Solve x-y/y+x*(x+y)^2/x-y

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

Evaluate

$$x+y$$

Solution Steps

Multiply \frac{x-y}{y+x} times \frac{\left(x+y\right)^{2}}{x-y} by multiplying numerator times numerator and denominator times denominator.

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

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

$$x+y$$

Expand

$$x+y$$

Solution Steps

Multiply \frac{x-y}{y+x} times \frac{\left(x+y\right)^{2}}{x-y} by multiplying numerator times numerator and denominator times denominator.

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

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

$$x+y$$