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

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

Evaluate

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

Short Solution Steps

Factor the expressions that are not already factored.

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

Cancel out a\left(a+b\right) in both numerator and denominator.

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

Expand

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

Short Solution Steps

Factor the expressions that are not already factored.

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

Cancel out a\left(a+b\right) in both numerator and denominator.

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