Solve (2p+5q-9)(4p-5q)

$$( 2 p + 5 q - 9 ) ( 4 p - 5 q )$$

Evaluate

$$\left(4p-5q\right)\left(2p+5q-9\right)$$

Solution Steps

Apply the distributive property by multiplying each term of 2p+5q-9 by each term of 4p-5q.

$$8p^{2}-10pq+20qp-25q^{2}-36p+45q$$

Combine -10pq and 20qp to get 10pq.

$$8p^{2}+10pq-25q^{2}-36p+45q$$

Expand

$$8p^{2}+10pq-36p-25q^{2}+45q$$

Solution Steps

Apply the distributive property by multiplying each term of 2p+5q-9 by each term of 4p-5q.

$$8p^{2}-10pq+20qp-25q^{2}-36p+45q$$

Combine -10pq and 20qp to get 10pq.

$$8p^{2}+10pq-25q^{2}-36p+45q$$