Solve frac{a^{2}-ab+ab^{2}}{a^2-b^2+ab^2+b^3}=

$$\frac { a ^ { 2 } - a b + a b ^ { 2 } } { a ^ { 2 } - b ^ { 2 } + a b ^ { 2 } + b ^ { 3 } } =$$

Evaluate

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

Short Solution Steps

Factor the expressions that are not already factored.

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

Cancel out a+b^{2}-b in both numerator and denominator.

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

Expand

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

Short Solution Steps

Factor the expressions that are not already factored.

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

Cancel out a+b^{2}-b in both numerator and denominator.

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