Solve (n-2)n(n+2)

$$( n - 2 ) n ( n + 2 )$$

Evaluate

$$n\left(n^{2}-4\right)$$

Solution Steps

Use the distributive property to multiply n-2 by n.

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

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

$$n^{3}+2n^{2}-2n^{2}-4n$$

Combine 2n^{2} and -2n^{2} to get 0.

$$n^{3}-4n$$

Expand

$$n^{3}-4n$$

Solution Steps

Use the distributive property to multiply n-2 by n.

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

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

$$n^{3}+2n^{2}-2n^{2}-4n$$

Combine 2n^{2} and -2n^{2} to get 0.

$$n^{3}-4n$$