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

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

Evaluate

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Short Solution Steps

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

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

Cancel out x-y in both numerator and denominator.

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

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

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

Cancel out x in both numerator and denominator.

$$x+y+x-y+\frac{y-2xy}{y}$$

Combine x and x to get 2x.

$$2x+y-y+\frac{y-2xy}{y}$$

Combine y and -y to get 0.

$$2x+\frac{y-2xy}{y}$$

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

$$2x+\frac{y\left(-2x+1\right)}{y}$$

Cancel out y in both numerator and denominator.

$$2x-2x+1$$

Combine 2x and -2x to get 0.

$$1$$

Factor

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