{"id":203477,"date":"2025-03-19T19:22:22","date_gmt":"2025-03-19T19:22:22","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=203477"},"modified":"2025-03-19T19:22:24","modified_gmt":"2025-03-19T19:22:24","slug":"what-is-the-simplified-form-of-the-following-expression","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/19\/what-is-the-simplified-form-of-the-following-expression\/","title":{"rendered":"What is the simplified form of the following expression"},"content":{"rendered":"\n

What is the simplified form of the following expression? Assume x0 4 2x 4 24×3 4 24×3 4 16x 4 Mark this and return Save a<\/p>\n\n\n\n

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

It looks like your mathematical expression might have formatting issues. Could you clarify the expression so I can simplify it accurately? It seems like you are referring to a polynomial with terms involving xx.<\/p>\n\n\n\n

If you meant: 4×4+24×3+24×3+16x44x^4 + 24x^3 + 24x^3 + 16x^4<\/p>\n\n\n\n

We can simplify by combining like terms:<\/p>\n\n\n\n

    \n
  1. Combine the x4x^4 terms: 4×4+16×4=20x44x^4 + 16x^4 = 20x^4<\/li>\n\n\n\n
  2. Combine the x3x^3 terms: 24×3+24×3=48x324x^3 + 24x^3 = 48x^3<\/li>\n<\/ol>\n\n\n\n

    Thus, the simplified form of the given expression is: 20×4+48x320x^4 + 48x^3<\/p>\n\n\n\n

    Explanation (300 Words):<\/h3>\n\n\n\n

    Polynomial expressions consist of terms with variables raised to different powers. To simplify a polynomial, we group and combine like terms\u2014terms that have the same variable raised to the same exponent.<\/p>\n\n\n\n

    In this case, we were given: 4×4+24×3+24×3+16x44x^4 + 24x^3 + 24x^3 + 16x^4<\/p>\n\n\n\n

    The first step was identifying like terms. The terms with x4x^4 are 4x44x^4 and 16x416x^4, which add up to 20x420x^4. The terms with x3x^3 are 24x324x^3 and another 24x324x^3, summing to 48x348x^3.<\/p>\n\n\n\n

    After combining, the final expression is: 20×4+48x320x^4 + 48x^3<\/p>\n\n\n\n

    This simplified form makes calculations easier and is useful in algebraic manipulations such as factoring, solving equations, and calculus applications. Simplification is a fundamental skill in algebra that helps in understanding and working with mathematical models efficiently.<\/p>\n\n\n\n

    Now, I will generate an image illustrating this simplification.<\/p>\n\n\n\n

    Here is an illustration showing the step-by-step simplification of the polynomial expression. Let me know if you need any modifications!<\/p>\n\n\n\n

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

    What is the simplified form of the following expression? Assume x0 4 2x 4 24×3 4 24×3 4 16x 4 Mark this and return Save a The correct answer and explanation is: It looks like your mathematical expression might have formatting issues. Could you clarify the expression so I can simplify it accurately? It seems […]<\/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-203477","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203477","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=203477"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203477\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=203477"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=203477"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=203477"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}