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 - Page 347: 19

Answer

$5x^2y^4z^2(5xy^2- 3x^2z^2+ 5yz)$.

Work Step by Step

The given expression is $=25x^3y^6z^2-15x^4y^4z^4+25x^2y^5z^3$ The GCF of the given expression is $5x^2y^4z^2$. Factor the GCF. $=5x^2y^4z^2\cdot 5xy^2-5x^2y^4z^2\cdot 3x^2z^2+5x^2y^4z^2\cdot 5yz$ Factor out the GCF from each term. $=5x^2y^4z^2(5xy^2- 3x^2z^2+ 5yz)$.
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