Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 5 - Section 5.1 - Greatest Common Factors and Factoring by Grouping - 5.1 Exercises - Page 329: 8



Work Step by Step

The greatest common factor of a group of terms is the greatest factor that evenly divides into all terms in the group. In this case, $z^{2}(m+n)^{4}$ is the greatest common factor, because it is the largest factor that divides evenly into both terms. $7z^{2}(m+n)^{4}\div z^{2}(m+n)^{4}=7$ $9z^{3}(m+n)^{5}\div z^{2}(m+n)^{4}=9z(m+n)$
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