{"id":272051,"date":"2025-07-26T09:25:33","date_gmt":"2025-07-26T09:25:33","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=272051"},"modified":"2025-07-26T09:25:39","modified_gmt":"2025-07-26T09:25:39","slug":"select-the-simplified-form-of-this-expression","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/26\/select-the-simplified-form-of-this-expression\/","title":{"rendered":"Select the simplified form of this expression"},"content":{"rendered":"\n

Select the simplified form of this expression.
3x ^ 2 – 5y + 2x ^ 2 + 8y
Click on your answer below:
A. 6×4 – 40y2
B. 5×4 + 3y\u00b2
C. 5×2-3y
D. 5×2 + 3y
E. 6×2 – 40y<\/p>\n\n\n\n

The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n

The correct answer is D. 5x\u00b2 + 3y<\/strong>.<\/p>\n\n\n\n

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

To simplify the expression 3×2\u22125y+2×2+8y3x^2 – 5y + 2x^2 + 8y, follow these steps:<\/p>\n\n\n\n

    \n
  1. Group like terms<\/strong>:\n
      \n
    • The terms involving x2x^2 are 3x23x^2 and 2x22x^2. These can be combined because they both involve x2x^2.<\/li>\n\n\n\n
    • The terms involving yy are \u22125y-5y and 8y8y. These can also be combined because they both involve yy.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • Combine the like terms<\/strong>:\n
        \n
      • Combine the x2x^2-terms: 3×2+2×2=5x23x^2 + 2x^2 = 5x^2<\/li>\n\n\n\n
      • Combine the yy-terms: \u22125y+8y=3y-5y + 8y = 3y<\/li>\n<\/ul>\n<\/li>\n\n\n\n
      • Write the simplified expression<\/strong>:
        After combining like terms, the expression becomes: 5×2+3y5x^2 + 3y<\/li>\n<\/ol>\n\n\n\n

        Why other options are incorrect:<\/h3>\n\n\n\n
          \n
        • A. 6x\u2074 – 40y\u00b2<\/strong>: This answer incorrectly increases the powers of xx and yy, which isn’t supported by the original terms in the expression.<\/li>\n\n\n\n
        • B. 5x\u2074 + 3y\u00b2<\/strong>: Again, this answer incorrectly increases the powers of both xx and yy, whereas the original powers are squared (x2x^2 and yy).<\/li>\n\n\n\n
        • C. 5x\u00b2 – 3y<\/strong>: This answer incorrectly combines the yy-terms as \u22123y-3y instead of +3y+3y.<\/li>\n\n\n\n
        • E. 6x\u00b2 – 40y<\/strong>: The coefficient of the x2x^2-term is incorrect, as it should be 5, not 6. Also, the yy-term is incorrectly combined.<\/li>\n<\/ul>\n\n\n\n

          Therefore, the correct simplified form is 5x\u00b2 + 3y<\/strong>, which corresponds to answer D<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"

          Select the simplified form of this expression.3x ^ 2 – 5y + 2x ^ 2 + 8yClick on your answer below:A. 6×4 – 40y2B. 5×4 + 3y\u00b2C. 5×2-3yD. 5×2 + 3yE. 6×2 – 40y The correct answer and explanation is: The correct answer is D. 5x\u00b2 + 3y. Explanation: To simplify the expression 3×2\u22125y+2×2+8y3x^2 – […]<\/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-272051","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/272051","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=272051"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/272051\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=272051"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=272051"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=272051"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}