{"id":435,"date":"2022-04-13T09:21:26","date_gmt":"2022-04-13T09:21:26","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=435"},"modified":"2024-01-06T07:11:31","modified_gmt":"2024-01-06T07:11:31","slug":"z-9-multiply-two-binomials-special-cases","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/z-9-multiply-two-binomials-special-cases\/","title":{"rendered":"Z.9 Multiply two binomials: special cases"},"content":{"rendered":"\n

Multiply two binomials: special cases<\/strong><\/h2>\n\n\n\n

key notes:<\/p>\n\n\n\n

\n

Square of a binomial:<\/p>\n\n\n\n

(a+b)2<\/sup>=a2<\/sup>+2ab+b2<\/sup><\/p>\n\n\n\n

(a\u2013b)2<\/sup>=a2<\/sup>\u20132ab+b2<\/sup><\/p>\n<\/div><\/div>\n\n\n\n

\n

Difference of squares:<\/p>\n\n\n\n

(a+b)(a\u2013b)=a2<\/sup>\u2013b2<\/sup><\/p>\n<\/div><\/div>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

\n
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\ud83c\udfaf Find\u00a0the square. <\/p>\n\n\n\n

Simplify your\u00a0answer.<\/p>\n\n\n\n

(3s+2)2<\/sup><\/p>\n<\/div><\/div>\n\n\n\n

(3s+2)2<\/sup> is the square of a binomial, just like (a+b)2<\/sup>. So, you can find (3s+2)2<\/sup> with this formula:<\/p>\n\n\n\n

(a+b)2<\/sup>=a2<\/sup>+2ab+b2<\/sup><\/p>\n\n\n\n

Replace a with 3s and b with 2, then simplify.<\/p>\n\n\n\n

(3<\/strong>s+2<\/strong>)2<\/sup><\/p>\n\n\n\n

(3<\/strong>s)2<\/sup>+2(3<\/strong>s)(2<\/strong>)+2<\/strong>2<\/sup><\/p>\n\n\n\n

9s2<\/sup>+12s+4<\/p>\n<\/div><\/div>\n\n\n\n

\n
\n

\ud83c\udfaf Find\u00a0the square. <\/p>\n\n\n\n

Simplify your\u00a0answer.<\/p>\n\n\n\n

(2f+2)2<\/sup><\/p>\n<\/div><\/div>\n\n\n\n

(2f+2)2<\/sup> is the square of a binomial, just like (a+b)2<\/sup>. So, you can find (2f+2)2<\/sup> with this formula:<\/p>\n\n\n\n

(a+b)2<\/sup>=a2<\/sup>+2ab+b2<\/sup><\/p>\n\n\n\n

Replace a with 2f and b with 2, then simplify.<\/p>\n\n\n\n

(2<\/strong>f+2<\/strong>)2<\/sup><\/p>\n\n\n\n

(2<\/strong>f)2<\/sup>+2(2<\/strong>f)(2<\/strong>)+2<\/strong>2<\/sup><\/p>\n\n\n\n

4f2<\/sup>+8f+4<\/p>\n<\/div><\/div>\n\n\n\n

\n
\n

\ud83c\udfaf Find\u00a0the product. <\/p>\n\n\n\n

Simplify your\u00a0answer.<\/p>\n\n\n\n

(4a\u20133)(4a+3)<\/p>\n<\/div><\/div>\n\n\n\n

(4a\u20133)(4a+3) can be written as (4a+3)(4a\u20133). Either way, it is the difference of squares, just like (a+b)(a\u2013b). So, you can find (4a+3)(4a\u20133) with this formula:<\/p>\n\n\n\n

(a+b)(a\u2013b)=a2<\/sup>\u2013b2<\/sup><\/p>\n\n\n\n

Replace a with 4a and b with 3, then simplify.<\/p>\n\n\n\n

(4<\/strong>a+3<\/strong>)(4<\/strong>a\u20133<\/strong>)<\/p>\n\n\n\n

(4<\/strong>a)2<\/sup>\u20133<\/strong>2<\/sup><\/p>\n\n\n\n

16a2<\/sup> \u2013 9<\/p>\n<\/div><\/div>\n\n\n\n

let’s practice!<\/strong><\/p>\n\n\n\n

\n
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\"\"<\/figure>\n<\/div>\n\n\n\n
\n
\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Multiply two binomials: special cases key notes: Square of a binomial: (a+b)2=a2+2ab+b2 (a\u2013b)2=a2\u20132ab+b2 Difference of squares: (a+b)(a\u2013b)=a2\u2013b2 Learn with an example \ud83c\udfaf Find\u00a0the square. Simplify your\u00a0answer. (3s+2)2 (3s+2)2 is the square of a binomial, just like (a+b)2. So, you can find (3s+2)2 with this formula: (a+b)2=a2+2ab+b2 Replace a with 3s and b with 2, then simplify. (3s+2)2 (3s)2+2(3s)(2)+22 9s2+12s+4 \ud83c\udfaf Find\u00a0the square. Simplify your\u00a0answer. (2f+2)2 (2f+2)2 is the square of a binomial, just like (a+b)2. So, youContinue reading “Z.9 Multiply two binomials: special cases”<\/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-435","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/435","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=435"}],"version-history":[{"count":7,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/435\/revisions"}],"predecessor-version":[{"id":12153,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/435\/revisions\/12153"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=435"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}