Solve frac{x^{3}-3x^{2}y+3xy^{2}-y^3}{x^3-3xy^2+2y^3}

$$\frac { x ^ { 3 } - 3 x ^ { 2 } y + 3 x y ^ { 2 } - y ^ { 3 } } { x ^ { 3 } - 3 x y ^ { 2 } + 2 y ^ { 3 } }$$

Evaluate

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

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(x-y\right)^{3}}{\left(x+2y\right)\left(x-y\right)^{2}}$$

Cancel out \left(x-y\right)^{2} in both numerator and denominator.

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

Expand

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

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(x-y\right)^{3}}{\left(x+2y\right)\left(x-y\right)^{2}}$$

Cancel out \left(x-y\right)^{2} in both numerator and denominator.

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