Solve 3(4a^3-a^2)-6(2a^3-a)

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

Evaluate

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

Solution Steps

Use the distributive property to multiply 3 by 4a^{3}-a^{2}.

$$12a^{3}-3a^{2}-6\left(2a^{3}-a\right)$$

Use the distributive property to multiply -6 by 2a^{3}-a.

$$12a^{3}-3a^{2}-12a^{3}+6a$$

Combine 12a^{3} and -12a^{3} to get 0.

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

Expand

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

Solution Steps

Use the distributive property to multiply 3 by 4a^{3}-a^{2}.

$$12a^{3}-3a^{2}-6\left(2a^{3}-a\right)$$

Use the distributive property to multiply -6 by 2a^{3}-a.

$$12a^{3}-3a^{2}-12a^{3}+6a$$

Combine 12a^{3} and -12a^{3} to get 0.

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