Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - 4.7 Polynomials in Several Variables - 4.7 Exercise Set: 64

Answer

$p^6-25q^2$

Work Step by Step

Using $(a+b)(a-b)=a^2-b^2$ or the product of the sum and difference of like terms, the given expression, $ (p^3-5q)(p^3+5q) ,$ simplifies to \begin{array}{l}\require{cancel} (p^3)^2-(5q)^2 \\\\= p^6-25q^2 .\end{array}
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