Chapter 6 - Section 6.1 - The Greatest Common Factor and Factoring by Grouping - Exercise Set - Page 427: 53

$-2ab(2a^2b-3)$

Factoring the negative $GCF= -2ab ,$ the given expression, $ -4a^3b^2+6ab ,$ is equivalent to \begin{array}{l}\require{cancel} -2ab \left( \dfrac{-4a^3b^2}{-2ab}+\dfrac{6ab}{-2ab} \right) \\\\= -2ab(2a^2b-3) .\end{array}