Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - Chapter 5 Test - Page 232: 11

Answer

$81x^{2}-25y^{2}$

Work Step by Step

We can use the rule $(a+b)(a-b)=a^{2}-b^{2}$ in the simplification of the expression as the expression $(9x+5y)(9x-5y)$ is in the same format as $(a+b)(a-b)$. $(9x+5y)(9x-5y)$ $=(9x)^{2}-(5y)^{2}$ $=81x^{2}-25y^{2}$
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