Solve (ab+b^2)*3a/a^2-b^2=

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

Evaluate

$$\frac{3ab}{a-b}$$

Short Solution Steps

Express \left(ab+b^{2}\right)\times \frac{3a}{a^{2}-b^{2}} as a single fraction.

$$\frac{\left(ab+b^{2}\right)\times 3a}{a^{2}-b^{2}}$$

Factor the expressions that are not already factored.

$$\frac{3ab\left(a+b\right)}{\left(a+b\right)\left(a-b\right)}$$

Cancel out a+b in both numerator and denominator.

$$\frac{3ab}{a-b}$$

Expand

$$\frac{3ab}{a-b}$$

Short Solution Steps

Express \left(ab+b^{2}\right)\times \frac{3a}{a^{2}-b^{2}} as a single fraction.

$$\frac{\left(ab+b^{2}\right)\times 3a}{a^{2}-b^{2}}$$

Factor the expressions that are not already factored.

$$\frac{3ab\left(a+b\right)}{\left(a+b\right)\left(a-b\right)}$$

Cancel out a+b in both numerator and denominator.

$$\frac{3ab}{a-b}$$