Solve 4(-6)^3-2(-6)^2-16(-6)-6

$$4 ( - 6 ) ^ { 3 } - 2 ( - 6 ) ^ { 2 } - 16 ( - 6 ) - 6$$

Evaluate

$$-846$$

Solution Steps

Calculate -6 to the power of 3 and get -216.

$$4\left(-216\right)-2\left(-6\right)^{2}-16\left(-6\right)-6$$

Multiply 4 and -216 to get -864.

$$-864-2\left(-6\right)^{2}-16\left(-6\right)-6$$

Calculate -6 to the power of 2 and get 36.

$$-864-2\times 36-16\left(-6\right)-6$$

Multiply 2 and 36 to get 72.

$$-864-72-16\left(-6\right)-6$$

Subtract 72 from -864 to get -936.

$$-936-16\left(-6\right)-6$$

Multiply 16 and -6 to get -96.

$$-936-\left(-96\right)-6$$

The opposite of -96 is 96.

$$-936+96-6$$

Add -936 and 96 to get -840.

$$-840-6$$

Subtract 6 from -840 to get -846.

$$-846$$

Factor

$$-846$$