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: 53


$$9x^{2} + 30xy + 25y^{2}$$

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: $$(3x + 5y)(3x + 5y)$$ 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: $$9x^{2} + 15xy + 15xy + 25y^{2}$$ Now, we combine like terms: $$9x^{2} + 30xy + 25y^{2}$$
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