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

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

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 2n times \frac{2}{2}.

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

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

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

Do the multiplications in n^{2}+n+2\times 2n.

$$\frac{n^{2}+n+4n}{2}$$

Combine like terms in n^{2}+n+4n.

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

Expand

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 2n times \frac{2}{2}.

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

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

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

Do the multiplications in n^{2}+n+2\times 2n.

$$\frac{n^{2}+n+4n}{2}$$

Combine like terms in n^{2}+n+4n.

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