What is the difference of the polynomials?
(-2x3y\u00b2 + 4x\u00b2\u00b3-3xy) – (6xy – 5×23-
-6xy-2x3y\u00b2+9x2y\u00b3-3xy + y
-6x\u00b2-2x3y\u00b2- 2 – 3×4 – 5
-6x\u00b2y + 3x3y\u00b2 + 4x2y\u00b2 – 3xy + y5
-6xy-7x3y\u00b2+4x\u00b2y\u00b3-3xy-y5<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To find the difference of the polynomials, we need to subtract one polynomial from another. Let’s break down the process step-by-step.<\/p>\n\n\n\n The problem is:<\/p>\n\n\n\n [ We can organize this expression by grouping like terms (terms that have the same variable powers).<\/p>\n\n\n\n [ [ We now subtract the terms of the second polynomial from the first, making sure to distribute the negative sign to each term of the second polynomial.<\/p>\n\n\n\n Now, combine all the terms:<\/p>\n\n\n\n [ The difference of the polynomials is:<\/p>\n\n\n\n [ The key to subtracting polynomials is aligning like terms with the same variable powers. When subtracting polynomials, distribute the negative sign across all terms of the second polynomial. After combining the like terms, we obtain the simplified result.<\/p>\n\n\n\n This process ensures that every term is handled carefully, and we ensure the proper operation is applied to each term during the subtraction.<\/p>\n","protected":false},"excerpt":{"rendered":" What is the difference of the polynomials?(-2x3y\u00b2 + 4x\u00b2\u00b3-3xy) – (6xy – 5×23–6xy-2x3y\u00b2+9x2y\u00b3-3xy + y-6x\u00b2-2x3y\u00b2- 2 – 3×4 – 5-6x\u00b2y + 3x3y\u00b2 + 4x2y\u00b2 – 3xy + y5-6xy-7x3y\u00b2+4x\u00b2y\u00b3-3xy-y5 The Correct Answer and Explanation is: To find the difference of the polynomials, we need to subtract one polynomial from another. Let’s break down the process step-by-step. […]<\/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-164885","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/164885","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=164885"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/164885\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=164885"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=164885"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=164885"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
(-2x^3y^2 + 4x^2y^3 – 3xy) – (6xy – 5x^2y^3 – 6xy – 2x^3y^2 + 9x^2y^3 – 3xy + y – 6x^2 – 2x^3y^2 – 2 – 3x^4 – 5 – 6x^2y + 3x^3y^2 + 4x^2y^3 – 3xy + y^5 – 6xy – 7x^3y^2 + 4x^2y^3 – 3xy – y^5)
]<\/p>\n\n\n\nStep 1: Group similar terms<\/h3>\n\n\n\n
First Polynomial:<\/h4>\n\n\n\n
-2x^3y^2 + 4x^2y^3 – 3xy
]<\/p>\n\n\n\nSecond Polynomial:<\/h4>\n\n\n\n
6xy – 5x^2y^3 – 6xy – 2x^3y^2 + 9x^2y^3 – 3xy + y – 6x^2 – 2x^3y^2 – 2 – 3x^4 – 5 – 6x^2y + 3x^3y^2 + 4x^2y^3 – 3xy + y^5 – 6xy – 7x^3y^2 + 4x^2y^3 – 3xy – y^5
]<\/p>\n\n\n\nStep 2: Subtract the terms<\/h3>\n\n\n\n
\n
[
-2x^3y^2 – (-2x^3y^2 – 2x^3y^2 – 7x^3y^2 + 3x^3y^2) = -2x^3y^2 + 2x^3y^2 + 2x^3y^2 + 7x^3y^2 – 3x^3y^2 = -5x^3y^2
]<\/li>\n\n\n\n
[
4x^2y^3 – (9x^2y^3 – 5x^2y^3 + 4x^2y^3 + 4x^2y^3) = 4x^2y^3 – 9x^2y^3 + 5x^2y^3 – 4x^2y^3 – 4x^2y^3 = -4x^2y^3
]<\/li>\n\n\n\n
[
-3xy – (6xy + 6xy + 3xy + 3xy + 6xy) = -3xy – 6xy – 6xy – 3xy – 3xy – 6xy = -27xy
]<\/li>\n\n\n\n
[
y – 2 – 5 – 2 = y – 9
]<\/li>\n\n\n\n
[
-6x^2 = -6x^2
]<\/li>\n\n\n\n
[
-3x^4
]<\/li>\n\n\n\n
[
-y^5
]<\/li>\n\n\n\n
[
-6x^2y
]<\/li>\n<\/ul>\n\n\n\nStep 3: Combine the results<\/h3>\n\n\n\n
-5x^3y^2 – 4x^2y^3 – 27xy + y – 9 – 6x^2 – 3x^4 – y^5 – 6x^2y
]<\/p>\n\n\n\nFinal Answer:<\/h3>\n\n\n\n
-5x^3y^2 – 4x^2y^3 – 27xy + y – 9 – 6x^2 – 3x^4 – y^5 – 6x^2y
]<\/p>\n\n\n\nExplanation:<\/h3>\n\n\n\n