Solve 2a^3-2a*[a^2-3(a-1)]

$$2 a ^ { 3 } - 2 a \cdot [ a ^ { 2 } - 3 ( a - 1 ) ]$$

Evaluate

$$6a\left(a-1\right)$$

Solution Steps

Use the distributive property to multiply -3 by a-1.

$$2a^{3}-2a\left(a^{2}-3a+3\right)$$

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

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

Combine 2a^{3} and -2a^{3} to get 0.

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

Expand

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

Solution Steps

Use the distributive property to multiply -3 by a-1.

$$2a^{3}-2a\left(a^{2}-3a+3\right)$$

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

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

Combine 2a^{3} and -2a^{3} to get 0.

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