Chapter 6 - Section 6.1 - The Greatest Common Factor and Factoring by Grouping - Exercise Set - Page 427: 48

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

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