Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-2 Multiplying and Factoring - Practice and Problem-Solving Exercises: 37

Answer

$17xy^{3}(y+3x)$

Work Step by Step

List the prime factors of each term. Identify the factors common to all terms. $17xy^{4}=(17)\cdot(x)\cdot(y\cdot y\cdot y)\cdot y$ $51x^{2}y^{3}=3\cdot(17)\cdot(x)\cdot x\cdot(y\cdot y\cdot y)$ GCF= $17xy^{3}$ $17xy^{4}+51x^{2}y^{3}\qquad...$factor out the GCF $=17xy^{3}(y)+17xy^{3}(3x)\qquad...$apply the Distributive Property. $=17xy^{3}(y+3x)$
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