Chapter 6 - Section 6.1 - The Greatest Common Factor and Factoring by Grouping - Exercise Set - Page 427: 55

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

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}