Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.1 - The Greatest Common Factor and Factoring by Grouping - Exercise Set: 44

Answer

$2xy(2xy^2+3)$

Work Step by Step

Factoring the $GCF= 2xy ,$ the given expression, $ 4x^2y^3+6xy ,$ is equivalent to \begin{array}{l}\require{cancel} 2xy \left( \dfrac{4x^2y^3}{2xy}+\dfrac{6xy}{2xy} \right) \\\\= 2xy(2xy^2+3) .\end{array}
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