{"id":219958,"date":"2025-05-27T08:44:09","date_gmt":"2025-05-27T08:44:09","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=219958"},"modified":"2025-05-27T08:44:11","modified_gmt":"2025-05-27T08:44:11","slug":"rewrite-without-gibberish-text-and-simplify-y-6-squared","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/27\/rewrite-without-gibberish-text-and-simplify-y-6-squared\/","title":{"rendered":"Rewrite without gibberish text and simplify. y + 6 squared"},"content":{"rendered":"\n

Rewrite without gibberish text and simplify. y + 6 squared<\/p>\n\n\n\n

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

Expression:<\/h3>\n\n\n\n

(y + 6)\u00b2<\/strong><\/p>\n\n\n\n

Correct Answer:<\/h3>\n\n\n\n

(y + 6)\u00b2 = y\u00b2 + 12y + 36<\/strong><\/p>\n\n\n\n

\n\n\n\n

Explanation <\/h3>\n\n\n\n

The expression (y + 6)\u00b2<\/strong> means that you are multiplying (y + 6)<\/strong> by itself. This is an example of squaring a binomial<\/strong>. A binomial is simply an algebraic expression with two terms, and squaring means raising it to the power of 2.<\/p>\n\n\n\n

Here’s how you expand it step by step: (y+6)2=(y+6)(y+6)(y + 6)^2 = (y + 6)(y + 6)<\/p>\n\n\n\n

Now apply the distributive property<\/strong> (also known as the FOIL method for binomials):<\/p>\n\n\n\n

    \n
  1. First:<\/strong> y\u00d7y=y2y \\times y = y^2<\/li>\n\n\n\n
  2. Outer:<\/strong> y\u00d76=6yy \\times 6 = 6y<\/li>\n\n\n\n
  3. Inner:<\/strong> 6\u00d7y=6y6 \\times y = 6y<\/li>\n\n\n\n
  4. Last:<\/strong> 6\u00d76=366 \\times 6 = 36<\/li>\n<\/ol>\n\n\n\n

    Now, add all the terms together: y2+6y+6y+36y^2 + 6y + 6y + 36<\/p>\n\n\n\n

    Combine like terms: y2+12y+36y^2 + 12y + 36<\/p>\n\n\n\n

    So, the simplified and correct expanded form of (y + 6)\u00b2<\/strong> is: y2+12y+36y^2 + 12y + 36<\/p>\n\n\n\n

    This follows a well-known formula in algebra: (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2<\/p>\n\n\n\n

    In this case, a = y<\/strong> and b = 6<\/strong>, so:<\/p>\n\n\n\n

      \n
    • a2=y2a^2 = y^2<\/li>\n\n\n\n
    • 2ab=2\u22c5y\u22c56=12y2ab = 2 \\cdot y \\cdot 6 = 12y<\/li>\n\n\n\n
    • b2=62=36b^2 = 6^2 = 36<\/li>\n<\/ul>\n\n\n\n

      Thus: (y+6)2=y2+12y+36(y + 6)^2 = y^2 + 12y + 36<\/p>\n\n\n\n

      Understanding how to expand binomials like this is essential in algebra and helps in solving quadratic equations, graphing parabolas, and simplifying expressions in higher-level math.<\/p>\n\n\n\n

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

      Rewrite without gibberish text and simplify. y + 6 squared The Correct Answer and Explanation is: Expression: (y + 6)\u00b2 Correct Answer: (y + 6)\u00b2 = y\u00b2 + 12y + 36 Explanation The expression (y + 6)\u00b2 means that you are multiplying (y + 6) by itself. This is an example of squaring a binomial. […]<\/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-219958","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/219958","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=219958"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/219958\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=219958"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=219958"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=219958"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}