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 - Review Exercises - Page 415: 54

Answer

$$x^{2}y^{2} - 14xy + 49$$

Work Step by Step

The first thing we want to do with this problem is to expand the expression so that we can see the terms clearly: $$(xy - 7)(xy - 7)$$ We use the FOIL method to evaluate this expression. We multiply each term within the first set of parentheses with each term in the second set of parentheses: $$x^{2}y^{2} - 7xy - 7xy + 49$$ Now, we combine like terms: $$x^{2}y^{2} - 14xy + 49$$
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