Solve 5n/n^2+2n+5n/n^2+2n

$$\frac { 5 n } { n ^ { 2 } + 2 n } + \frac { 5 n } { n ^ { 2 } + 2 n }$$

Evaluate

$$\frac{10}{n+2}$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{5n}{n^{2}+2n}.

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

Cancel out n in both numerator and denominator.

$$\frac{5}{n+2}+\frac{5n}{n^{2}+2n}$$

Factor the expressions that are not already factored in \frac{5n}{n^{2}+2n}.

$$\frac{5}{n+2}+\frac{5n}{n\left(n+2\right)}$$

Cancel out n in both numerator and denominator.

$$\frac{5}{n+2}+\frac{5}{n+2}$$

Combine \frac{5}{n+2} and \frac{5}{n+2} to get 2\times \frac{5}{n+2}.

$$2\times \frac{5}{n+2}$$

Express 2\times \frac{5}{n+2} as a single fraction.

$$\frac{2\times 5}{n+2}$$

Multiply 2 and 5 to get 10.

$$\frac{10}{n+2}$$

Factor

$$\frac{10}{n+2}$$