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: 46

Answer

$9xy(3xy^2-2y+5x)$

Work Step by Step

Factoring the $GCF= 9xy ,$ the given expression, $ 27x^2y^3-18xy^2+45x^2y ,$ is equivalent to \begin{array}{l}\require{cancel} 9xy \left( \dfrac{27x^2y^3}{9xy}-\dfrac{18xy^2}{9xy}+\dfrac{45x^2y}{9xy} \right) \\\\= 9xy(3xy^2-2y+5x) .\end{array}
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