{"id":162,"date":"2022-04-13T10:12:09","date_gmt":"2022-04-13T10:12:09","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=162"},"modified":"2025-01-18T11:39:10","modified_gmt":"2025-01-18T11:39:10","slug":"h-11-multiply-two-binomials-special-cases","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/h-11-multiply-two-binomials-special-cases\/","title":{"rendered":"H.11 Multiply two binomials: special cases"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong> Multiply two binomials: special cases<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-04d9d6410ea0aa79bd5fd62d138d8458\" style=\"color:#74008b;text-transform:uppercase\">key notes:<\/p>\n\n\n\n<p class=\"has-large-font-size\">Difference&nbsp;of&nbsp;squares:<\/p>\n\n\n\n<p class=\"has-large-font-size\">(a+b)(a\u2013b)=a<sup>2<\/sup>\u2013b<sup>2<\/sup><\/p>\n\n\n\n<p class=\"has-large-font-size\">Square&nbsp;of a&nbsp;binomial:<\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>(a+b)<sup>2<\/sup>=a<sup>2<\/sup>+2ab+b<sup>2<\/sup><\/li>\n\n\n\n<li>(a\u2013b)<sup>2<\/sup>=a<sup>2<\/sup>\u20132ab+b<sup>2<\/sup><\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#c6d0fa\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-94b4a687efb4bed12fa2ee56d94e21f0\" style=\"color:#b00012\">\ud83d\udd14 Find&nbsp;the product. <\/p>\n\n\n\n<p>Simplify your&nbsp;answer.<\/p>\n\n\n\n<p>(2v+2)(2v\u20132)<\/p>\n<\/div><\/div>\n\n\n\n<p>(2v+2)(2v\u20132)&nbsp;is the difference of squares, just like&nbsp;(a+b)(a\u2013b).&nbsp;So, you can find&nbsp;(2v+2)(2v\u20132)&nbsp;with this&nbsp;formula:<\/p>\n\n\n\n<p>(a+b)(a\u2013b)=a<sup>2<\/sup>\u2013b<sup>2<\/sup><\/p>\n\n\n\n<p>Replace&nbsp;a&nbsp;with&nbsp;2v&nbsp;and&nbsp;b&nbsp;with&nbsp;2,&nbsp;then&nbsp;simplify.<\/p>\n\n\n\n<p>(<strong>2<\/strong>v+<strong>2<\/strong>)(<strong>2<\/strong>v\u2013<strong>2<\/strong>)<\/p>\n\n\n\n<p>(<strong>2<\/strong>v)<sup>2<\/sup>\u2013<strong>2<\/strong><sup>2<\/sup><\/p>\n\n\n\n<p>4v<sup>2<\/sup>\u20134<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f3efbe\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-94b4a687efb4bed12fa2ee56d94e21f0\" style=\"color:#b00012\">\ud83d\udd14 Find&nbsp;the product. <\/p>\n\n\n\n<p>Simplify your&nbsp;answer.<\/p>\n\n\n\n<p>(d+3)(d\u20133)<\/p>\n<\/div><\/div>\n\n\n\n<p>(d+3)(d\u20133)&nbsp;is the difference of squares, just like&nbsp;(a+b)(a\u2013b).&nbsp;So, you can find&nbsp;(d+3)(d\u20133)&nbsp;with this&nbsp;formula:<\/p>\n\n\n\n<p>(a+b)(a\u2013b)=a<sup>2<\/sup>\u2013b<sup>2<\/sup><\/p>\n\n\n\n<p>Replace&nbsp;a&nbsp;with&nbsp;d&nbsp;and&nbsp;b&nbsp;with&nbsp;3,&nbsp;then&nbsp;simplify.<\/p>\n\n\n\n<p>(d+<strong>3<\/strong>)(d\u2013<strong>3<\/strong>)<\/p>\n\n\n\n<p>d<sup>2<\/sup>\u2013<strong>3<\/strong><sup>2<\/sup><\/p>\n\n\n\n<p>d<sup>2<\/sup>\u20139<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#d3fccc\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-ab94c52f6ae8b3b8fd45fffad0b0e6a2\" style=\"color:#b00012\">\ud83d\udd14 Find&nbsp;the square. <\/p>\n\n\n\n<p>Simplify your&nbsp;answer.<\/p>\n\n\n\n<p>(2k+3)<sup>2<\/sup><\/p>\n<\/div><\/div>\n\n\n\n<p>(2k+3)<sup>2<\/sup>&nbsp;is the square of a binomial, just like&nbsp;(a+b)<sup>2.<\/sup>&nbsp;So, you can find&nbsp;(2k+3<sup>)2<\/sup>&nbsp;with this&nbsp;formula:<\/p>\n\n\n\n<p>(a+b)<sup>2<\/sup>=a<sup>2<\/sup>+2ab+b<sup>2<\/sup><\/p>\n\n\n\n<p>Replace&nbsp;a&nbsp;with&nbsp;2k&nbsp;and&nbsp;b&nbsp;with&nbsp;3,&nbsp;then&nbsp;simplify.<\/p>\n\n\n\n<p>(<strong>2<\/strong>k+<strong>3<\/strong>)<sup>2<\/sup><\/p>\n\n\n\n<p>(<strong>2<\/strong>k)<sup>2<\/sup>+2(<strong>2<\/strong>k)(<strong>3<\/strong>)+<strong>3<\/strong><sup>2<\/sup><\/p>\n\n\n\n<p>4k<sup>2<\/sup>+12k+9<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice!\ud83d\udd8a\ufe0f<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/85177\/192\/126\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-38.png\" alt=\"\" class=\"wp-image-6871\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-38.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-38-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-38-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/51799\/726\/884\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-56.png\" alt=\"\" class=\"wp-image-6872\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-56.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-56-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-56-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Multiply two binomials: special cases key notes: Difference&nbsp;of&nbsp;squares: (a+b)(a\u2013b)=a2\u2013b2 Square&nbsp;of a&nbsp;binomial: Learn with an example \ud83d\udd14 Find&nbsp;the product. Simplify your&nbsp;answer. (2v+2)(2v\u20132) (2v+2)(2v\u20132)&nbsp;is the difference of squares, just like&nbsp;(a+b)(a\u2013b).&nbsp;So, you can find&nbsp;(2v+2)(2v\u20132)&nbsp;with this&nbsp;formula: (a+b)(a\u2013b)=a2\u2013b2 Replace&nbsp;a&nbsp;with&nbsp;2v&nbsp;and&nbsp;b&nbsp;with&nbsp;2,&nbsp;then&nbsp;simplify. (2v+2)(2v\u20132) (2v)2\u201322 4v2\u20134 \ud83d\udd14 Find&nbsp;the product. Simplify your&nbsp;answer. (d+3)(d\u20133) (d+3)(d\u20133)&nbsp;is the difference of squares, just like&nbsp;(a+b)(a\u2013b).&nbsp;So, you can find&nbsp;(d+3)(d\u20133)&nbsp;with this&nbsp;formula: (a+b)(a\u2013b)=a2\u2013b2<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/h-11-multiply-two-binomials-special-cases\/\">Continue reading <span class=\"screen-reader-text\">&#8220;H.11 Multiply two binomials: special cases&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-162","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/162","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=162"}],"version-history":[{"count":10,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/162\/revisions"}],"predecessor-version":[{"id":17423,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/162\/revisions\/17423"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=162"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}