Expand and simplify (x + 9)(x – 2)<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To expand and simplify the expression ((x + 9)(x – 2)), we will use the distributive property, commonly known as the FOIL method for binomials, which stands for First, Outer, Inner, and Last.<\/p>\n\n\n\n Now, combine all these results: Next, we combine the like terms (-2x) and (9x): Thus, the expanded and simplified form of the expression ((x + 9)(x – 2)) is: Expanding binomials like ((x + 9)(x – 2)) involves distributing each term in the first binomial by each term in the second binomial. This method ensures that we account for all possible products that arise from combining the two expressions.<\/p>\n\n\n\n The process begins with the \u201cFirst\u201d terms, which give us the leading term of the quadratic, (x^2). Then, the \u201cOuter\u201d and \u201cInner\u201d terms yield the linear components of the expression, contributing to the (x) term. Finally, the \u201cLast\u201d multiplication produces the constant term.<\/p>\n\n\n\n Once all products are calculated, combining like terms is essential to simplify the expression fully. In this case, (-2x) and (9x) are like terms and can be combined into (7x).<\/p>\n\n\n\n The final result, (x^2 + 7x – 18), is a quadratic expression that can be useful in various applications, such as graphing parabolas or solving equations. Understanding this expansion technique lays a foundation for working with polynomials and algebraic expressions more generally.<\/p>\n","protected":false},"excerpt":{"rendered":" Expand and simplify (x + 9)(x – 2) The Correct Answer and Explanation is : To expand and simplify the expression ((x + 9)(x – 2)), we will use the distributive property, commonly known as the FOIL method for binomials, which stands for First, Outer, Inner, and Last. Now, combine all these results:[x^2 – 2x […]<\/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-156755","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156755","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=156755"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156755\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=156755"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=156755"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=156755"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
[
x \\cdot x = x^2
]<\/li>\n\n\n\n
[
x \\cdot (-2) = -2x
]<\/li>\n\n\n\n
[
9 \\cdot x = 9x
]<\/li>\n\n\n\n
[
9 \\cdot (-2) = -18
]<\/li>\n<\/ol>\n\n\n\n
[
x^2 – 2x + 9x – 18
]<\/p>\n\n\n\n
[
x^2 + 7x – 18
]<\/p>\n\n\n\n
[
\\boxed{x^2 + 7x – 18}
]<\/p>\n\n\n\nExplanation<\/h3>\n\n\n\n