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: 23

Answer

$5ac(3ac^{2}-5c+1)$

Work Step by Step

The greatest common factor of $15a^{2}c^{3}-25ac^{2}+5ac$ is $5ac$. We can use the distributive property to factor out the greatest common factor. 1. $15a^{2}c^{3}-25ac^{2}+5ac$ 2. $5ac\times3ac^{2}+5ac\times-5c+5ac\times1$ 3. $5ac(3ac^{2}-5c+1)$
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