Solve a^3-ab/a^6-a^2b^2

$$\frac { a ^ { 3 } - a b } { a ^ { 6 } - a ^ { 2 } b ^ { 2 } }$$

Evaluate

$$\frac{1}{a\left(a^{2}+b\right)}$$

Short Solution Steps

Factor the expressions that are not already factored.

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

Cancel out a\left(a^{2}-b\right) in both numerator and denominator.

$$\frac{1}{a\left(a^{2}+b\right)}$$

Expand the expression.

$$\frac{1}{a^{3}+ab}$$

Expand

$$\frac{1}{a\left(a^{2}+b\right)}$$

Short Solution Steps

Factor the expressions that are not already factored.

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

Cancel out a\left(a^{2}-b\right) in both numerator and denominator.

$$\frac{1}{a\left(a^{2}+b\right)}$$

Expand the expression.

$$\frac{1}{a^{3}+ab}$$