\u099f\u09bf?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0995) x(x+y)(x-y)&nbsp;&nbsp;&nbsp;(\u0996) y(x+y)(x-y)<br>(\u0997) xy(x<sup>2<\/sup>-y<sup>2<\/sup>)(x+2y)&nbsp;&nbsp;&nbsp;(\u0998) xy(x+y)(x+2y)<br>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u0997<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e7\u09e7. 9x<sup>2<\/sup>-25y<sup>2<\/sup>&nbsp;\u098f\u09ac\u0982 15ax-25ay \u098f\u09b0 \u09b2\u09b8\u09be\u0997\u09c1 \u0995\u09a4?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0995) (3x+5y)&nbsp;&nbsp;&nbsp;(\u0996) (3x-5y)<br>(\u0997) (9x<sup>2<\/sup>-25y<sup>2<\/sup>)&nbsp;&nbsp;&nbsp;(\u0998) 5a(9x<sup>2<\/sup>-25y<sup>2<\/sup>)<br>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u0998<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e7\u09e8. x<sup>3<\/sup>y<sup>5<\/sup>&nbsp;\u0993 a<sup>2<\/sup>-b<sup>2<\/sup>&nbsp;\u098f\u09b0 \u0997\u09b8\u09be\u0997\u09c1 \u0995\u09a4?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0995) x<sup>3<\/sup>y<sup>5<\/sup>&nbsp;&nbsp;&nbsp;(\u0996) x<sup>2<\/sup>a<sup>2<br><\/sup>(\u0997) xy<sup>4<\/sup>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(\u0998) 1<br>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u0998<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e7\u09e9. x-1\/x=0 \u09b9\u09b2\u09c7,<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>&nbsp;&nbsp;(i).. x=1<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>&nbsp;&nbsp;(ii).. x=-1<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>&nbsp;&nbsp;(iii).. x=&nbsp;<\/strong><strong>\u00b11<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09a8\u09bf\u099a\u09c7\u09b0 \u0995\u09cb\u09a8\u099f\u09bf \u09b8\u09a0\u09bf\u0995?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0995) i \u0993 ii&nbsp;&nbsp;&nbsp;&nbsp;(\u0996) i \u0993 iii<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0997) ii \u0993 iii&nbsp;&nbsp;&nbsp;(\u0998) i, ii \u0993 iii<br>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u0998<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e7\u09ea. a+1\/a=4 \u09b9\u09b2\u09c7 a<sup>2<\/sup>-4a+1 \u098f\u09b0 \u09ae\u09be\u09a8 \u0995\u09a4?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0995) 4&nbsp;&nbsp;&nbsp;(\u0996) 3&nbsp;&nbsp;&nbsp;&nbsp;(\u0997) 2&nbsp;&nbsp;&nbsp;&nbsp;(\u0998) 0<br>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u0998<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e7\u09eb. a+5 \u098f\u09b0 \u09ac\u09b0\u09cd\u0997 \u0995\u09cb\u09a8\u099f\u09bf?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0995) a<sup>2<\/sup>+10a+5&nbsp;&nbsp;&nbsp;&nbsp;(\u0996) a<sup>2<\/sup>-10a+25<br>(\u0997) a<sup>2<\/sup>+5a+25&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(\u0998) a<sup>2<\/sup>+10a-25<br>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u0996<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e7\u09ec. a+b=8, a-b=4 \u09b9\u09b2\u09c7 ab= \u0995\u09a4?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0995) 8&nbsp;&nbsp;&nbsp;&nbsp;(\u0996) 10&nbsp;&nbsp;&nbsp;&nbsp;(\u0997) 12&nbsp;&nbsp;&nbsp;&nbsp;(\u0998) 18<br>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u0997<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-medium-font-size wp-block-paragraph\"><strong>\u0997\u09b8\u09be\u0997\u09c1 \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0 (\u09e7\u09ed-\u09e8\u09ec):<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e7\u09ed. 3a<sup>2<\/sup>b<sup>2<\/sup>c<sup>2<\/sup>, 6ab<sup>2<\/sup>c<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf=3a<sup>2<\/sup>b<sup>2<\/sup>c<sup>2<\/sup>=3\u2715a\u2715a\u2715a\u2715b\u2715b\u2715c<br>\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf=6ab<sup>2<\/sup>c<sup>2<\/sup>=2\u27153\u2715a\u2715b\u2715b\u2715c\u2715c<br>\u098f\u0996\u09be\u09a8\u09c7, \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09c1\u09a3\u09a8\u09c0\u09af\u09bc\u0995\u0997\u09c1\u09b2\u09cb \u09b9\u09b2\u09cb\u0983&nbsp;&nbsp;3,a,b,b,c<br>\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u0997\u09b8\u09be\u0997\u09c1=3\u2715a\u2715b\u2715b\u2715c=3ab<sup>2<\/sup>c<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e7\u09ee. 5ab<sup>2<\/sup>x<sup>2<\/sup>, 10a<sup>2<\/sup>by<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf=5ab<sup>2<\/sup>x<sup>2<\/sup>=5\u2715a\u2715b\u2715b\u2715x\u2715x<br>\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf=10a<sup>2<\/sup>by<sup>2<\/sup>=2\u27155\u2715a\u2715a\u2715b\u2715y\u2715y<br>\u098f\u0996\u09be\u09a8\u09c7, \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09c1\u09a3\u09a8\u09c0\u09af\u09bc\u0995\u0997\u09c1\u09b2\u09cb \u09b9\u09b2\u09cb\u0983&nbsp;&nbsp;5,a,b<br>\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u0997\u09b8\u09be\u0997\u09c1=5\u2715a\u2715b=5ab<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e7\u09ef. 3a<sup>2<\/sup>x<sup>2<\/sup>, 6axy<sup>2<\/sup>, 9ay<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf=3a<sup>2<\/sup>x<sup>2<\/sup>=3\u2715a\u2715a\u2715x\u2715x<br>\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf=6axy<sup>2<\/sup>=2\u27153\u2715a\u2715x\u2715y\u2715y<br>\u09e9\u09af\u09bc \u09b0\u09be\u09b6\u09bf=9ay<sup>2<\/sup>=3\u27153\u2715a\u2715y\u2715y<br>\u098f\u0996\u09be\u09a8\u09c7, \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09c1\u09a3\u09a8\u09c0\u09af\u09bc\u0995\u0997\u09c1\u09b2\u09cb \u09b9\u09b2\u09cb\u0983 3,a<br>\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u0997\u09b8\u09be\u0997\u09c1=3\u2715a=3a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e8\u09e6. 16a<sup>3<\/sup>x<sup>4<\/sup>y, 40a<sup>2<\/sup>y<sup>2<\/sup>x, 28ax<sup>3<\/sup><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf=16a<sup>3<\/sup>x<sup>4<\/sup>y =2\u27152\u27152\u27152\u2715a\u2715a\u2715a\u2715x\u2715x\u2715x\u2715x\u2715y<br>\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf=40a<sup>2<\/sup>y<sup>2<\/sup>x =2\u27152\u27152\u27155\u2715a\u2715a\u2715y\u2715y\u2715x<br>\u09e9\u09af\u09bc \u09b0\u09be\u09b6\u09bf=28ax<sup>3<\/sup>=2\u27152\u27157\u2715a\u2715x\u2715x\u2715x<br>\u098f\u0996\u09be\u09a8\u09c7, \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09c1\u09a3\u09a8\u09c0\u09af\u09bc\u0995\u0997\u09c1\u09b2\u09cb \u09b9\u09b2\u09cb\u0983 2,2,a,x<br>\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u0997\u09b8\u09be\u0997\u09c1=2\u27152\u2715a\u2715x=4ax<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e8\u09e7. a<sup>2<\/sup>+ab, a<sup>2<\/sup>-b<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf= a<sup>2<\/sup>+ab=a(a+b)<br>\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf= a<sup>2<\/sup>-b<sup>2<\/sup>=(a-b)(a+b)<br>\u098f\u0996\u09be\u09a8\u09c7, \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09ae\u09cc\u09b2\u09bf\u0995 \u0989\u09ce\u09aa\u09be\u09a6\u0995 \u09b9\u09b2\u09cb\u0983 (a+b)<br>\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u0997\u09b8\u09be\u0997\u09c1=(a+b)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e8\u09e8. x<sup>3<\/sup>y-xy<sup>3<\/sup>, (x-y)<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf=x<sup>3<\/sup>y-xy<sup>3<\/sup>=xy(x<sup>2<\/sup>-y<sup>2<\/sup>)=xy(x+y)(x-y)<br>\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf=(x-y)<sup>2<\/sup>=(x-y)(x-y)<br>\u098f\u0996\u09be\u09a8\u09c7, \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09ae\u09cc\u09b2\u09bf\u0995 \u0989\u09ce\u09aa\u09be\u09a6\u0995 \u09b9\u09b2\u09cb\u0983 (x-y)<br>\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u0997\u09b8\u09be\u0997\u09c1= x-y<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e8\u09e9. x<sup>2<\/sup>+7x+12, x<sup>2<\/sup>+9x+20<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x<sup>2<\/sup>+7x+12<br>=x<sup>2<\/sup>+3x+4x+12<br>=x(x+3)+4(x+3)<br>=(x+3)(x+4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x<sup>2<\/sup>+9x+20<br>=x<sup>2<\/sup>+4x+5x+20<br>=x(x+4)+5(x+4)<br>=(x+5)(x+4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u098f\u0996\u09be\u09a8\u09c7, \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09ae\u09cc\u09b2\u09bf\u0995 \u0989\u09ce\u09aa\u09be\u09a6\u0995 \u09b9\u09b2\u09cb\u0983 (x+4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u0997\u09b8\u09be\u0997\u09c1= (x+4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e8\u09ea. a<sup>3<\/sup>-ab<sup>2<\/sup>, a<sup>4<\/sup>+2a<sup>3<\/sup>b+a<sup>2<\/sup>b<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= a<sup>3<\/sup>-ab<sup>2<br><\/sup>=a(a<sup>2<\/sup>-b<sup>2<\/sup>)<br>=a(a+b)(a-b)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= a<sup>4<\/sup>+2a<sup>3<\/sup>b+a<sup>2<\/sup>b<sup>2<br><\/sup>=a<sup>2<\/sup>(a<sup>2<\/sup>+2ab+b<sup>2<\/sup>)<br>=a<sup>2<\/sup>(a+b)<sup>2<br><\/sup>=a\u2715a(a+b)(a+b)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u098f\u0996\u09be\u09a8\u09c7, \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09ae\u09cc\u09b2\u09bf\u0995 \u0989\u09ce\u09aa\u09be\u09a6\u0995 \u09b9\u09b2\u09cb\u0983 a(a+b)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u0997\u09b8\u09be\u0997\u09c1=a(a+b)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e8\u09eb. a<sup>2<\/sup>-16, 3a+12, a<sup>2<\/sup>+5a+4<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= a<sup>2<\/sup>-16<br>=a<sup>2<\/sup>-4<sup>2<br><\/sup>=(a-4)(a+4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">=3a+12<br>=3(a+4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e9\u09af\u09bc \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= a<sup>2<\/sup>+5a+4<br>=a<sup>2<\/sup>+a+4a+4<br>=a(a+1)+4(a+1)<br>=(a+1)(a+4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u098f\u0996\u09be\u09a8\u09c7, \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09ae\u09cc\u09b2\u09bf\u0995 \u0989\u09ce\u09aa\u09be\u09a6\u0995 \u09b9\u09b2\u09cb\u0983 (a+4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u0997\u09b8\u09be\u0997\u09c1=(a+4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e8\u09ec. xy-y, x<sup>3<\/sup>y-xy, x<sup>2<\/sup>-2x+1<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf= xy-y=y(x-1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x<sup>3<\/sup>y-xy<br>=xy(x<sup>2<\/sup>-1)<br>=xy(x+1)(x-1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e9\u09af\u09bc \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x<sup>2<\/sup>-2x+1<br>= x<sup>2<\/sup>-2\u2715x\u27151+1<sup>2<br><\/sup>=(x-1)<sup>2<br><\/sup>=(x-1)(x-1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u098f\u0996\u09be\u09a8\u09c7, \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09ae\u09cc\u09b2\u09bf\u0995 \u0989\u09ce\u09aa\u09be\u09a6\u0995 \u09b9\u09b2\u09cb\u0983 (x-1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u0997\u09b8\u09be\u0997\u09c1=(x-1)<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-medium-font-size wp-block-paragraph\"><strong>\u09b2\u09b8\u09be\u0997\u09c1 \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0 (\u09e8\u09ed-\u09e9\u09ec):<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e8\u09ed. 6a<sup>3<\/sup>b<sup>2<\/sup>c, 9a<sup>4<\/sup>bd<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b0\u09be\u09b6\u09bf\u0997\u09c1\u09b2\u09cb\u09b0 \u09b8\u09be\u0982\u0996\u09cd\u09af\u09bf\u0995 \u09b8\u09b9\u0997 6 \u0993 9 \u098f\u09b0 \u09b2\u09b8\u09be\u0997\u09c1 18<br>\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09b0\u09be\u09b6\u09bf\u0997\u09c1\u09b2\u09cb\u09b0 \u0985\u09a8\u09cd\u09a4\u09b0\u09cd\u09ad\u09c1\u0995\u09cd\u09a4 a, b, c, d \u0989\u09ce\u09aa\u09be\u09a6\u0995\u0997\u09c1\u09b2\u09cb\u09b0 \u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a \u0998\u09be\u09a4 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 a<sup>4<\/sup>, b<sup>2<\/sup>, c, d<sup>2<br><\/sup>\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u09b2\u09b8\u09be\u0997\u09c1=18 a<sup>4<\/sup>b<sup>2<\/sup>cd<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e8\u09ee. 5x<sup>2<\/sup>y<sup>2<\/sup>, 10xz<sup>3<\/sup>, 15y<sup>3<\/sup>z<sup>4<\/sup><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b0\u09be\u09b6\u09bf\u0997\u09c1\u09b2\u09cb\u09b0 \u09b8\u09be\u0982\u0996\u09cd\u09af\u09bf\u0995 \u09b8\u09b9\u0997 5, 10 \u0993 15 \u098f\u09b0 \u09b2\u09b8\u09be\u0997\u09c1 30<br>\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09b0\u09be\u09b6\u09bf\u0997\u09c1\u09b2\u09cb\u09b0 \u0985\u09a8\u09cd\u09a4\u09b0\u09cd\u09ad\u09c1\u0995\u09cd\u09a4 x,y,z \u0989\u09ce\u09aa\u09be\u09a6\u0995\u0997\u09c1\u09b2\u09cb\u09b0 \u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a \u0998\u09be\u09a4 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 x<sup>2<\/sup>, y<sup>3<\/sup>, z<sup>4<br><\/sup>\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u09b2\u09b8\u09be\u0997\u09c1=30 x<sup>2<\/sup>y<sup>3<\/sup>z<sup>4<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e8\u09ef. 2p<sup>2<\/sup>xy<sup>2<\/sup>, 3pq<sup>2<\/sup>, 6pqx<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b0\u09be\u09b6\u09bf\u0997\u09c1\u09b2\u09cb\u09b0 \u09b8\u09be\u0982\u0996\u09cd\u09af\u09bf\u0995 \u09b8\u09b9\u0997 2, 3 \u0993 6 \u098f\u09b0 \u09b2\u09b8\u09be\u0997\u09c1 6<br>\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09b0\u09be\u09b6\u09bf\u0997\u09c1\u09b2\u09cb\u09b0 \u0985\u09a8\u09cd\u09a4\u09b0\u09cd\u09ad\u09c1\u0995\u09cd\u09a4 p, q, x, y \u0989\u09ce\u09aa\u09be\u09a6\u0995\u0997\u09c1\u09b2\u09cb\u09b0 \u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a \u0998\u09be\u09a4 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 p<sup>2<\/sup>, q<sup>2<\/sup>, x<sup>2<\/sup>, y<sup>2<br><\/sup>\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u09b2\u09b8\u09be\u0997\u09c1=6 p<sup>2<\/sup>q<sup>2<\/sup>&nbsp;x<sup>2<\/sup>&nbsp;y<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e9\u09e6. (b<sup>2<\/sup>-c<sup>2<\/sup>), (b+c)<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf=(b<sup>2<\/sup>-c<sup>2<\/sup>)=(b+c)(b-c)<br>\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf=(b+c)<sup>2<\/sup>=(b+c)<br>\u098f\u0996\u09be\u09a8\u09c7, (b+c) \u09b0\u09be\u09b6\u09bf\u09b0 \u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a \u0998\u09be\u09a4 (b+c)<sup>2<br><\/sup>\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u09b2\u09b8\u09be\u0997\u09c1=(b-c)(b+c)<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e9\u09e7. x<sup>2<\/sup>+2x, x<sup>2<\/sup>+3x+2<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf= x<sup>2<\/sup>+2x=x(x+2)<br>\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf<br>= x<sup>2<\/sup>+3x+2<br>= x<sup>2<\/sup>+x+2x+2<br>=x(x+1)+2(x+1)<br>=(x+1)(x+2)<br>\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09b0\u09be\u09b6\u09bf\u0997\u09c1\u09b2\u09cb\u09b0 \u0985\u09a8\u09cd\u09a4\u09b0\u09cd\u09ad\u09c1\u0995\u09cd\u09a4 \u0989\u09ce\u09aa\u09be\u09a6\u0995\u0997\u09c1\u09b2\u09cb\u09b0 \u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a \u0998\u09be\u09a4 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 x, (x+2), (x+1)<br>\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u09b2\u09b8\u09be\u0997\u09c1= x(x+2)(x+1)=x(x<sup>2<\/sup>+3x+2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e9\u09e8. 9x<sup>2<\/sup>-25y<sup>2<\/sup>, 15ax-25ay<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">=9x<sup>2<\/sup>-25y<sup>2<br><\/sup>=(3x)<sup>2<\/sup>-(5y)<sup>2<br><\/sup>=(3x+5y)(3x-5y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">=15ax-25ay<br>=5a(3x-5y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u09b2\u09b8\u09be\u0997\u09c1=5a(3x-5y)(3x+5y)=5a(9x<sup>2<\/sup>-25y<sup>2<\/sup>)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e9\u09e9. x<sup>2<\/sup>-3x-10, x<sup>2<\/sup>-10x+25<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x<sup>2<\/sup>-3x-10<br>= x<sup>2<\/sup>-5x+2x-10<br>=x(x-5)+2(x-5)<br>=(x+20(x-5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x<sup>2<\/sup>-10x+25<br>= x<sup>2<\/sup>-2\u2715x\u27155+5<sup>2<br><\/sup>=(x-5)<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u098f\u0996\u09be\u09a8\u09c7, (x-5) \u09b0\u09be\u09b6\u09bf\u09b0 \u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a \u0998\u09be\u09a4 (x-5)<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u09b2\u09b8\u09be\u0997\u09c1=(x-2)(x-5)<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e9\u09ea. a<sup>2<\/sup>-7a+12, a<sup>2<\/sup>+a-20, a<sup>2<\/sup>+2a-15<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= a<sup>2<\/sup>-7a+12<br>= a<sup>2<\/sup>-3a-4a+12<br>=a(a-3)-4(a-3)<br>=(a-4)(a-3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">=a<sup>2<\/sup>+a-20<br>= a<sup>2<\/sup>+5a-4a-20<br>=a(a+5)-4(a+5)<br>=(a+5)(a-4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e9\u09af\u09bc \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= a<sup>2<\/sup>+2a-15<br>= a<sup>2<\/sup>+5a-3a-15<br>=a(a+5)-3(a+5)<br>=(a+5)(a-3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09b0\u09be\u09b6\u09bf\u0997\u09c1\u09b2\u09cb\u09b0 \u0985\u09a8\u09cd\u09a4\u09b0\u09cd\u09ad\u09c1\u0995\u09cd\u09a4 \u0989\u09ce\u09aa\u09be\u09a6\u0995\u0997\u09c1\u09b2\u09cb\u09b0 \u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a \u0998\u09be\u09a4 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 (a+5), (a-3), (a-2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u09b2\u09b8\u09be\u0997\u09c1=(a+5)(a-3)(a-2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e9\u09eb. x<sup>2<\/sup>-8x+15, x<sup>2<\/sup>-25, x<sup>2<\/sup>+2x-15<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x<sup>2<\/sup>-8x+15<br>= x<sup>2<\/sup>-3x-5x+15<br>=x(x-3)-5(x-3)<br>=(x-5)(x-3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x<sup>2<\/sup>-25<br>= x<sup>2<\/sup>-5<sup>2<br><\/sup>=(x-5)(x+5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e9\u09af\u09bc \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x<sup>2<\/sup>+2x-15<br>= x<sup>2<\/sup>+5x-3x-15<br>=x(x+5)-3(x+5)<br>=(x-3)(x+5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u09b2\u09b8\u09be\u0997\u09c1=(x-3)(x-5)(x+5)=(x-3)(x<sup>2<\/sup>-25)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e9\u09ec. x+5, x<sup>2<\/sup>+5x, x<sup>2<\/sup>+7x+10<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf=x+5<br>\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf= x<sup>2<\/sup>+5x=x(x+5)<br>\u09e9\u09af\u09bc \u09b0\u09be\u09b6\u09bf= x<sup>2<\/sup>+7x+10= x<sup>2<\/sup>+2x+5x+10=x(x+2)+5(x+2)=(x+5)(x+2)<br>\u2234\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09af\u09bc \u09b2\u09b8\u09be\u0997\u09c1=x(x+2)(x+5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e9\u09ed. a=2x-3 \u098f\u09ac\u0982 b=2x+5<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>(\u0995) a+b \u098f\u09b0 \u09ae\u09be\u09a8 \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u0964<br><\/strong><strong>(\u0996) \u09b8\u09c2\u09a4\u09cd\u09b0\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 a<sup>2&nbsp;<\/sup>\u098f\u09b0 \u09ae\u09be\u09a8 \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u0964<br><\/strong><strong>(\u0997) \u09b8\u09c2\u09a4\u09cd\u09b0\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 a \u0993 b \u098f\u09b0 \u0997\u09c2\u09a8\u09ab\u09b2 \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u0964 x=2 \u09b9\u09b2\u09c7 ab=\u0995\u09a4?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0995)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a+b=(2x-3)+(2x+5)=2x-3+2x+5=4x+2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0996)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a<sup>2<\/sup>=(2x-3)<sup>2<\/sup>=(2x)<sup>2<\/sup>-2\u27152x\u27153+(3)<sup>2<\/sup>=4x<sup>2<\/sup>-12x+9<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0997)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">ab<br>=(2x-3)(2x+5)<br>=(2x-3)\u27152x+(2x-3)\u27155<br>=4x<sup>2<\/sup>-6x+10x-15<br>=4x<sup>2<\/sup>+4x-15<br>x=2 \u09b9\u09b2\u09c7,<br>4x<sup>2<\/sup>+4x-15=4\u27152<sup>2<\/sup>+4\u27152-15=16+8-15=9<br>\u2234ab=9<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u09e9\u09ee. x<sup>4<\/sup>-625 \u098f\u09ac\u0982 x<sup>2<\/sup>+3x-10&nbsp;&nbsp;\u09a6\u09c1\u0987\u099f\u09bf \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09af\u09bc \u09b0\u09be\u09b6\u09bf\u0964<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>(\u0995) \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09af\u09bc \u09b0\u09be\u09b6\u09bf\u0995\u09c7 \u0989\u09ce\u09aa\u09be\u09a6\u0995\u09c7 \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09a8 \u0995\u09b0\u0964<br><\/strong><strong>(\u0996) \u09b0\u09be\u09b6\u09bf \u09a6\u09c1\u0987\u099f\u09bf\u09b0 \u0997\u09b8\u09be\u0997\u09c1 \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u0964<br><\/strong><strong>(\u0997) \u09b0\u09be\u09b6\u09bf \u09a6\u09c1\u0987\u099f\u09bf\u09b0 \u09b2\u09b8\u09be\u0997\u09c1 \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u0964<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0995)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x<sup>2<\/sup>+3x-10<br>= x<sup>2<\/sup>+5x-2x-10&nbsp;&nbsp;&nbsp;<br>=x(x+5)-2(x+5)<br>=(x-2)(x+5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0996)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x<sup>4<\/sup>-625<br>=(x<sup>2<\/sup>)<sup>2<\/sup>-(25)<sup>2<br><\/sup>=(x<sup>2<\/sup>-25)(x<sup>2<\/sup>+25)<br>=(x<sup>2<\/sup>-5<sup>2<\/sup>) (x<sup>2<\/sup>+25)<br>=(x-5)(x+5)( (x<sup>2<\/sup>+25)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">=x<sup>2<\/sup>+3x-10<br>= 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class=\"wp-block-paragraph\">(\u0995)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(3x-2y+z) \u098f\u09b0 \u09ac\u09b0\u09cd\u0997<br>=(3x-2y+z)<sup>2<br><\/sup>=(3x-2y)<sup>2<\/sup>+2\u2715(3x-2y)\u2715z+z<sup>2<br><\/sup>=(3x)<sup>2<\/sup>-2\u27153x\u27152y+(2y)<sup>2<\/sup>+2\u27153x\u2715z-2\u27152y\u2715z+z<sup>2<br><\/sup>=9x<sup>2<\/sup>-12xy+4y<sup>2<\/sup>+6xz-4yz+z<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(\u0996)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e7\u09ae \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x<sup>2<\/sup>-3x-10<br>= x<sup>2<\/sup>-5x+2x-10<br>=x(x-5)+2(x-5)<br>=(x+2)(x-5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">=x<sup>3<\/sup>+6x+8x<br>= x<sup>3<\/sup>+4x+2x+8x<br>=x(x+4)+2(x+4)<br>=(x+2)(x+4)<br>\u09e7\u09ae \u0993 \u09e8\u09af\u09bc \u09b0\u09be\u09b6\u09bf\u09b0 \u0997\u09b8\u09be\u0997\u09c1=x+2<\/p>\n\n\n\n<p 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has-alpha-channel-opacity\"\/>\n\n\n\n<pre class=\"wp-block-preformatted\"><em>tags: <\/em>Class 7 Math book solution BD pdf,Math lecture guide for class 7,class 7 math bd pdf,\u0997\u09a3\u09bf\u09a4 \u09b8\u09aa\u09cd\u09a4\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0-\u09eb.\u09ea \u0997.\u09b8\u09be.\u0997\u09c1 \u0993 \u09b2.\u09b8\u09be.\u0997\u09c1<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>\u09eb\u09ae \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b8\u09c2\u09a4\u09cd\u09b0\u09be\u09ac\u09b2\u09bf \u0993 \u09aa\u09cd\u09b0\u09df\u09cb\u0997 | \u09ed\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 Seven (07) Math Book Solution | Chapter 05 : Algebraic formulas and applications \u09eb\u09ae \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b8\u09c2\u09a4\u09cd\u09b0\u09be\u09ac\u09b2\u09bf \u0993 \u09aa\u09cd\u09b0\u09df\u09cb\u0997 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09eb.\u09ea: \u0997.\u09b8\u09be.\u0997\u09c1 \u0993 \u09b2.\u09b8\u09be.\u0997\u09c1 \u09eb\u09ae \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b8\u09c2\u09a4\u09cd\u09b0\u09be\u09ac\u09b2\u09bf \u0993 \u09aa\u09cd\u09b0\u09df\u09cb\u0997 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09eb.\u09ea \u098f\u09b0 \u09b8\u0995\u09b2 \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8 \u0993 \u0989\u09a4\u09cd\u09a4\u09b0 \u098f\u0996\u09be\u09a8\u09c7 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":4333,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[33],"tags":[35,34],"class_list":["post-4527","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-class-seven-7","tag-class-7","tag-class-seven"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u09eb\u09ae \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b8\u09c2\u09a4\u09cd\u09b0\u09be\u09ac\u09b2\u09bf \u0993 \u09aa\u09cd\u09b0\u09df\u09cb\u0997 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09eb.\u09ea | \u09b8\u09aa\u09cd\u09a4\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf - Study Zone BD<\/title>\n<meta name=\"description\" content=\"\u09ed\u09ae 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