Solve 9m^2-n^2/n^2:(15m+5n)

$$\frac { 9 m ^ { 2 } - n ^ { 2 } } { n ^ { 2 } } : ( 15 m + 5 n )$$

Evaluate

$$\frac{3m-n}{5n^{2}}$$

Short Solution Steps

Express \frac{\frac{9m^{2}-n^{2}}{n^{2}}}{15m+5n} as a single fraction.

$$\frac{9m^{2}-n^{2}}{n^{2}\left(15m+5n\right)}$$

Factor the expressions that are not already factored.

$$\frac{\left(3m+n\right)\left(3m-n\right)}{5\left(3m+n\right)n^{2}}$$

Cancel out 3m+n in both numerator and denominator.

$$\frac{3m-n}{5n^{2}}$$

Expand

$$-\frac{n-3m}{5n^{2}}$$

Short Solution Steps

Express \frac{\frac{9m^{2}-n^{2}}{n^{2}}}{15m+5n} as a single fraction.

$$\frac{9m^{2}-n^{2}}{n^{2}\left(15m+5n\right)}$$

Factor the expressions that are not already factored.

$$\frac{\left(3m+n\right)\left(3m-n\right)}{5\left(3m+n\right)n^{2}}$$

Cancel out 3m+n in both numerator and denominator.

$$\frac{3m-n}{5n^{2}}$$