Which products result in a difference of squares? check all that apply. (5z 3)(\u20135z \u2013 3) (w \u2013 2.5)(w 2.5) (8g 1)(8g 1) (\u20134v \u2013 9)(\u20134v 9) (6y 7)(7y \u2013 6) (p \u2013 5)(p \u2013 5)<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n The difference of squares occurs when two binomials are multiplied, and the product is a result of subtracting squares of terms, i.e., ((a – b)(a + b) = a^2 – b^2). Let\u2019s examine each product and check if it results in a difference of squares:<\/p>\n\n\n\n The products that result in a difference of squares are:<\/p>\n\n\n\n Which products result in a difference of squares? check all that apply. (5z 3)(\u20135z \u2013 3) (w \u2013 2.5)(w 2.5) (8g 1)(8g 1) (\u20134v \u2013 9)(\u20134v 9) (6y 7)(7y \u2013 6) (p \u2013 5)(p \u2013 5) The Correct Answer and Explanation is : The difference of squares occurs when two binomials are multiplied, and the […]<\/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-162409","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162409","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=162409"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162409\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=162409"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=162409"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=162409"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
This expression represents a difference of squares because it fits the form ((a – b)(a + b) = a^2 – b^2). In this case:<\/li>\n<\/ol>\n\n\n\n\n
Therefore, this product is a difference of squares.<\/li>\n<\/ul>\n\n\n\n\n
This is another difference of squares, as it has the form ((a – b)(a + b)):<\/li>\n<\/ol>\n\n\n\n\n
So, this product is a difference of squares.<\/li>\n<\/ul>\n\n\n\n\n
This expression is not<\/strong> a difference of squares. It represents the square of a binomial, i.e., ((a + b)(a + b) = a^2 + 2ab + b^2), not the difference between squares.<\/li>\n\n\n\n
This product is a difference of squares, as it follows the form ((a – b)(a + b)):<\/li>\n<\/ol>\n\n\n\n\n
Hence, this is a difference of squares.<\/li>\n<\/ul>\n\n\n\n\n
This is not<\/strong> a difference of squares. The binomials do not follow the form ((a – b)(a + b)) because both terms involve different variables and constants.<\/li>\n\n\n\n
This expression is also not<\/strong> a difference of squares. It represents the square of the binomial ((p – 5)^2 = p^2 – 10p + 25).<\/li>\n<\/ol>\n\n\n\nConclusion:<\/h3>\n\n\n\n
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