# How do you simplify  5xy - 6x^2y^2 + 4x^2y^2 - 2xy?

Jun 13, 2017

See a solution process below:

#### Explanation:

First, group and combine like terms:

$5 x y - 6 {x}^{2} {y}^{2} + 4 {x}^{2} {y}^{2} - 2 x y \implies$

$- 6 {x}^{2} {y}^{2} + 4 {x}^{2} {y}^{2} + 5 x y - 2 x y \implies$

$\left(- 6 + 4\right) {x}^{2} {y}^{2} + \left(5 - 2\right) x y \implies$

$- 2 {x}^{2} {y}^{2} + 3 x y$

Now, factor an $x y$ out of each term:

$\left(x y \cdot - 2 x y\right) + \left(3 \cdot x y\right) \implies$

$x y \left(- 2 x y + 3\right)$

Jun 13, 2017

$- x y \left(2 x y - 3\right)$

#### Explanation:

You would collect equal variables together

$\left(5 x y - 2 x y\right) + \left(- 6 {x}^{2} {y}^{2} + 4 {x}^{2} {y}^{2}\right)$

Simplify it

$5 x y - 2 x y = 3 x y$
$- 6 {x}^{2} {y}^{2} + 4 {x}^{2} {y}^{2} = - 2 {x}^{2} {y}^{2}$

$3 x y - 2 {x}^{2} {y}^{2}$

Factorise it by taking a common factor which is $- x y$

$- x y \left(2 x y - 3\right)$