Solve 2xy^2/xy-y^2*x^2-y^2/xy

$$\frac { 2 x y ^ { 2 } } { x y - y ^ { 2 } } \cdot \frac { x ^ { 2 } - y ^ { 2 } } { x y }$$

Evaluate

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

Short Solution Steps

Factor the expressions that are not already factored in \frac{2xy^{2}}{xy-y^{2}}.

$$\frac{2xy^{2}}{y\left(x-y\right)}\times \frac{x^{2}-y^{2}}{xy}$$

Cancel out y in both numerator and denominator.

$$\frac{2xy}{x-y}\times \frac{x^{2}-y^{2}}{xy}$$

Multiply \frac{2xy}{x-y} times \frac{x^{2}-y^{2}}{xy} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2xy\left(x^{2}-y^{2}\right)}{\left(x-y\right)xy}$$

Cancel out xy in both numerator and denominator.

$$\frac{2\left(x^{2}-y^{2}\right)}{x-y}$$

Factor the expressions that are not already factored.

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

Cancel out x-y in both numerator and denominator.

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

Expand the expression.

$$2x+2y$$

Expand

$$2x+2y$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{2xy^{2}}{xy-y^{2}}.

$$\frac{2xy^{2}}{y\left(x-y\right)}\times \frac{x^{2}-y^{2}}{xy}$$

Cancel out y in both numerator and denominator.

$$\frac{2xy}{x-y}\times \frac{x^{2}-y^{2}}{xy}$$

Multiply \frac{2xy}{x-y} times \frac{x^{2}-y^{2}}{xy} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2xy\left(x^{2}-y^{2}\right)}{\left(x-y\right)xy}$$

Cancel out xy in both numerator and denominator.

$$\frac{2\left(x^{2}-y^{2}\right)}{x-y}$$

Factor the expressions that are not already factored.

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

Cancel out x-y in both numerator and denominator.

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

Expand the expression.

$$2x+2y$$