Solve (2q-1)(q+1)(q-1)

$$( 2 q - 1 ) ( q + 1 ) ( q - 1 )$$

Evaluate

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

Solution Steps

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

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

Combine 2q and -q to get q.

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

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

$$2q^{3}-2q^{2}+q^{2}-q-q+1$$

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

$$2q^{3}-q^{2}-q-q+1$$

Combine -q and -q to get -2q.

$$2q^{3}-q^{2}-2q+1$$

Expand

$$2q^{3}-q^{2}-2q+1$$

Solution Steps

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

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

Combine 2q and -q to get q.

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

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

$$2q^{3}-2q^{2}+q^{2}-q-q+1$$

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

$$2q^{3}-q^{2}-q-q+1$$

Combine -q and -q to get -2q.

$$2q^{3}-q^{2}-2q+1$$