Solve (a^2+7ab)/(a^3+6a^2b-7ab^2)

$$\frac { ( a ^ { 2 } + 7 a b ) } { ( a ^ { 3 } + 6 a ^ { 2 } b - 7 a b ^ { 2 } ) }$$

Evaluate

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

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{a\left(a+7b\right)}{a\left(a-b\right)\left(a+7b\right)}$$

Cancel out a\left(a+7b\right) in both numerator and denominator.

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

Expand

$$\frac{7}{7a-7b}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{a\left(a+7b\right)}{a\left(a-b\right)\left(a+7b\right)}$$

Cancel out a\left(a+7b\right) in both numerator and denominator.

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