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

$$n ( n + 1 ) ( n + 2 )$$

Expand

$$n^{3}+3n^{2}+2n$$

Solution Steps

Use the distributive property to multiply n by n+1.

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

Apply the distributive property by multiplying each term of n^{2}+n by each term of n+2.

$$n^{3}+2n^{2}+n^{2}+2n$$

Combine 2n^{2} and n^{2} to get 3n^{2}.

$$n^{3}+3n^{2}+2n$$

Evaluate

$$n\left(n+1\right)\left(n+2\right)$$

Solution Steps

Use the distributive property to multiply n by n+1.

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

Apply the distributive property by multiplying each term of n^{2}+n by each term of n+2.

$$n^{3}+2n^{2}+n^{2}+2n$$

Combine 2n^{2} and n^{2} to get 3n^{2}.

$$n^{3}+3n^{2}+2n$$