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: 63

Answer

$a^3-ab^2+a^2b-b^3$

Work Step by Step

Using $(a+b)(c+d)=ab+ad+bc+bd$ or the FOIL Method, the product of the given expression, $ (a+b)(a^2-b^2) ,$ is \begin{array}{l}\require{cancel} a(a^2)+a(-b^2)+b(a^2)+b(-b^2) \\\\= a^3-ab^2+a^2b-b^3 .\end{array}
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