Divide (2xy^2-8x^2y-4x^2y^2)/(-2xy)

$\frac{2 x y^{2} - 8 x^{2} y - 4 x^{2} y^{2}}{- 2 x y}$

Factor $2 x y$ out of $2 x y^{2} - 8 x^{2} y - 4 x^{2} y^{2}$ .

Factor $2 x y$ out of $2 x y^{2}$ .

$\frac{2 x y (y) - 8 x^{2} y - 4 x^{2} y^{2}}{- 2 x y}$

Factor $2 x y$ out of $- 8 x^{2} y$ .

$\frac{2 x y (y) + 2 x y (- 4 x) - 4 x^{2} y^{2}}{- 2 x y}$

Factor $2 x y$ out of $- 4 x^{2} y^{2}$ .

$\frac{2 x y (y) + 2 x y (- 4 x) + 2 x y (- 2 x y)}{- 2 x y}$

Factor $2 x y$ out of $2 x y (y) + 2 x y (- 4 x)$ .

$\frac{2 x y (y - 4 x) + 2 x y (- 2 x y)}{- 2 x y}$

Factor $2 x y$ out of $2 x y (y - 4 x) + 2 x y (- 2 x y)$ .

$\frac{2 x y (y - 4 x - 2 x y)}{- 2 x y}$

Cancel the common factor of $2$ and $- 2$ .

Factor $2$ out of $2 x y (y - 4 x - 2 x y)$ .

$\frac{2 (x y (y - 4 x - 2 x y))}{- 2 x y}$

Cancel the common factors.

Factor $2$ out of $- 2 x y$ .

$\frac{2 (x y (y - 4 x - 2 x y))}{2 (- x y)}$

Cancel the common factor.

$\frac{2 (x y (y - 4 x - 2 x y))}{2 (- x y)}$

Rewrite the expression.

$\frac{x y (y - 4 x - 2 x y)}{- x y}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x y (y - 4 x - 2 x y)}{- x y}$

Rewrite the expression.

$\frac{y (y - 4 x - 2 x y)}{- 1 y}$

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{y (y - 4 x - 2 x y)}{- 1 y}$

Rewrite the expression.

$\frac{y - 4 x - 2 x y}{- 1}$

Move the negative one from the denominator of $\frac{y - 4 x - 2 x y}{- 1}$ .

$- 1 \cdot (y - 4 x - 2 x y)$

Rewrite $- 1 \cdot (y - 4 x - 2 x y)$ as $- (y - 4 x - 2 x y)$ .

$- (y - 4 x - 2 x y)$

Apply the distributive property.

$- y - (- 4 x) - (- 2 x y)$

Simplify.

Multiply $- 4$ by $- 1$ .

$- y + 4 x - (- 2 x y)$

Multiply $- 2$ by $- 1$ .

$- y + 4 x + 2 (x y)$

$- y + 4 x + 2 x y$