Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.3 - Greatest Common Factors and Factoring by Grouping - Exercise Set: 52

Answer

$(y-5)(x+9)$

Work Step by Step

Regroup the terms to obtain: $=(xy-5x)+(9y-45)$ Factor out the greatest common factor of each group to obtain: $=x(y-5) + 9(y-5)$ The $GCF$ for the two terms is a binomial, $(y-5)$. Even though it is a binomial, we can factor it out just like we would factor out a number or a variable. Thus, we factor out the binomial to obtain: $=(y-5)(x+9)$
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