Express (x + 9)2 as a trinomial in standard form.<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To express ((x + 9)^2) as a trinomial in standard form, we will expand the expression step-by-step using the formula for squaring a binomial, which states that:<\/p>\n\n\n\n [ In our case, (a = x) and (b = 9). We can now apply the formula:<\/p>\n\n\n\n Now we can combine these results into a single expression:<\/p>\n\n\n\n [ So, the trinomial in standard form is:<\/p>\n\n\n\n [ To understand the expansion process, it’s essential to recognize what squaring a binomial entails. When you square a binomial, you are multiplying the binomial by itself, which requires using the distributive property. This means each term in the first binomial multiplies each term in the second binomial.<\/p>\n\n\n\n For ((x + 9)(x + 9)), we perform the following calculations:<\/p>\n\n\n\n Next, we combine the like terms (9x) and (9x) to get (18x). The final expression, (x^2 + 18x + 81), is in standard form, which is characterized by the order of terms from highest degree to lowest degree (in this case, (x^2), (x), and the constant).<\/p>\n\n\n\n This method of expansion is not only fundamental for algebra but also helps in various applications, such as solving quadratic equations or graphing parabolas.<\/p>\n","protected":false},"excerpt":{"rendered":" Express (x + 9)2 as a trinomial in standard form. The Correct Answer and Explanation is : To express ((x + 9)^2) as a trinomial in standard form, we will expand the expression step-by-step using the formula for squaring a binomial, which states that: [(a + b)^2 = a^2 + 2ab + b^2] In our […]<\/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-153547","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/153547","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=153547"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/153547\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=153547"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=153547"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=153547"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
(a + b)^2 = a^2 + 2ab + b^2
]<\/p>\n\n\n\n\n
[
a^2 = x^2
]<\/li>\n\n\n\n
[
2ab = 2 \\cdot x \\cdot 9 = 18x
]<\/li>\n\n\n\n
[
b^2 = 9^2 = 81
]<\/li>\n<\/ol>\n\n\n\n
(x + 9)^2 = x^2 + 18x + 81
]<\/p>\n\n\n\n
x^2 + 18x + 81
]<\/p>\n\n\n\nExplanation<\/h3>\n\n\n\n
\n