Solve 1/(2n+1)(2n+2)

$$\frac { 1 } { ( 2 n + 1 ) ( 2 n + 2 ) }$$

Evaluate

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

Solution Steps

Apply the distributive property by multiplying each term of 2n+1 by each term of 2n+2.

$$\frac{1}{4n^{2}+4n+2n+2}$$

Combine 4n and 2n to get 6n.

$$\frac{1}{4n^{2}+6n+2}$$

Expand

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

Solution Steps

Apply the distributive property by multiplying each term of 2n+1 by each term of 2n+2.

$$\frac{1}{4n^{2}+4n+2n+2}$$

Combine 4n and 2n to get 6n.

$$\frac{1}{4n^{2}+6n+2}$$