Divide (15x^2y^2+5x^2y-10xy^2)/(-xy)

$\frac{15 x^{2} y^{2} + 5 x^{2} y - 10 x y^{2}}{- x y}$

Factor $5 x y$ out of $15 x^{2} y^{2} + 5 x^{2} y - 10 x y^{2}$ .

Factor $5 x y$ out of $15 x^{2} y^{2}$ .

$\frac{5 x y (3 x y) + 5 x^{2} y - 10 x y^{2}}{- x y}$

Factor $5 x y$ out of $5 x^{2} y$ .

$\frac{5 x y (3 x y) + 5 x y (x) - 10 x y^{2}}{- x y}$

Factor $5 x y$ out of $- 10 x y^{2}$ .

$\frac{5 x y (3 x y) + 5 x y (x) + 5 x y (- 2 y)}{- x y}$

Factor $5 x y$ out of $5 x y (3 x y) + 5 x y (x)$ .

$\frac{5 x y (3 x y + x) + 5 x y (- 2 y)}{- x y}$

Factor $5 x y$ out of $5 x y (3 x y + x) + 5 x y (- 2 y)$ .

$\frac{5 x y (3 x y + x - 2 y)}{- x y}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{5 x y (3 x y + x - 2 y)}{- x y}$

Rewrite the expression.

$\frac{5 y (3 x y + x - 2 y)}{- 1 y}$

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{5 y (3 x y + x - 2 y)}{- 1 y}$

Rewrite the expression.

$\frac{5 (3 x y + x - 2 y)}{- 1}$

Move the negative one from the denominator of $\frac{5 (3 x y + x - 2 y)}{- 1}$ .

$- 1 \cdot (5 (3 x y + x - 2 y))$

Rewrite $- 1 \cdot (5 (3 x y + x - 2 y))$ as $- (5 (3 x y + x - 2 y))$ .

$- (5 (3 x y + x - 2 y))$

Apply the distributive property.

$- (5 (3 x y) + 5 x + 5 (- 2 y))$

Simplify.

Multiply $3$ by $5$ .

$- (15 (x y) + 5 x + 5 (- 2 y))$

Multiply $- 2$ by $5$ .

$- (15 (x y) + 5 x - 10 y)$

Apply the distributive property.

$- (15 x y) - (5 x) - (- 10 y)$

Simplify.

Multiply $15$ by $- 1$ .

$- 15 (x y) - (5 x) - (- 10 y)$

Multiply $5$ by $- 1$ .

$- 15 (x y) - 5 x - (- 10 y)$

Multiply $- 10$ by $- 1$ .

$- 15 (x y) - 5 x + 10 y$

$- 15 x y - 5 x + 10 y$