Answer
$4xy(-5x+4y^{2})$
Work Step by Step
We are given the polynomial $-20x^{2}y+16xy^{3}$. The GCF of all terms is $4xy$, so we can factor out $4xy$ from both terms.
$4xy(-5x)+4xy(4y^{2})$
Next, we can use the distributive property.
$4xy(-5x+4y^{2})$