Solve a^2-ab/a^2-b^2+b/a+b

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

Evaluate

$$1$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{a^{2}-ab}{a^{2}-b^{2}}.

$$\frac{a\left(a-b\right)}{\left(a+b\right)\left(a-b\right)}+\frac{b}{a+b}$$

Cancel out a-b in both numerator and denominator.

$$\frac{a}{a+b}+\frac{b}{a+b}$$

Since \frac{a}{a+b} and \frac{b}{a+b} have the same denominator, add them by adding their numerators.

$$\frac{a+b}{a+b}$$

Cancel out a+b in both numerator and denominator.

$$1$$

Factor

$$1$$