Solve n5n-n^2+3/(nn+1)

$$n \frac { 5 n - n ^ { 2 } + 3 } { ( n n + 1 ) }$$

Evaluate

$$\frac{n\left(3+5n-n^{2}\right)}{n^{2}+1}$$

Short Solution Steps

Multiply n and n to get n^{2}.

$$n\times \frac{5n-n^{2}+3}{n^{2}+1}$$

Express n\times \frac{5n-n^{2}+3}{n^{2}+1} as a single fraction.

$$\frac{n\left(5n-n^{2}+3\right)}{n^{2}+1}$$

Use the distributive property to multiply n by 5n-n^{2}+3.

$$\frac{5n^{2}-n^{3}+3n}{n^{2}+1}$$

Expand

$$\frac{3n+5n^{2}-n^{3}}{n^{2}+1}$$

Short Solution Steps

Multiply n and n to get n^{2}.

$$n\times \frac{5n-n^{2}+3}{n^{2}+1}$$

Express n\times \frac{5n-n^{2}+3}{n^{2}+1} as a single fraction.

$$\frac{n\left(5n-n^{2}+3\right)}{n^{2}+1}$$

Use the distributive property to multiply n by 5n-n^{2}+3.

$$\frac{5n^{2}-n^{3}+3n}{n^{2}+1}$$