{"id":4522,"date":"2022-09-24T20:40:57","date_gmt":"2022-09-24T20:40:57","guid":{"rendered":"https:\/\/www.studyzonebd.com\/math\/?p=4522"},"modified":"2022-09-24T23:58:37","modified_gmt":"2022-09-24T23:58:37","slug":"class-7-chapter-5-lesson-5-2","status":"publish","type":"post","link":"https:\/\/www.studyzonebd.com\/math\/class-7-chapter-5-lesson-5-2\/","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.\u09e8 | \u09b8\u09aa\u09cd\u09a4\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf"},"content":{"rendered":"\n<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) <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.\u09e8: \u09b8\u09c2\u09a4\u09cd\u09b0\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u0997\u09c1\u09a3\u09ab\u09b2 \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc<\/h4>\n\n\n\n<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 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09eb.\u09e8 \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.\u09e8 \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8 \u0993 \u09b8\u09ae\u09be\u09a7\u09be\u09a8<\/span><\/h4>\n\n\n\n<p><strong>\u09b8\u09c2\u09a4\u09cd\u09b0\u09c7\u09b0&nbsp;\u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7&nbsp;\u0997\u09c1\u09a3\u09ab\u09b2&nbsp;\u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc&nbsp;\u0995\u09b0\u0983<\/strong><\/p>\n\n\n\n<p><strong>\u09e7<\/strong><strong>. (4x+3)(4x-3)<\/strong><\/p>\n\n\n\n<p>\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p>(4x+3)(4x-3)<br>=(4x)<sup>2<\/sup>-(3)<sup>2<br><\/sup>=16x<sup>2<\/sup>-9<a><\/a><\/p>\n\n\n\n<p><strong>\u09e8<\/strong><strong>. (13-12p), (13+12p)<\/strong><\/p>\n\n\n\n<p>\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p>(13-12p)(13+12p)<br>=(13)<sup>2<\/sup>-(12p)<sup>2<br><\/sup>=169-144p<sup>2<\/sup><\/p>\n\n\n\n<p><strong>\u09e9<\/strong><strong>. (ab+3), (ab-3)<\/strong><\/p>\n\n\n\n<p>\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p>(ab+3)(ab-3)<br>=(ab)<sup>2<\/sup>-3<sup>2<br><\/sup>=a<sup>2<\/sup>b<sup>2<\/sup>-9<\/p>\n\n\n\n<p><strong>\u09ea<\/strong><strong>. (10-xy),(10+xy)<\/strong><\/p>\n\n\n\n<p>\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p>(10-xy)(10+xy)<br>=(10)<sup>2<\/sup>-(xy)<sup>2<br><\/sup>=100-x<sup>2<\/sup>y<sup>2<\/sup><\/p>\n\n\n\n<p><strong>\u09eb<\/strong><strong>. (4x<sup>2<\/sup>+3y<sup>2<\/sup>), (4x<sup>2<\/sup>-3y<sup>2<\/sup>)<\/strong><\/p>\n\n\n\n<p>\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p>(4x<sup>2<\/sup>+3y<sup>2<\/sup>)(4x<sup>2<\/sup>-3y<sup>2<\/sup>)<br>=(4x<sup>2<\/sup>)<sup>2<\/sup>-(3y<sup>2<\/sup>)<sup>2<br><\/sup>=16x<sup>4<\/sup>-9y<sup>4<\/sup><\/p>\n\n\n\n<p><strong>\u09ec<\/strong><strong>. (a-b-c), (a+b+c)<\/strong><\/p>\n\n\n\n<p>\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p>(a-b-c)(a+b+c)<br>={(a-(b+c)}{a+(b+c))<br>=(a<sup>2<\/sup>-(b+c)<sup>2<br><\/sup>=a<sup>2<\/sup>-(b<sup>2<\/sup>+2bc+c<sup>2<\/sup>)<br>=a<sup>2<\/sup>-b<sup>2<\/sup>-c<sup>2<\/sup>-2bc<\/p>\n\n\n\n<p><strong>\u09ed<\/strong><strong>. (x<sup>2<\/sup>-x+1), (x<sup>2<\/sup>+x+1)<\/strong><\/p>\n\n\n\n<p>\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p>(x<sup>2<\/sup>-x+1)(x<sup>2<\/sup>+x+1)<br>={(x<sup>2<\/sup>+1)-x}{(x<sup>2<\/sup>+1)+x}<br>=(x<sup>2<\/sup>+1)<sup>2<\/sup>-x<sup>2<br><\/sup>=(x<sup>2<\/sup>)<sup>2<\/sup>+2\u2715x<sup>2<\/sup>\u27151+1<sup>2<\/sup>-x<sup>2<br><\/sup>=x<sup>4<\/sup>+2x<sup>2<\/sup>+1-x<sup>2<br><\/sup>=x<sup>4<\/sup>+x<sup>2<\/sup>+1<\/p>\n\n\n\n<p><strong>\u09ee<\/strong><strong>. (x-a\/2), (x-5a\/2)<\/strong><\/p>\n\n\n\n<p>\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p>(x-a\/2)(x-5a\/2)<br>=(x)<sup>2<\/sup>+(-a\/2-5a\/2)x+(-a\/2)\u2715(5a\/2)<br>=x<sup>2<\/sup>+(-3a)x+5a<sup>2<\/sup>\/4<br>=x<sup>2<\/sup>-3ax+5a<sup>2<\/sup>\/4<\/p>\n\n\n\n<p><strong>\u09ef<\/strong><strong>. (x\/4-y\/3), (x\/4+y\/3)<\/strong><\/p>\n\n\n\n<p>\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p>(x\/4-y\/3)(x\/4+y\/3)<br>=(x\/4)<sup>2<\/sup>-(y\/3)<sup>2<br><\/sup>=x<sup>2<\/sup>\/16-y<sup>2<\/sup>\/9<\/p>\n\n\n\n<p><strong>\u09e7\u09e6<\/strong><strong>. (a<sup>4<\/sup>+3a<sup>2<\/sup>x<sup>2<\/sup>+9x<sup>4<\/sup>), (9x<sup>4<\/sup>-3a<sup>2<\/sup>x<sup>2<\/sup>+a<sup>4<\/sup>)<\/strong><\/p>\n\n\n\n<p>\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p>(a<sup>4<\/sup>+3a<sup>2<\/sup>x<sup>2<\/sup>+9x<sup>4<\/sup>)(9x<sup>4<\/sup>-3a<sup>2<\/sup>x<sup>2<\/sup>+a<sup>4<\/sup>)<br>={(a<sup>4<\/sup>+9x<sup>4<\/sup>)+3a<sup>2<\/sup>x<sup>2<\/sup>}{(a<sup>4<\/sup>+9x<sup>4<\/sup>)-3a<sup>2<\/sup>x<sup>2<\/sup>}<br>=(a<sup>4<\/sup>+9x<sup>4<\/sup>)<sup>2<\/sup>-(3a<sup>2<\/sup>x<sup>2<\/sup>)<sup>2<br><\/sup>=(a<sup>4<\/sup>)<sup>2<\/sup>+2\u2715a<sup>4<\/sup>\u27159x<sup>4<\/sup>+(9x<sup>4<\/sup>)<sup>2<\/sup>-9a<sup>4<\/sup>x<sup>4<br><\/sup>=a<sup>8<\/sup>+18a<sup>4<\/sup>x<sup>4<\/sup>+81x<sup>8<\/sup>-9a<sup>4<\/sup>x<sup>4<br><\/sup>= a<sup>8<\/sup>+9a<sup>4<\/sup>x<sup>4<\/sup>+81x<sup>8<\/sup><\/p>\n\n\n\n<p><strong>\u09e7\u09e7<\/strong><strong>. (x+1), (x-1), (x<sup>2<\/sup>+1)<\/strong><\/p>\n\n\n\n<p>\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p>(x+1)(x-1)(x<sup>2<\/sup>+1)<br>={(x)<sup>2<\/sup>-(1)<sup>2<\/sup>}(x<sup>2<\/sup>+1)<br>=(x<sup>2<\/sup>-1)(x<sup>2<\/sup>+1)<br>=(x<sup>2<\/sup>)<sup>2<\/sup>-1<sup>2<br><\/sup>=x<sup>4<\/sup>-1<\/p>\n\n\n\n<p><strong>\u09e7\u09e8<\/strong><strong>. (9a<sup>2<\/sup>+b<sup>2<\/sup>), (3a+b)(3a-b)<\/strong><\/p>\n\n\n\n<p>\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n<p>(9a<sup>2<\/sup>+b<sup>2<\/sup>)(3a+b)(3a-b)<br>=(9a<sup>2<\/sup>+b<sup>2<\/sup>){(3a)<sup>2<\/sup>-(b)<sup>2<\/sup>}<br>=(9a<sup>2<\/sup>+b<sup>2<\/sup>) (9a<sup>2<\/sup>+b<sup>2<\/sup>)<br>=(9a<sup>2<\/sup>)<sup>2<\/sup>+(b<sup>2<\/sup>)<sup>2<br><\/sup>=81a<sup>4<\/sup>-b<sup>4<\/sup><\/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,\u0997\u09a3\u09bf\u09a4 \u09b8\u09aa\u09cd\u09a4\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0-\u09eb.\u09e8 \u09b8\u09c2\u09a4\u09cd\u09b0\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u0997\u09c1\u09a3\u09ab\u09b2 \u09a8\u09bf\u09b0\u09cd\u09a3\u09df\n<\/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.\u09e8: \u09b8\u09c2\u09a4\u09cd\u09b0\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u0997\u09c1\u09a3\u09ab\u09b2 \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \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.\u09e8 \u098f\u09b0 \u09b8\u0995\u09b2 \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8 \u0993 \u0989\u09a4\u09cd\u09a4\u09b0 [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","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":"var(--ast-global-color-5)","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":""}},"footnotes":""},"categories":[33],"tags":[35,34],"class_list":["post-4522","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 v27.4 - 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.\u09e8 | \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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