Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Section 5.4 - Polynomials in Several Variables - Exercise Set - Page 375: 15



Work Step by Step

Removing the grouping symbols and then combining like terms, the given expression, $ (x^3+7xy-5y^2)-(6x^3-xy+4y^2) ,$ simplifies to \begin{array}{l}\require{cancel} x^3+7xy-5y^2-6x^3+xy-4y^2 \\\\= (x^3-6x^3)+(7xy+xy)+(-5y^2-4y^2) \\\\= -5x^3+8xy-9y^2 .\end{array}
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