Solve (ab+b^2)diva^2-b^2/a

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

Evaluate

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

Short Solution Steps

Divide ab+b^{2} by \frac{a^{2}-b^{2}}{a} by multiplying ab+b^{2} by the reciprocal of \frac{a^{2}-b^{2}}{a}.

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

Factor the expressions that are not already factored.

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

Cancel out a+b in both numerator and denominator.

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

Expand

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

Short Solution Steps

Divide ab+b^{2} by \frac{a^{2}-b^{2}}{a} by multiplying ab+b^{2} by the reciprocal of \frac{a^{2}-b^{2}}{a}.

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

Factor the expressions that are not already factored.

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

Cancel out a+b in both numerator and denominator.

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