{"id":261167,"date":"2025-07-19T21:15:19","date_gmt":"2025-07-19T21:15:19","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=261167"},"modified":"2025-07-19T21:15:21","modified_gmt":"2025-07-19T21:15:21","slug":"express-x-62-as-a-trinomial-in-standard-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/19\/express-x-62-as-a-trinomial-in-standard-form\/","title":{"rendered":"Express (x + 6)2 as a trinomial in standard form."},"content":{"rendered":"\n

Express (x + 6)2 as a trinomial in standard form.<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To express (x+6)2(x + 6)^2(x+6)2 as a trinomial in standard form, we need to expand it using the binomial expansion formula:(a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2(a+b)2=a2+2ab+b2<\/p>\n\n\n\n

Here, a=xa = xa=x and b=6b = 6b=6. Let’s apply the formula step by step:<\/p>\n\n\n\n

    \n
  1. Square the first term<\/strong>:<\/li>\n<\/ol>\n\n\n\n

    x2x^2×2<\/p>\n\n\n\n

      \n
    1. Multiply both terms and double the result<\/strong>:<\/li>\n<\/ol>\n\n\n\n

      2\u22c5x\u22c56=12×2 \\cdot x \\cdot 6 = 12×2\u22c5x\u22c56=12x<\/p>\n\n\n\n

        \n
      1. Square the second term<\/strong>:<\/li>\n<\/ol>\n\n\n\n

        62=366^2 = 3662=36<\/p>\n\n\n\n

        Now, combine all these terms:(x+6)2=x2+12x+36(x + 6)^2 = x^2 + 12x + 36(x+6)2=x2+12x+36<\/p>\n\n\n\n

        Thus, the trinomial in standard form is:x2+12x+36x^2 + 12x + 36×2+12x+36<\/p>\n\n\n\n

        Explanation:<\/h3>\n\n\n\n
          \n
        1. Squaring the first term<\/strong>: In any binomial expression like (a+b)2(a + b)^2(a+b)2, squaring the first term gives you a2a^2a2, which in this case is x2x^2×2.<\/li>\n\n\n\n
        2. Doubling the product of the two terms<\/strong>: The term 2ab2ab2ab arises from multiplying both terms together and then doubling the product, which results in 12x12x12x.<\/li>\n\n\n\n
        3. Squaring the second term<\/strong>: Finally, squaring the second term, b=6b = 6b=6, gives us 363636.<\/li>\n<\/ol>\n\n\n\n

          So, when you expand (x+6)2(x + 6)^2(x+6)2, you end up with the trinomial x2+12x+36x^2 + 12x + 36×2+12x+36, which is in the standard form ax2+bx+cax^2 + bx + cax2+bx+c, where a=1a = 1a=1, b=12b = 12b=12, and c=36c = 36c=36.<\/p>\n\n\n\n

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

          Express (x + 6)2 as a trinomial in standard form. The Correct Answer and Explanation is: To express (x+6)2(x + 6)^2(x+6)2 as a trinomial in standard form, we need to expand it using the binomial expansion formula:(a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2(a+b)2=a2+2ab+b2 Here, a=xa = xa=x and b=6b = 6b=6. Let’s apply […]<\/p>\n","protected":false},"author":1,"featured_media":0,"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":[25],"tags":[],"class_list":["post-261167","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/261167","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=261167"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/261167\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=261167"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=261167"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=261167"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}