Solve F(-9)=(-4)^3-9(-4)^2-54(-4)-20

$$F ( - 9 ) = ( - 4 ) ^ { 3 } - 9 ( - 4 ) ^ { 2 } - 54 ( - 4 ) - 20$$

Evaluate

$$-12$$

Solution Steps

Calculate -4 to the power of 3 and get -64.

$$-64-9\left(-4\right)^{2}-54\left(-4\right)-20$$

Calculate -4 to the power of 2 and get 16.

$$-64-9\times 16-54\left(-4\right)-20$$

Multiply 9 and 16 to get 144.

$$-64-144-54\left(-4\right)-20$$

Subtract 144 from -64 to get -208.

$$-208-54\left(-4\right)-20$$

Multiply 54 and -4 to get -216.

$$-208-\left(-216\right)-20$$

The opposite of -216 is 216.

$$-208+216-20$$

Add -208 and 216 to get 8.

$$8-20$$

Subtract 20 from 8 to get -12.

$$-12$$

Factor

$$-12$$