Chapter 6 - Section 6.1 - The Greatest Common Factor and Factoring by Grouping - Exercise Set - Page 427: 46

$9xy(3xy^2-2y+5x)$

Factoring the $GCF= 9xy ,$ the given expression, $ 27x^2y^3-18xy^2+45x^2y ,$ is equivalent to \begin{array}{l}\require{cancel} 9xy \left( \dfrac{27x^2y^3}{9xy}-\dfrac{18xy^2}{9xy}+\dfrac{45x^2y}{9xy} \right) \\\\= 9xy(3xy^2-2y+5x) .\end{array}