Solve -2(4s+2)(s-3)(s-2)

$$- 2 ( 4 s + 2 ) ( s - 3 ) ( s - 2 )$$

Evaluate

$$-4\left(s-3\right)\left(s-2\right)\left(2s+1\right)$$

Solution Steps

Use the distributive property to multiply -2 by 4s+2.

$$\left(-8s-4\right)\left(s-3\right)\left(s-2\right)$$

Apply the distributive property by multiplying each term of -8s-4 by each term of s-3.

$$\left(-8s^{2}+24s-4s+12\right)\left(s-2\right)$$

Combine 24s and -4s to get 20s.

$$\left(-8s^{2}+20s+12\right)\left(s-2\right)$$

Apply the distributive property by multiplying each term of -8s^{2}+20s+12 by each term of s-2.

$$-8s^{3}+16s^{2}+20s^{2}-40s+12s-24$$

Combine 16s^{2} and 20s^{2} to get 36s^{2}.

$$-8s^{3}+36s^{2}-40s+12s-24$$

Combine -40s and 12s to get -28s.

$$-8s^{3}+36s^{2}-28s-24$$

Expand

$$-8s^{3}+36s^{2}-28s-24$$

Solution Steps

Use the distributive property to multiply -2 by 4s+2.

$$\left(-8s-4\right)\left(s-3\right)\left(s-2\right)$$

Apply the distributive property by multiplying each term of -8s-4 by each term of s-3.

$$\left(-8s^{2}+24s-4s+12\right)\left(s-2\right)$$

Combine 24s and -4s to get 20s.

$$\left(-8s^{2}+20s+12\right)\left(s-2\right)$$

Apply the distributive property by multiplying each term of -8s^{2}+20s+12 by each term of s-2.

$$-8s^{3}+16s^{2}+20s^{2}-40s+12s-24$$

Combine 16s^{2} and 20s^{2} to get 36s^{2}.

$$-8s^{3}+36s^{2}-40s+12s-24$$

Combine -40s and 12s to get -28s.

$$-8s^{3}+36s^{2}-28s-24$$