To simplify 27x+15y27x + 15y27x+15y using the distributive property with factoring, we want to factor out the greatest common factor (GCF) from the two terms. Here’s a step-by-step explanation:<\/p>\n\n\n\n
Step 1: Identify the greatest common factor (GCF)<\/h3>\n\n\n\n
Look at the coefficients of the terms, which are 27 and 15. The GCF of 27 and 15 is 3 because 3 is the largest number that divides both 27 and 15 evenly.<\/p>\n\n\n\n
Step 2: Factor out the GCF<\/h3>\n\n\n\n
Now, we factor out 3 from each term: 27x+15y=3(9x)+3(5y)27x + 15y = 3(9x) + 3(5y)27x+15y=3(9x)+3(5y)<\/p>\n\n\n\n
We can see that each term now has a 3 factored out. The remaining terms inside the parentheses are 9x9x9x and 5y5y5y.<\/p>\n\n\n\n
Step 3: Write the equivalent expression<\/h3>\n\n\n\n
After factoring out the GCF (3), we can now write the expression as: 27x+15y=3(9x+5y)27x + 15y = 3(9x + 5y)27x+15y=3(9x+5y)<\/p>\n\n\n\n
So, the equivalent expression is 3(9x+5y)3(9x + 5y)3(9x+5y).<\/p>\n\n\n\n
Explanation:<\/h3>\n\n\n\n
The distributive property states that for any numbers aaa, bbb, and ccc, we have: a(b+c)=ab+aca(b + c) = ab + aca(b+c)=ab+ac<\/p>\n\n\n\n
In our case, we factored out the 3, and the distributive property allows us to re-write the expression in factored form as 3(9x+5y)3(9x + 5y)3(9x+5y).<\/p>\n\n\n\n
This process is useful because it helps simplify the expression by factoring out common terms, which is often helpful in algebraic manipulations, especially when solving equations or simplifying expressions.<\/p>\n\n\n\n
So, the equivalent expression is: 27x+15y=3(9x+5y)27x + 15y = 3(9x + 5y)27x+15y=3(9x+5y)<\/p>\n\n\n\n Use the distributive property with factoring to find the equivalent expression. 27x + 15y = ? (9x + ? y) Please help! I don’t understand! The Correct Answer and Explanation is: To simplify 27x+15y27x + 15y27x+15y using the distributive property with factoring, we want to factor out the greatest common factor (GCF) from the two […]<\/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-247987","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/247987","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=247987"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/247987\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=247987"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=247987"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=247987"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-1074.jpeg\")
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