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

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

Evaluate

$$\frac{y+z}{x+z}$$

Short Solution Steps

Factor the expressions that are not already factored.

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

Cancel out x-y in both numerator and denominator.

$$\frac{y+z}{x+z}$$

Expand

$$\frac{y+z}{x+z}$$

Short Solution Steps

Factor the expressions that are not already factored.

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

Cancel out x-y in both numerator and denominator.

$$\frac{y+z}{x+z}$$