Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.5 - A General Factoring Strategy - Exercise Set - Page 463: 95



Work Step by Step

$ 7x^{5}y-7xy^{5}\qquad$... factor out the common term, $7xy$ $=7xy(x^{4}-y^{4})\qquad$...recognize the difference of two squares: $a^{2}-b^{2}=(a-b)(a+b)$ $=7xy(x^{2}+y^{2})(x^{2}-y^{2})\qquad$...recognize the difference of two squares: $a^{2}-b^{2}=(a-b)(a+b)$ $=7xy(x^{2}+y^{2})(x-y)(x+y)$
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