Solve 4q(q-1)(q+1)

$$4 q ( q - 1 ) ( q + 1 )$$

Evaluate

$$4q\left(q^{2}-1\right)$$

Solution Steps

Use the distributive property to multiply 4q by q-1.

$$\left(4q^{2}-4q\right)\left(q+1\right)$$

Apply the distributive property by multiplying each term of 4q^{2}-4q by each term of q+1.

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

Combine 4q^{2} and -4q^{2} to get 0.

$$4q^{3}-4q$$

Expand

$$4q^{3}-4q$$

Solution Steps

Use the distributive property to multiply 4q by q-1.

$$\left(4q^{2}-4q\right)\left(q+1\right)$$

Apply the distributive property by multiplying each term of 4q^{2}-4q by each term of q+1.

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

Combine 4q^{2} and -4q^{2} to get 0.

$$4q^{3}-4q$$