Solve 2(-2)^3+2(-2)^2-8(-2)-2

$$2 ( - 2 ) ^ { 3 } + 2 ( - 2 ) ^ { 2 } - 8 ( - 2 ) - 2$$

Evaluate

$$6$$

Solution Steps

Calculate -2 to the power of 3 and get -8.

$$2\left(-8\right)+2\left(-2\right)^{2}-8\left(-2\right)-2$$

Multiply 2 and -8 to get -16.

$$-16+2\left(-2\right)^{2}-8\left(-2\right)-2$$

Calculate -2 to the power of 2 and get 4.

$$-16+2\times 4-8\left(-2\right)-2$$

Multiply 2 and 4 to get 8.

$$-16+8-8\left(-2\right)-2$$

Add -16 and 8 to get -8.

$$-8-8\left(-2\right)-2$$

Multiply 8 and -2 to get -16.

$$-8-\left(-16\right)-2$$

The opposite of -16 is 16.

$$-8+16-2$$

Add -8 and 16 to get 8.

$$8-2$$

Subtract 2 from 8 to get 6.

$$6$$

Factor

$$2\times 3$$