Solve 2(4p-6q)(2p+3q)

$$2 ( 4 p - 6 q ) ( 2 p + 3 q )$$

Evaluate

$$16p^{2}-36q^{2}$$

Solution Steps

Use the distributive property to multiply 2 by 4p-6q.

$$\left(8p-12q\right)\left(2p+3q\right)$$

Apply the distributive property by multiplying each term of 8p-12q by each term of 2p+3q.

$$16p^{2}+24pq-24qp-36q^{2}$$

Combine 24pq and -24qp to get 0.

$$16p^{2}-36q^{2}$$

Expand

$$16p^{2}-36q^{2}$$

Solution Steps

Use the distributive property to multiply 2 by 4p-6q.

$$\left(8p-12q\right)\left(2p+3q\right)$$

Apply the distributive property by multiplying each term of 8p-12q by each term of 2p+3q.

$$16p^{2}+24pq-24qp-36q^{2}$$

Combine 24pq and -24qp to get 0.

$$16p^{2}-36q^{2}$$