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

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

Evaluate

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

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(a+b\right)\left(a-b+1\right)}{\left(a-b\right)\left(a-b+1\right)}$$

Cancel out a-b+1 in both numerator and denominator.

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

Expand

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

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(a+b\right)\left(a-b+1\right)}{\left(a-b\right)\left(a-b+1\right)}$$

Cancel out a-b+1 in both numerator and denominator.

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