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: 17

Answer

$-2p^{2}q^{4}(2p+q)$

Work Step by Step

The greatest common factor of $-4p^{3}q^{4}-2p^{2}q^{5}$ is $-2p^{2}q^{4}$. We can use the distributive property to factor out the greatest common factor. 1. $-4p^{3}q^{4}-2p^{2}q^{5}$ 2. $-2p^{2}q^{4}\times 2p+(-2p^{2}q^{4}\times q)$ 3. $-2p^{2}q^{4}(2p+q)$
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