Answer
$9xy(-2y^{2}+3x^{3})$
Work Step by Step
We are given the polynomial $-18xy^{3}+27x^{4}y$. The GCF of all terms is $9xy$, so we can factor out $9xy$ from both terms.
$9xy(-2y^{2})+9xy(3x^{3})$
Next, we can use the distributive property.
$9xy(-2y^{2}+3x^{3})$