Solve c^2-2cb+b^2/c^2-b^2

$$\frac { c ^ { 2 } - 2 c b + b ^ { 2 } } { c ^ { 2 } - b ^ { 2 } }$$

Evaluate

$$\frac{c-b}{b+c}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(-b+c\right)^{2}}{\left(b+c\right)\left(-b+c\right)}$$

Cancel out -b+c in both numerator and denominator.

$$\frac{-b+c}{b+c}$$

Expand

$$-\frac{b-c}{b+c}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(-b+c\right)^{2}}{\left(b+c\right)\left(-b+c\right)}$$

Cancel out -b+c in both numerator and denominator.

$$\frac{-b+c}{b+c}$$