Solve 4.16(p+2q)(3q-3p)

$$4.16 ( p + 2 q ) ( 3 q - 3 p )$$

Evaluate

$$\frac{312\left(q-p\right)\left(p+2q\right)}{25}$$

Solution Steps

Use the distributive property to multiply 4.16 by p+2q.

$$\left(4.16p+8.32q\right)\left(3q-3p\right)$$

Apply the distributive property by multiplying each term of 4.16p+8.32q by each term of 3q-3p.

$$12.48pq-12.48p^{2}+24.96q^{2}-24.96qp$$

Combine 12.48pq and -24.96qp to get -12.48pq.

$$-12.48pq-12.48p^{2}+24.96q^{2}$$

Expand

$$\frac{624q^{2}-312pq-312p^{2}}{25}$$

Solution Steps

Use the distributive property to multiply 4.16 by p+2q.

$$\left(4.16p+8.32q\right)\left(3q-3p\right)$$

Apply the distributive property by multiplying each term of 4.16p+8.32q by each term of 3q-3p.

$$12.48pq-12.48p^{2}+24.96q^{2}-24.96qp$$

Combine 12.48pq and -24.96qp to get -12.48pq.

$$-12.48pq-12.48p^{2}+24.96q^{2}$$