{"id":280184,"date":"2025-08-04T15:29:33","date_gmt":"2025-08-04T15:29:33","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=280184"},"modified":"2025-08-04T15:29:37","modified_gmt":"2025-08-04T15:29:37","slug":"simplify-7","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/08\/04\/simplify-7\/","title":{"rendered":"Simplify.\u00a0"},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n

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

The correct answer is 2x\u00b2 + 15x – 24<\/strong>.<\/p>\n\n\n\n

To simplify the algebraic expression 2x(x + 6) + 3(x – 8), you must follow a systematic process involving the distributive property and combining like terms. This ensures that the expression is reduced to its simplest form.<\/p>\n\n\n\n

First, we apply the distributive property to each part of the expression. The distributive property states that a term multiplied by a sum or difference in parentheses is equal to the sum or difference of that term multiplied by each term inside the parentheses.<\/p>\n\n\n\n

Let’s start with the first term, 2x(x + 6). We need to multiply 2x by both terms inside the parentheses.<\/p>\n\n\n\n

    \n
  1. Multiply\u00a02x\u00a0by\u00a0x:\u00a02x * x = 2x\u00b2.<\/li>\n\n\n\n
  2. Multiply\u00a02x\u00a0by\u00a06:\u00a02x * 6 = 12x.
    Combining these results, the expansion of\u00a02x(x + 6)\u00a0is\u00a02x\u00b2 + 12x.<\/li>\n<\/ol>\n\n\n\n

    Next, we apply the same principle to the second term, 3(x – 8). We multiply 3 by both terms inside its parentheses.<\/p>\n\n\n\n

      \n
    1. Multiply\u00a03\u00a0by\u00a0x:\u00a03 * x = 3x.<\/li>\n\n\n\n
    2. Multiply\u00a03\u00a0by\u00a0-8:\u00a03 * -8 = -24.
      So, the expansion of\u00a03(x – 8)\u00a0is\u00a03x – 24.<\/li>\n<\/ol>\n\n\n\n

      Now, we substitute these expanded parts back into the original expression. The problem 2x(x + 6) + 3(x – 8) becomes (2x\u00b2 + 12x) + (3x – 24).<\/p>\n\n\n\n

      The final step is to combine the like terms. Like terms are terms that contain the same variable raised to the same power.<\/p>\n\n\n\n

        \n
      • The\u00a0x\u00b2\u00a0term is\u00a02x\u00b2, and there are no other\u00a0x\u00b2\u00a0terms to combine it with.<\/li>\n\n\n\n
      • The\u00a0x\u00a0terms are\u00a012x\u00a0and\u00a03x. We add their coefficients:\u00a012 + 3 = 15. This gives us\u00a015x.<\/li>\n\n\n\n
      • The constant term is\u00a0-24, which has no other constant terms to combine with.<\/li>\n<\/ul>\n\n\n\n

        By putting all the simplified parts together, we get the final answer: 2x\u00b2 + 15x – 24.<\/p>\n\n\n\n

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

        The Correct Answer and Explanation is: The correct answer is 2x\u00b2 + 15x – 24. To simplify the algebraic expression 2x(x + 6) + 3(x – 8), you must follow a systematic process involving the distributive property and combining like terms. This ensures that the expression is reduced to its simplest form. First, we apply the distributive […]<\/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-280184","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/280184","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=280184"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/280184\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=280184"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=280184"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=280184"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}