Factorise fully 12x-8<\/p>\n\n\n\n
The correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To fully factorize the expression ( 12x – 8 ), follow these steps:<\/p>\n\n\n\n To factor the expression, the first step is identifying the greatest common factor (GCF) of the two terms, ( 12x ) and ( 8 ).<\/p>\n\n\n\n Thus, the GCF of ( 12x – 8 ) is 4.<\/p>\n\n\n\n Once we have the GCF (4), we factor it out from both terms:<\/p>\n\n\n\n [ After factoring out the GCF, the expression inside the parentheses is ( 3x – 2 ). There are no further common factors in ( 3x – 2 ), meaning the expression is now fully factorized.<\/p>\n\n\n\n [ Factoring is a key algebraic technique used to simplify expressions or solve equations. The process of factoring involves finding a common factor (either numerical or involving variables) in terms of an expression and “factoring it out” by dividing each term by the common factor.<\/p>\n\n\n\n In this example, the expression ( 12x – 8 ) is made up of two terms: ( 12x ) and ( 8 ). The first step in factoring is to find the greatest common factor (GCF), which is 4. By factoring out 4, we rewrite the expression in its simplest form, ( 4(3x – 2) ).<\/p>\n\n\n\n This step is crucial because factoring simplifies expressions, making it easier to manipulate or solve them in equations.<\/p>\n","protected":false},"excerpt":{"rendered":" Factorise fully 12x-8 The correct Answer and Explanation is: To fully factorize the expression ( 12x – 8 ), follow these steps: Step 1: Find the greatest common factor (GCF) To factor the expression, the first step is identifying the greatest common factor (GCF) of the two terms, ( 12x ) and ( 8 ). […]<\/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-149565","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149565","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=149565"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149565\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=149565"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=149565"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=149565"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Find the greatest common factor (GCF)<\/h3>\n\n\n\n
\n
Step 2: Factor out the GCF<\/h3>\n\n\n\n
12x – 8 = 4(3x – 2)
]<\/p>\n\n\n\nStep 3: Check the result<\/h3>\n\n\n\n
Final Answer:<\/h3>\n\n\n\n
12x – 8 = 4(3x – 2)
]<\/p>\n\n\n\nExplanation<\/h3>\n\n\n\n