{"id":4471,"date":"2022-09-24T18:35:29","date_gmt":"2022-09-24T18:35:29","guid":{"rendered":"https:\/\/www.studyzonebd.com\/math\/?p=4471"},"modified":"2022-09-24T19:41:28","modified_gmt":"2022-09-24T19:41:28","slug":"class-7-chapter-4-lesson-4-1","status":"publish","type":"post","link":"https:\/\/www.studyzonebd.com\/math\/class-7-chapter-4-lesson-4-1\/","title":{"rendered":"\u0985\u09a7\u09cd\u09af\u09be\u09df \u09ea\u09b0\u09cd\u09a5\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b0\u09be\u09b6\u09bf\u09b0 \u0997\u09c1\u09a3 \u0993 \u09ad\u09be\u0997 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09ea.\u09e7 | \u09b8\u09aa\u09cd\u09a4\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u0985\u09a7\u09cd\u09af\u09be\u09df \u09ea\u09b0\u09cd\u09a5\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b0\u09be\u09b6\u09bf\u09b0 \u0997\u09c1\u09a3 \u0993 \u09ad\u09be\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>04 : Multiplication and division of algebraic expressions<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u0985\u09a7\u09cd\u09af\u09be\u09df \u09ea\u09b0\u09cd\u09a5\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b0\u09be\u09b6\u09bf\u09b0 \u0997\u09c1\u09a3 \u0993 \u09ad\u09be\u0997 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09ea.\u09e7 : &nbsp;\u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b0\u09be\u09b6\u09bf\u09b0 \u0997\u09c1\u09a3<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u0985\u09a7\u09cd\u09af\u09be\u09df \u09ea\u09b0\u09cd\u09a5\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b0\u09be\u09b6\u09bf\u09b0 \u0997\u09c1\u09a3 \u0993 \u09ad\u09be\u0997 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09ea.\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 \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 \u09ea\u09b0\u09cd\u09a5 \u0985\u09a7\u09cd\u09af\u09be\u09df \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09ea.\u09e7 \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8 \u0993 \u09b8\u09ae\u09be\u09a7\u09be\u09a8<\/span><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e7\u09ae<\/strong><\/b><b><strong>&nbsp;<\/strong><\/b><b><strong>\u09b0\u09be\u09b6\u09bf\u0995\u09c7<\/strong><\/b><b><strong>&nbsp;<\/strong><\/b><b><strong>\u09e8\u09df<\/strong><\/b><b><strong>&nbsp;<\/strong><\/b><b><strong>\u09b0\u09be\u09b6\u09bf<\/strong><\/b><b><strong>&nbsp;<\/strong><\/b><b><strong>\u09a6\u09cd\u09ac\u09be\u09b0\u09be<\/strong><\/b><b><strong>&nbsp;<\/strong><\/b><b><strong>\u0997\u09c1\u09a3<\/strong><\/b><b><strong>&nbsp;<\/strong><\/b><b><strong>\u0995\u09b0<\/strong><\/b><b><strong>&nbsp;(<\/strong><\/b><b><strong>\u09e7<\/strong><\/b><b><strong>&#8211;<\/strong><\/b><b><strong>\u09e8\u09ea<\/strong><\/b><b><strong>)<\/strong><\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e7<\/strong><\/b><b><strong>. 3ab, 4a<sup>3<\/sup><\/strong><\/b><\/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\">3ab\u27154a<sup>3<\/sup>=(3\u27154)\u2715(a\u2715a<sup>3<\/sup>)\u2715b=12a<sup>4<\/sup>b<br>\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=12a<sup>4<\/sup>b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e8<\/strong><\/b><b><strong>. 5xy, 6az<\/strong><\/b><\/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\">5xy\u27156az=(5\u27156)\u2715x\u2715y\u2715a\u2715z=30axyz<br>\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=30axyz<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e9<\/strong><\/b><b><strong>. 5a<sup>2<\/sup>x<sup>2<\/sup>, 3ax<sup>5<\/sup>y<\/strong><\/b><\/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\">5a<sup>2<\/sup>x<sup>2<\/sup>\u27153ax<sup>5<\/sup>y=(5\u27153)\u2715(a<sup>2<\/sup>\u2715a)\u2715(x<sup>2<\/sup>\u2715x<sup>5<\/sup>)\u2715y=15a<sup>3<\/sup>x<sup>7<\/sup>y<br>\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=15a<sup>3<\/sup>x<sup>7<\/sup>y<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09ea<\/strong><\/b><b><strong>. 8a<sup>2<\/sup>b,-2b<sup>2<\/sup><\/strong><\/b><\/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\">8a<sup>2<\/sup>b\u2715-2b<sup>2<\/sup>=(8\u2715-2)\u2715a<sup>2<\/sup>\u2715(b\u2715b<sup>2<\/sup>)=-16a<sup>2<\/sup>b<sup>3<br><\/sup>\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=-16a<sup>2<\/sup>b<sup>3<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09eb<\/strong><\/b><b><strong>. -2abx<sup>2<\/sup>, 10b<sup>3<\/sup>xyz<\/strong><\/b><\/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\">-2abx<sup>2<\/sup>\u271510b<sup>3<\/sup>xyz=(-2\u271510)\u2715a\u2715(b\u2715b<sup>3<\/sup>)\u2715(x<sup>2<\/sup>\u2715x)\u2715y\u2715z=-20ab<sup>4<\/sup>x<sup>3<\/sup>yz<br>\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=-20ab<sup>4<\/sup>x<sup>3<\/sup>yz<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09ec<\/strong><\/b><b><strong>. -3p<sup>2<\/sup>q<sup>3<\/sup>, -6pp<sup>5<\/sup>q<sup>4<\/sup><\/strong><\/b><\/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\">-3p<sup>2<\/sup>q<sup>3<\/sup>\u2715-6pp<sup>5<\/sup>q<sup>4<\/sup>=(-3\u2715-6)\u2715(p<sup>2<\/sup>\u2715p<sup>5<\/sup>)\u2715(q<sup>3<\/sup>\u2715q<sup>4<\/sup>)=18p<sup>7<\/sup>q<sup>7<br><\/sup>\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=18p<sup>7<\/sup>q<sup>7<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09ed<\/strong><\/b><b><strong>. -12m<sup>2<\/sup>a<sup>2<\/sup>x<sup>3<\/sup>, -2ma<sup>2<\/sup>x<sup>2<\/sup><\/strong><\/b><\/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\">-12m<sup>2<\/sup>a<sup>2<\/sup>x<sup>3<\/sup>, -2ma<sup>2<\/sup>x<sup>2<\/sup>=(-12\u2715-2)\u2715(a<sup>2<\/sup>\u2715a<sup>2<\/sup>)\u2715(m<sup>2<\/sup>\u2715m)\u2715(x<sup>3<\/sup>\u2715x<sup>2<\/sup>)=24a<sup>4<\/sup>m<sup>3<\/sup>x<sup>5<br><\/sup>\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=24a<sup>4<\/sup>m<sup>3<\/sup>x<sup>5<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09ee<\/strong><\/b><b><strong>. 7a<sup>3<\/sup>bx<sup>5<\/sup>y<sup>2<\/sup>, -3x<sup>5<\/sup>y<sup>3<\/sup>a<sup>2<\/sup>b<sup>2<\/sup><\/strong><\/b><\/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\">7a<sup>3<\/sup>bx<sup>5<\/sup>y<sup>2<\/sup>\u2715-3x<sup>5<\/sup>y<sup>3<\/sup>a<sup>2<\/sup>b<sup>2<\/sup>=(7\u2715-3)\u2715(a<sup>3<\/sup>\u2715a<sup>2<\/sup>)\u2715(b\u2715b<sup>2<\/sup>)\u2715(x<sup>5<\/sup>\u2715x<sup>5<\/sup>)\u2715(y<sup>2<\/sup>\u2715y<sup>3<\/sup>)=-21a<sup>5<\/sup>b<sup>3<\/sup>x<sup>10<\/sup>y<sup>5<br><\/sup>\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=-21a<sup>5<\/sup>b<sup>3<\/sup>x<sup>10<\/sup>y<sup>5<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09ef<\/strong><\/b><b><strong>. 2x+3y, 5xy<\/strong><\/b><\/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\">(2x+3y)\u27155xy=(2x\u27155y)+(3y\u27155y)=10x<sup>2<\/sup>y+15xy<sup>2<br><\/sup>\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=10x<sup>2<\/sup>y+15xy<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e7\u09e6<\/strong><\/b><b><strong>. 5x<sup>2<\/sup>-4xy, 9x<sup>2<\/sup>y<sup>2<\/sup><\/strong><\/b><\/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\">(5x<sup>2<\/sup>-4xy)\u27159x<sup>2<\/sup>y<sup>2<\/sup>=(5x<sup>2<\/sup>\u27159x<sup>2<\/sup>y<sup>2<\/sup>)-(4xy\u27159x<sup>2<\/sup>y<sup>2<\/sup>)=10x<sup>2<\/sup>y+15xy<sup>2<br><\/sup>\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=10x<sup>2<\/sup>y+15xy<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e7\u09e7<\/strong><\/b><b><strong>. 2a<sup>2<\/sup>-3b<sup>2<\/sup>+c<sup>2<\/sup>, a<sup>3<\/sup>b<sup>2<\/sup><\/strong><\/b><\/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\">(2a<sup>2<\/sup>-3b<sup>2<\/sup>+c<sup>2<\/sup>)\u2715a<sup>3<\/sup>b<sup>2<\/sup>=(2a<sup>2<\/sup>\u2715a<sup>3<\/sup>b<sup>2<\/sup>)-(3b<sup>2<\/sup>\u2715a<sup>3<\/sup>b<sup>2<\/sup>)+(c<sup>2<\/sup>\u2715a<sup>3<\/sup>b<sup>2<\/sup>)=2a<sup>5<\/sup>b<sup>2<\/sup>-3a<sup>3<\/sup>b<sup>4<\/sup>+a<sup>3<\/sup>b<sup>2<\/sup>c<sup>2<br><\/sup>\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=2a<sup>5<\/sup>b<sup>2<\/sup>-3a<sup>3<\/sup>b<sup>4<\/sup>+a<sup>3<\/sup>b<sup>2<\/sup>c<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e7\u09e8<\/strong><\/b><b><strong>. X<sup>3<\/sup>-y<sup>3<\/sup>+3xyz, xy<\/strong><\/b><\/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\">(X<sup>3<\/sup>-y<sup>3<\/sup>+3xyz)\u2715xy= (x<sup>3<\/sup>\u2715xy)-(y<sup>3<\/sup>\u2715xy)+(3xyz\u2715xy)=x<sup>7<\/sup>y-x<sup>4<\/sup>y<sup>4<\/sup>+3x<sup>5<\/sup>y<sup>2<\/sup>z<br>\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=x<sup>7<\/sup>y-x<sup>4<\/sup>y<sup>4<\/sup>+3x<sup>5<\/sup>y<sup>2<\/sup>z<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e7\u09e9<\/strong><\/b><b><strong>. 2a-3b, 3a+2b<\/strong><\/b><\/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\">(2a &#8211; 3b) \u00d7  (3a + 2b)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 2a\u00d73a &#8211; 3b\u00d73a + 2a\u00d72b &#8211; 3b\u00d72b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 6a<sup>2<\/sup>-9ab+4ab-6b<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 6a<sup>2<\/sup>-5ab-6b<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2 = 6a<sup>2<\/sup>-5ab-6b<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e7\u09ea<\/strong><\/b><b><strong>. a+b, a-b<\/strong><\/b><\/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\">(a+b) \u00d7 (a-b)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= a\u00d7a\u00d7a\u00d7b-a\u00d7b-b\u00d7b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= a<sup>2<\/sup>+ab-ab-b<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= a<sup>2<\/sup>-b<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=&nbsp;a<sup>2<\/sup>-b<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e7\u09eb<\/strong><\/b><b><strong>. x<sup>2<\/sup>+1, x<sup>2<\/sup>-1<\/strong><\/b><\/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\">(x<sup>2<\/sup>+1)\u00d7(x<sup>2<\/sup>-1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= (x<sup>2<\/sup>+1)x<sup>2<\/sup>+(x<sup>2<\/sup>+1)(-1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x<sup>4<\/sup>+x<sup>2<\/sup>-x<sup>2<\/sup>-1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">=x<sup>4<\/sup>-1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=&nbsp;x<sup>4<\/sup>-1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e7\u09ec<\/strong><\/b><b><strong>. a<sup>2<\/sup>+b<sup>2<\/sup>, a+b<\/strong><\/b><\/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\">(a<sup>2<\/sup>+b<sup>2<\/sup>)\u00d7(a+b)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= (a<sup>2<\/sup>+b<sup>2<\/sup>)a+(a<sup>2<\/sup>+b<sup>2<\/sup>)b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">=a<sup>2<\/sup>\u00d7a+b<sup>2<\/sup>\u00d7a+a<sup>2<\/sup>\u00d7b+b<sup>2<\/sup>\u00d7b <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= a<sup>3<\/sup>+a<sup>2<\/sup>b+ab<sup>2<\/sup>+b<sup>3<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=&nbsp;a<sup>3<\/sup>+a<sup>2<\/sup>b+ab<sup>2<\/sup>+b<sup>3<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e7\u09ed<\/strong><\/b><b><strong>. a<sup>2<\/sup>-ab+b<sup>2<\/sup>, a+b<\/strong><\/b><\/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\"><b>(a<sup>2<\/sup>-ab+b<sup>2<\/sup>)\u00d7 (a+b)<\/b><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= <b>(a<sup>2<\/sup>-ab+b<sup>2<\/sup>)<\/b>a+<b>(a<sup>2<\/sup>-ab+b<sup>2<\/sup>)<\/b>b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= a<sup>2<\/sup>\u00d7a-ab\u00d7a+b<sup>2<\/sup>\u00d7a+a<sup>2<\/sup>\u00d7b-ab\u00d7b-b<sup>2<\/sup>\u00d7b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= a<sup>3<\/sup>-a<sup>2<\/sup>b+ab<sup>2<\/sup>+a<sup>2<\/sup>b-ab<sup>3<\/sup>+b<sup>3<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= a<sup>3<\/sup>+b<sup>3<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2= a<sup>3<\/sup>+b<sup>3<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e7\u09ee<\/strong><\/b><b><strong>. x<sup>2<\/sup>+2xy+y<sup>2<\/sup>, x+y<\/strong><\/b><\/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\">(x<sup>2<\/sup>+2xy+y<sup>2<\/sup>)\u00d7(x+y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= (x<sup>2<\/sup>+2xy+y<sup>2<\/sup>)x + (x<sup>2<\/sup>+2xy+y<sup>2<\/sup>)y<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x<sup>2<\/sup>\u00d7x+2xy\u00d7x+y<sup>2<\/sup>\u00d7x+x<sup>2<\/sup>\u00d7y+2xy\u00d7y+y<sup>2<\/sup>\u00d7y<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x<sup>3<\/sup>+3x<sup>2<\/sup>y+3xy<sup>2<\/sup>+y<sup>3<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2= x<sup>3<\/sup>+3x<sup>2<\/sup>y+3xy<sup>2<\/sup>+y<sup>3<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e7\u09ef<\/strong><\/b><b><strong>. x<sup>2<\/sup>-2xy+y<sup>2<\/sup>, x-y<\/strong><\/b><\/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\">x<sup>2<\/sup> &#8211; 2xy + y<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">   <u>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;x &#8211; y<\/u><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x<sup>3<\/sup>-2x<sup>4<\/sup>y+xy<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><u>-x<sup>2<\/sup>y+2xy<sup>2<\/sup>-y<sup>3<\/sup><\/u><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09af\u09cb\u0997&nbsp;\u0995\u09b0\u09c7, X<sup>3<\/sup>-3x<sup>2<\/sup>y+3xy<sup>2<\/sup>-y<sup>3<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=&nbsp;X<sup>3<\/sup>-3x<sup>2<\/sup>y+3xy<sup>2<\/sup>-y<sup>3<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e8\u09e6<\/strong><\/b><b><strong>. x<sup>2<\/sup>+2x-3, x+3<\/strong><\/b><\/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\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;x<sup>2<\/sup>+2x-3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">        <span style=\"text-decoration: underline;\">       <u>&nbsp;x+<\/u><\/span><u>3<\/u><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">      x<sup>3<\/sup>+2x<sup>2<\/sup>-3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">    <u>+3x<sup>2<\/sup>+6x-9<\/u><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">  x<sup>3<\/sup>+5x<sup>2<\/sup>+3x-9 [\u09af\u09cb\u0997 \u0995\u09b0\u09c7]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2= x<sup>3<\/sup>+5x<sup>2<\/sup>+3x-9<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e8\u09e7<\/strong><\/b><b><strong>. a<sup>2<\/sup>+ab+b<sup>2<\/sup>, b<sup>2<\/sup>-ab+a<sup>2<\/sup><\/strong><\/b><\/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\">a<sup>2<\/sup>+ab+b<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><u>a<sup>2<\/sup>-ab+b<sup>2<\/sup><\/u><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a<sup>4<\/sup>+a<sup>3<\/sup>b+a<sup>2<\/sup>b<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">-a<sup>3<\/sup>b-a<sup>2<\/sup>b<sup>2<\/sup>-ab<sup>3<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><u>     +a<sup>2<\/sup>b<sup>2<\/sup>+ab<sup>3<\/sup>+b<sup>4<\/sup><\/u><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09af\u09cb\u0997 \u0995\u09b0\u09c7, a<sup>4<\/sup>+a<sup>2<\/sup>b<sup>2<\/sup>+b<sup>4<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2= a<sup>4<\/sup>+a<sup>2<\/sup>b<sup>2<\/sup>+b<sup>4<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e8\u09e8<\/strong><\/b><b><strong>. a+b+c, a+b+c<\/strong><\/b><\/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\">   a+b+c<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"text-decoration: underline;\">   <u>a+b+c<\/u><\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a<sup>2<\/sup>+ab+ac<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">+ab+b<sup>2<\/sup>+bc<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><u>ac+bc+c<sup>2<\/sup><\/u><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a<sup>2<\/sup>+2ab+2ac+b<sup>2<\/sup>+2bc+c<sup>2<\/sup> [\u09af\u09cb\u0997 \u0995\u09b0\u09c7]<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=&nbsp;a<sup>2<\/sup>+2ab+2ac+b<sup>2<\/sup>+2bc+c<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e8\u09e9<\/strong><\/b><b><strong>. x<sup>2<\/sup>+xy+y<sup>2<\/sup>, x<sup>2<\/sup>-xy+y<sup>2<\/sup><\/strong><\/b><\/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\">&nbsp;x<sup>2<\/sup>+xy+y<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><u>x<sup>2<\/sup>-xy+y<sup>2<\/sup><\/u><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x<sup>4<\/sup>+x<sup>3<\/sup>y+x<sup>2<\/sup>y<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">-x<sup>3<\/sup>y-x<sup>2<\/sup>y<sup>2<\/sup>-xy<sup>3<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><u>+x<sup>2<\/sup>y<sup>2<\/sup>+xy<sup>3<\/sup>+y<sup>4<\/sup><\/u><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09af\u09cb\u0997&nbsp;\u0995\u09b0\u09c7, x<sup>4<\/sup>+x<sup>2<\/sup>y<sup>2<\/sup>+y<sup>4<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=&nbsp;x<sup>4<\/sup>+x<sup>2<\/sup>y<sup>2<\/sup>+y<sup>4<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e8\u09ea<\/strong><\/b><b><strong>. y<sup>2<\/sup>-y+1, 1+y+y<sup>2<\/sup><\/strong><\/b><\/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\">&nbsp;&nbsp;y<sup>2<\/sup>-y+1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><u>1+y+y<sup>2<\/sup><\/u><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">y<sup>4<\/sup>-y<sup>3<\/sup>+y<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">+y<sup>3<\/sup>-y<sup>2<\/sup>+y<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><u>+y<sup>2<\/sup>-y+1<\/u><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span style=\"font-weight: 400;\">\u09af\u09cb\u0997 \u0995\u09b0\u09c7, y4+y2+1<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997\u09c1\u09a3\u09ab\u09b2=&nbsp;y<sup>4<\/sup>+y<sup>2<\/sup>+1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e8\u09eb. A=x<sup>2<\/sup>+xy+y<sup>2<\/sup>&nbsp;\u098f\u09ac\u0982 B=x-y&nbsp;&nbsp;\u09b9\u09b2\u09c7, \u09aa\u09cd\u09b0\u09ae\u09be\u09a8 \u0995\u09b0 \u09af\u09c7, AB=x<sup>3<\/sup>-y<sup>3<\/sup><\/strong><\/b><\/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\">\u09a6\u09c7\u0993\u09df\u09be \u0986\u099b\u09c7,<br>A=x<sup>2<\/sup>+xy+y<sup>2<\/sup>&nbsp;\u098f\u09ac\u0982 B=x-y<br>\u09aa\u09cd\u09b0\u09ae\u09be\u09a8 \u0995\u09b0\u09a4\u09c7 \u09b9\u09ac\u09c7 \u09af\u09c7, AB=x<sup>3<\/sup>-y<sup>3<br><\/sup>\u09ac\u09be\u09ae\u09aa\u0995\u09cd\u09b7<br>=AB<br>= (x<sup>2<\/sup>+xy+y<sup>2<\/sup>)\u2715&nbsp;(x-y)<br>= x(x<sup>2<\/sup>+xy+y<sup>2<\/sup>)-y(x<sup>2<\/sup>+xy+y<sup>2<\/sup>)<br>=x<sup>3<\/sup>+x<sup>2<\/sup>y+xy<sup>2<\/sup>-x<sup>2<\/sup>y-xy<sup>2<\/sup>-y<sup>3<br><\/sup>=x<sup>3<\/sup>-y<sup>3<br><\/sup>=\u09a1\u09be\u09a8\u09aa\u0995\u09cd\u09b7 (\u09aa\u09cd\u09b0\u09ae\u09be\u09a3\u09bf\u09a4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e8\u09ec. A=a<sup>2<\/sup>-ab+b<sup>2<\/sup>&nbsp;\u098f\u09ac\u0982 B=a+b \u09b9\u09b2\u09c7, AB \u0995\u09a4?<\/strong><\/b><\/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\">&nbsp;&nbsp;&nbsp;AB<br>=A\u2715B<br>=( a<sup>2<\/sup>-ab+b<sup>2<\/sup>)\u2715(a+b))<br>=a(a<sup>2<\/sup>-ab+b<sup>2<\/sup>)+b(a<sup>2<\/sup>-ab+b<sup>2<\/sup>)<br>=a<sup>3<\/sup>-a<sup>2<\/sup>b+ab<sup>2<\/sup>+a<sup>2<\/sup>b-ab<sup>2<\/sup>+b<sup>3<br><\/sup>=a<sup>3<\/sup>+b<sup>3<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e8\u09ed. \u09a6\u09c7\u0996\u09be\u0993 \u09af\u09c7, (a+1)(a-1)(a<sup>2<\/sup>+1)=a<sup>4<\/sup>-1<\/strong><\/b><\/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\">\u09a6\u09c7\u0996\u09be\u09a4\u09c7 \u09b9\u09ac\u09c7 \u09af\u09c7, (a+1)(a-1)(a<sup>2<\/sup>+1)=a<sup>4<\/sup>-1<br>\u09ac\u09be\u09ae\u09aa\u0995\u09cd\u09b7<br>=(a+1)(a-1)(a<sup>2<\/sup>+1)<br>={a(a+1)-1(a+1)} (a<sup>2<\/sup>+1)<br>=(a<sup>2<\/sup>+a-a-1) (a<sup>2<\/sup>+1)<br>=(a<sup>2<\/sup>-1) (a<sup>2<\/sup>+1)<br>=a<sup>2<\/sup>(a<sup>2<\/sup>-1)+1(a<sup>2<\/sup>-1)<br>=a<sup>4<\/sup>-a2+a<sup>2<\/sup>-1<br>=a<sup>4<\/sup>-1<br>=\u09a1\u09be\u09a8\u09aa\u0995\u09cd\u09b7 (\u09a6\u09c7\u0996\u09be\u09a8\u09cb \u09b9\u09b2\u09cb)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><b><strong>\u09e8\u09ee. \u09a6\u09c7\u0996\u09be\u0993 \u09af\u09c7, (x+y)(x-y)(x<sup>2<\/sup>+y<sup>2<\/sup>)=x<sup>4<\/sup>-y<sup>4<\/sup><\/strong><\/b><\/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\">\u09a6\u09c7\u0996\u09be\u09a4\u09c7 \u09b9\u09ac\u09c7, (x+y)(x-y)(x<sup>2<\/sup>+y<sup>2<\/sup>)=x<sup>4<\/sup>-y<sup>4<br><\/sup>\u09ac\u09be\u09ae\u09aa\u0995\u09cd\u09b7<br>=(x+y)(x-y)(x<sup>2<\/sup>+y<sup>2<\/sup>)<br>={x(x+y)-y(x+y)} (x<sup>2<\/sup>+y<sup>2<\/sup>)<br>=(x<sup>2<\/sup>+xy-xy-y<sup>2<\/sup>) (x<sup>2<\/sup>+y<sup>2<\/sup>)<br>=(x<sup>2<\/sup>-y<sup>2<\/sup>) (x<sup>2<\/sup>+y<sup>2<\/sup>)<br>=x<sup>2<\/sup>(x<sup>2<\/sup>-y<sup>2<\/sup>)+y<sup>2<\/sup>(x<sup>2<\/sup>-y<sup>2<\/sup>)<br>=x<sup>4<\/sup>+x<sup>2<\/sup>y<sup>2<\/sup>+x<sup>2<\/sup>y<sup>2<\/sup>-y<sup>4<br><\/sup>=x<sup>4<\/sup>-y<sup>4<br><\/sup>=\u09a1\u09be\u09a8\u09aa\u0995\u09cd\u09b7 (\u09a6\u09c7\u0996\u09be\u09a8\u09cb \u09b9\u09b2\u09cb)<\/p>\n\n\n\n<hr class=\"wp-block-separator 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, \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09a3\u09bf\u09a4 \u09b8\u09aa\u09cd\u09a4\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0-\u09ea.\u09e7 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b0\u09be\u09b6\u09bf\u09b0 \u0997\u09c1\u09a3<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>\u0985\u09a7\u09cd\u09af\u09be\u09df \u09ea\u09b0\u09cd\u09a5\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b0\u09be\u09b6\u09bf\u09b0 \u0997\u09c1\u09a3 \u0993 \u09ad\u09be\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 04 : Multiplication and division of algebraic expressions \u0985\u09a7\u09cd\u09af\u09be\u09df \u09ea\u09b0\u09cd\u09a5\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b0\u09be\u09b6\u09bf\u09b0 \u0997\u09c1\u09a3 \u0993 \u09ad\u09be\u0997 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09ea.\u09e7 : &nbsp;\u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b0\u09be\u09b6\u09bf\u09b0 \u0997\u09c1\u09a3 \u0985\u09a7\u09cd\u09af\u09be\u09df \u09ea\u09b0\u09cd\u09a5\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b0\u09be\u09b6\u09bf\u09b0 \u0997\u09c1\u09a3 \u0993 \u09ad\u09be\u0997 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09ea.\u09e7 [&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-4471","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 v27.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0985\u09a7\u09cd\u09af\u09be\u09df \u09ea\u09b0\u09cd\u09a5\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b0\u09be\u09b6\u09bf\u09b0 \u0997\u09c1\u09a3 \u0993 \u09ad\u09be\u0997 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09ea.\u09e7 | \u09b8\u09aa\u09cd\u09a4\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf - Study Zone BD<\/title>\n<meta name=\"description\" content=\"\u09ed\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf 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Chapter 04 : Multiplication and division of algebraic expressions \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0\u09b0 \u09b8\u09ae\u09be\u09a7\u09be\u09a8....\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.studyzonebd.com\/math\/class-7-chapter-4-lesson-4-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0985\u09a7\u09cd\u09af\u09be\u09df \u09ea\u09b0\u09cd\u09a5\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b0\u09be\u09b6\u09bf\u09b0 \u0997\u09c1\u09a3 \u0993 \u09ad\u09be\u0997 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09ea.\u09e7 | \u09b8\u09aa\u09cd\u09a4\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf - Study Zone BD\" \/>\n<meta property=\"og:description\" content=\"\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 04 : Multiplication and division of algebraic expressions \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0\u09b0 \u09b8\u09ae\u09be\u09a7\u09be\u09a8....\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.studyzonebd.com\/math\/class-7-chapter-4-lesson-4-1\/\" \/>\n<meta property=\"og:site_name\" content=\"Study Zone BD\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/studyzonebdcom\/\" \/>\n<meta property=\"article:author\" content=\"https:\/\/www.facebook.com\/studyzonebdcom\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-09-24T18:35:29+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-09-24T19:41:28+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.studyzonebd.com\/math\/wp-content\/uploads\/2022\/09\/Class-7-math-solution.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"675\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"StudyZone BD\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@StudyZoneBD_com\" \/>\n<meta name=\"twitter:site\" content=\"@StudyZoneBD_com\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"StudyZone BD\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"6 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.studyzonebd.com\\\/math\\\/class-7-chapter-4-lesson-4-1\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.studyzonebd.com\\\/math\\\/class-7-chapter-4-lesson-4-1\\\/\"},\"author\":{\"name\":\"StudyZone BD\",\"@id\":\"https:\\\/\\\/www.studyzonebd.com\\\/math\\\/#\\\/schema\\\/person\\\/eb47b9e07c0f27fa4d114357c2eda1e2\"},\"headline\":\"\u0985\u09a7\u09cd\u09af\u09be\u09df \u09ea\u09b0\u09cd\u09a5\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b0\u09be\u09b6\u09bf\u09b0 \u0997\u09c1\u09a3 \u0993 \u09ad\u09be\u0997 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09ea.\u09e7 | \u09b8\u09aa\u09cd\u09a4\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf\",\"datePublished\":\"2022-09-24T18:35:29+00:00\",\"dateModified\":\"2022-09-24T19:41:28+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.studyzonebd.com\\\/math\\\/class-7-chapter-4-lesson-4-1\\\/\"},\"wordCount\":837,\"publisher\":{\"@id\":\"https:\\\/\\\/www.studyzonebd.com\\\/math\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/www.studyzonebd.com\\\/math\\\/class-7-chapter-4-lesson-4-1\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.studyzonebd.com\\\/math\\\/wp-content\\\/uploads\\\/2022\\\/09\\\/Class-7-math-solution.jpg\",\"keywords\":[\"class 7\",\"class seven\"],\"articleSection\":[\"Class Seven (7)\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.studyzonebd.com\\\/math\\\/class-7-chapter-4-lesson-4-1\\\/\",\"url\":\"https:\\\/\\\/www.studyzonebd.com\\\/math\\\/class-7-chapter-4-lesson-4-1\\\/\",\"name\":\"\u0985\u09a7\u09cd\u09af\u09be\u09df \u09ea\u09b0\u09cd\u09a5\u0983 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b0\u09be\u09b6\u09bf\u09b0 \u0997\u09c1\u09a3 \u0993 \u09ad\u09be\u0997 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09ea.\u09e7 | \u09b8\u09aa\u09cd\u09a4\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf - Study Zone BD\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.studyzonebd.com\\\/math\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/www.studyzonebd.com\\\/math\\\/class-7-chapter-4-lesson-4-1\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/www.studyzonebd.com\\\/math\\\/class-7-chapter-4-lesson-4-1\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.studyzonebd.com\\\/math\\\/wp-content\\\/uploads\\\/2022\\\/09\\\/Class-7-math-solution.jpg\",\"datePublished\":\"2022-09-24T18:35:29+00:00\",\"dateModified\":\"2022-09-24T19:41:28+00:00\",\"description\":\"\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. 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