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: 18

Answer

$-3z^{3}w^{2}(z^{2}+6w^{2})$

Work Step by Step

The greatest common factor of $-3z^{5}w^{2}-18z^{3}w^{4}$ is $-3z^{3}w^{2}$. We can use the distributive property to factor out the greatest common factor. 1. $-3z^{5}w^{2}-18z^{3}w^{4}$ 2. $-3z^{3}w^{2}\times z^{2}+(-3z^{3}w^{2}\times 6w^{2})$ 3. $-3z^{3}w^{2}(z^{2}+6w^{2})$
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