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

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

Evaluate

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

Short Solution Steps

Factor the expressions that are not already factored.

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

Cancel out a^{2}-ab+b^{2} 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.

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

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

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