Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set - Page 289: 55



Work Step by Step

Using the product of the sum and difference of like terms, $(a+b)(a-b)=a^2-b^2$, the given expression is equivalent to \begin{align*} & (5x^3+2y)(5x^3-2y) \\\\&= (5x^3)^2-(2y)^2 \\\\&= 25x^6-4y^2 .\end{align*}
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