Solve 15v^3-5v(4v^2+7v-4)-12

$$15 v ^ { 3 } - 5 v ( 4 v ^ { 2 } + 7 v - 4 ) - 12$$

Evaluate

$$-5v^{3}-35v^{2}+20v-12$$

Solution Steps

Multiply -1 and 5 to get -5.

$$15v^{3}-5v\left(4v^{2}+7v-4\right)-12$$

Use the distributive property to multiply -5v by 4v^{2}+7v-4.

$$15v^{3}-20v^{3}-35v^{2}+20v-12$$

Combine 15v^{3} and -20v^{3} to get -5v^{3}.

$$-5v^{3}-35v^{2}+20v-12$$

Expand

$$-5v^{3}-35v^{2}+20v-12$$

Solution Steps

Multiply -1 and 5 to get -5.

$$15v^{3}-5v\left(4v^{2}+7v-4\right)-12$$

Use the distributive property to multiply -5v by 4v^{2}+7v-4.

$$15v^{3}-20v^{3}-35v^{2}+20v-12$$

Combine 15v^{3} and -20v^{3} to get -5v^{3}.

$$-5v^{3}-35v^{2}+20v-12$$