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: 20

Answer

$7x^3-x^2y+xy^2-3y^3$

Work Step by Step

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