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: 55

Answer

$-6x^2y(2xy+3x-4)$

Work Step by Step

Factoring the negative $GCF= -6x^2y ,$ the given expression, $ -12x^3y^2-18x^3y+24x^2y ,$ is equivalent to \begin{array}{l}\require{cancel} -6x^2y \left( \dfrac{-12x^3y^2}{-6x^2y}-\dfrac{18x^3y}{-6x^2y}+\dfrac{24x^2y}{-6x^2y} \right) \\\\= -6x^2y(2xy+3x-4) .\end{array}
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