Solve 7q(p-q)+2p(q-p)

$$7 q ( p - q ) + 2 p ( q - p )$$

Evaluate

$$\left(p-q\right)\left(7q-2p\right)$$

Solution Steps

Use the distributive property to multiply 7q by p-q.

$$7qp-7q^{2}+2p\left(q-p\right)$$

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

$$7qp-7q^{2}+2pq-2p^{2}$$

Combine 7qp and 2pq to get 9qp.

$$9qp-7q^{2}-2p^{2}$$

Expand

$$-2p^{2}+9pq-7q^{2}$$

Solution Steps

Use the distributive property to multiply 7q by p-q.

$$7qp-7q^{2}+2p\left(q-p\right)$$

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

$$7qp-7q^{2}+2pq-2p^{2}$$

Combine 7qp and 2pq to get 9qp.

$$9qp-7q^{2}-2p^{2}$$