{"id":225712,"date":"2025-06-04T11:59:51","date_gmt":"2025-06-04T11:59:51","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=225712"},"modified":"2025-06-04T11:59:53","modified_gmt":"2025-06-04T11:59:53","slug":"r-2x-8-8x-4-q-t-s-l","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/04\/r-2x-8-8x-4-q-t-s-l\/","title":{"rendered":"R 2x + 8 8x – 4 Q T S l"},"content":{"rendered":"\n
R 2x + 8 8x – 4 Q T S l<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
Your question seems to involve an algebraic expression, possibly an equation or a simplification problem. However, the expression you’ve given is incomplete or unclear:<\/p>\n\n\n\n
\n
“R 2x + 8 8x – 4 Q T S”<\/strong><\/p>\n<\/blockquote>\n\n\n\n
Let\u2019s try to interpret it in a meaningful way.<\/p>\n\n\n\n
It might be that you’re referring to simplifying<\/strong> or solving<\/strong> something like:<\/p>\n\n\n\n
Possible Intended Expression:<\/h3>\n\n\n\n
(2x + 8)(8x – 4)<\/strong> This is a product of two binomials and can be expanded using the distributive property (FOIL method).<\/p>\n\n\n\n\n\n\n\n
Step-by-step Solution:<\/h3>\n\n\n\n
(2x + 8)(8x – 4)<\/strong><\/p>\n\n\n\n
Use the distributive property (FOIL):<\/p>\n\n\n\n
To simplify an algebraic expression involving the product of two binomials, we apply the distributive property<\/strong>\u2014commonly remembered by the acronym FOIL<\/strong> (First, Outer, Inner, Last). In this case, we have:<\/p>\n\n\n\n
(2x + 8)(8x – 4)<\/strong><\/p>\n\n\n\n
The process involves multiplying each term in the first binomial by each term in the second. The first terms, 2x and 8x, multiply to give 16x\u00b2<\/strong>, which is the highest degree term and represents the quadratic part of the expression. Next, we multiply the outer terms: 2x and -4, giving -8x<\/strong>. This represents one part of the linear component.<\/p>\n\n\n\n
Then we handle the inner terms: 8 and 8x, resulting in 64x<\/strong>, which adds to the linear term. Lastly, we multiply the constants (last terms) 8 and -4 to get -32<\/strong>, which is the constant in the final simplified expression.<\/p>\n\n\n\n
After computing all four products, we combine like terms. The two middle terms, -8x and 64x, are like terms and sum to 56x<\/strong>. So the simplified expression becomes:<\/p>\n\n\n\n
16x\u00b2 + 56x – 32<\/strong><\/p>\n\n\n\n
This result is a quadratic trinomial in standard form, which is ax\u00b2 + bx + c<\/strong>, where:<\/p>\n\n\n\n
\n
a = 16<\/strong> (coefficient of x\u00b2),<\/li>\n\n\n\n
b = 56<\/strong> (coefficient of x),<\/li>\n\n\n\n
c = -32<\/strong> (constant).<\/li>\n<\/ul>\n\n\n\n
This form is useful in algebra for factoring, solving quadratic equations, or graphing the corresponding parabola.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"
R 2x + 8 8x – 4 Q T S l The Correct Answer and Explanation is: Your question seems to involve an algebraic expression, possibly an equation or a simplification problem. However, the expression you’ve given is incomplete or unclear: “R 2x + 8 8x – 4 Q T S” Let\u2019s try to interpret […]<\/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-225712","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225712","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=225712"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225712\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=225712"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=225712"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=225712"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
<\/figure>\n","protected":false},"excerpt":{"rendered":"