Solve (5n^2/2+n/2)

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

Factor

$$\frac{n\left(5n+1\right)}{2}$$

Solution Steps

Factor out \frac{1}{2}.

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

Consider 5n^{2}+n. Factor out n.

$$n\left(5n+1\right)$$

Rewrite the complete factored expression.

$$\frac{n\left(5n+1\right)}{2}$$

Evaluate

$$\frac{n\left(5n+1\right)}{2}$$

Solution Steps

Since \frac{5n^{2}}{2} and \frac{n}{2} have the same denominator, add them by adding their numerators.

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