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

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

Evaluate

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Short Solution Steps

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

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

Cancel out x+y in both numerator and denominator.

$$\frac{x+y}{x-y}\times \frac{x-y}{x+y}$$

Multiply \frac{x+y}{x-y} times \frac{x-y}{x+y} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out \left(x+y\right)\left(x-y\right) in both numerator and denominator.

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Factor

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