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: 51

Answer

$(y-6)(x+2)$

Work Step by Step

Regroup the terms to obtain: $=(xy-6x)+(2y-12)$ Factor out the greatest common factor of each group to obtain: $=x(y-6) + 2(y-6)$ The $GCF$ for the two terms is a binomial, $(y-6)$. 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: $=(y-6)(x+2)$
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