# How do you factor 16x^2 y^2 +8xy^2 -20xy?

Oct 19, 2015

$4 x y \left(4 x y + 2 y - 5\right)$

#### Explanation:

To factor $16 {x}^{2} {y}^{2} + 8 x {y}^{2} - 20 x y$
begin with the greatest factor common to each term
for this expression the GCF (greatest common factor) is
$4 x y$

This can be placed outside of the parenthesis to determine the
associate factors to complete the factoring.

$4 x y \left(4 x y\right) = 16 {x}^{2} {y}^{2}$
$4 x y \left(2 y\right) = 8 x {y}^{2}$
$4 x y \left(5\right) = 20 x y$

Making the factors
$4 x y \left(4 x y + 2 y - 5\right)$