Solve -2a(a+3)(a-1)

$$- 2 a ( a + 3 ) ( a - 1 )$$

Evaluate

$$-2a\left(a-1\right)\left(a+3\right)$$

Solution Steps

Use the distributive property to multiply -2a by a+3.

$$\left(-2a^{2}-6a\right)\left(a-1\right)$$

Apply the distributive property by multiplying each term of -2a^{2}-6a by each term of a-1.

$$-2a^{3}+2a^{2}-6a^{2}+6a$$

Combine 2a^{2} and -6a^{2} to get -4a^{2}.

$$-2a^{3}-4a^{2}+6a$$

Expand

$$6a-4a^{2}-2a^{3}$$

Solution Steps

Use the distributive property to multiply -2a by a+3.

$$\left(-2a^{2}-6a\right)\left(a-1\right)$$

Apply the distributive property by multiplying each term of -2a^{2}-6a by each term of a-1.

$$-2a^{3}+2a^{2}-6a^{2}+6a$$

Combine 2a^{2} and -6a^{2} to get -4a^{2}.

$$-2a^{3}-4a^{2}+6a$$