Solve a^2-ab+b^2/a^3+b^3=

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

Evaluate

$$\frac{1}{a+b}$$

Short Solution Steps

Factor the expressions that are not already factored.

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

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

$$\frac{1}{a+b}$$

Expand

$$\frac{1}{a+b}$$

Short Solution Steps

Factor the expressions that are not already factored.

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

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

$$\frac{1}{a+b}$$