Which of the following expressions is equivalent to \u22124×3\u221212×3+9×2?<\/p>\n\n\n\n
\u200bx8<\/p>\n\n\n\n
\u22127×8<\/p>\n\n\n\n
\u22128×3+9×2<\/p>\n\n\n\n
\u221216×3+9×2<\/p>\n\n\n\n
\u221216×6+9×2<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To find the equivalent expression to (-4x^3 – 12x^3 + 9x^2), we need to simplify the original expression by combining like terms.<\/p>\n\n\n\n Thus, the simplified expression is (-16x^3 + 9x^2).<\/p>\n\n\n\n Now, let’s compare this result with the given options:<\/p>\n\n\n\n From our simplification, we can see that the expression (-16x^3 + 9x^2) matches one of the options exactly.<\/p>\n\n\n\n Therefore, the equivalent expression to (-4x^3 – 12x^3 + 9x^2) is: Which of the following expressions is equivalent to \u22124×3\u221212×3+9×2? \u200bx8 \u22127×8 \u22128×3+9×2 \u221216×3+9×2 \u221216×6+9×2 The Correct Answer and Explanation is: To find the equivalent expression to (-4x^3 – 12x^3 + 9x^2), we need to simplify the original expression by combining like terms. Step-by-step Simplification: Conclusion: Thus, the simplified expression is (-16x^3 + 9x^2). Compare with […]<\/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-156029","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156029","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=156029"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156029\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=156029"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=156029"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=156029"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step-by-step Simplification:<\/h3>\n\n\n\n
\n
The expression consists of two types of terms:<\/li>\n<\/ol>\n\n\n\n\n
\n
[
-4x^3 – 12x^3 = (-4 – 12)x^3 = -16x^3
]<\/li>\n\n\n\n
Now, we can rewrite the expression:
[
-16x^3 + 9x^2
]<\/li>\n<\/ol>\n\n\n\nConclusion:<\/h3>\n\n\n\n
Compare with the Options:<\/h3>\n\n\n\n
\n
Final Answer:<\/h3>\n\n\n\n
[
\\boxed{-16x^3 + 9x^2}
]<\/p>\n","protected":false},"excerpt":{"rendered":"