Solve p(2p+3)(2p-3)

$$p ( 2 p + 3 ) ( 2 p - 3 )$$

Evaluate

$$p\left(4p^{2}-9\right)$$

Solution Steps

Use the distributive property to multiply p by 2p+3.

$$\left(2p^{2}+3p\right)\left(2p-3\right)$$

Apply the distributive property by multiplying each term of 2p^{2}+3p by each term of 2p-3.

$$4p^{3}-6p^{2}+6p^{2}-9p$$

Combine -6p^{2} and 6p^{2} to get 0.

$$4p^{3}-9p$$

Expand

$$4p^{3}-9p$$

Solution Steps

Use the distributive property to multiply p by 2p+3.

$$\left(2p^{2}+3p\right)\left(2p-3\right)$$

Apply the distributive property by multiplying each term of 2p^{2}+3p by each term of 2p-3.

$$4p^{3}-6p^{2}+6p^{2}-9p$$

Combine -6p^{2} and 6p^{2} to get 0.

$$4p^{3}-9p$$