# Chapter 6 - Section 6.1 - The Greatest Common Factor and Factoring by Grouping - Exercise Set: 43

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

#### Work Step by Step

Factoring the $GCF= 3xy ,$ the given expression, $6x^3y^2+9xy ,$ is equivalent to \begin{array}{l}\require{cancel} 3xy \left( \dfrac{6x^3y^2}{3xy}+\dfrac{9xy}{3xy} \right) \\\\= 3xy(2x^2y+3) .\end{array}

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