Solve -24left(-x^2+6x-aright)--2x^2+6(-24x)

$$-24 \left( - { x }^{ 2 } +6x-a \right) --2 { x }^{ 2 } +6(-24x)$$

Evaluate

$$26x^{2}-288x+24a$$

Solution Steps

Use the distributive property to multiply -24 by -x^{2}+6x-a.

$$-24\left(-x^{2}\right)-144x+24a-\left(-2x^{2}\right)+6\left(-24\right)x$$

Multiply -24 and -1 to get 24.

$$24x^{2}-144x+24a-\left(-2x^{2}\right)+6\left(-24\right)x$$

The opposite of -2x^{2} is 2x^{2}.

$$24x^{2}-144x+24a+2x^{2}+6\left(-24\right)x$$

Combine 24x^{2} and 2x^{2} to get 26x^{2}.

$$26x^{2}-144x+24a+6\left(-24\right)x$$

Multiply 6 and -24 to get -144.

$$26x^{2}-144x+24a-144x$$

Combine -144x and -144x to get -288x.

$$26x^{2}-288x+24a$$

Expand

$$26x^{2}-288x+24a$$

Solution Steps

Use the distributive property to multiply -24 by -x^{2}+6x-a.

$$-24\left(-x^{2}\right)-144x+24a-\left(-2x^{2}\right)+6\left(-24\right)x$$

Multiply -24 and -1 to get 24.

$$24x^{2}-144x+24a-\left(-2x^{2}\right)+6\left(-24\right)x$$

The opposite of -2x^{2} is 2x^{2}.

$$24x^{2}-144x+24a+2x^{2}+6\left(-24\right)x$$

Combine 24x^{2} and 2x^{2} to get 26x^{2}.

$$26x^{2}-144x+24a+6\left(-24\right)x$$

Multiply 6 and -24 to get -144.

$$26x^{2}-144x+24a-144x$$

Combine -144x and -144x to get -288x.

$$26x^{2}-288x+24a$$