Solve ((-9)^3-3(-9)+6)-(-5)^3-3(-5)+6

$$( ( - 9 ) ^ { 3 } - 3 ( - 9 ) + 6 ) - ( - 5 ) ^ { 3 } - 3 ( - 5 ) + 6$$

Evaluate

$$-550$$

Solution Steps

Calculate -9 to the power of 3 and get -729.

$$-729-3\left(-9\right)+6-\left(-5\right)^{3}-3\left(-5\right)+6$$

Multiply 3 and -9 to get -27.

$$-729-\left(-27\right)+6-\left(-5\right)^{3}-3\left(-5\right)+6$$

The opposite of -27 is 27.

$$-729+27+6-\left(-5\right)^{3}-3\left(-5\right)+6$$

Add -729 and 27 to get -702.

$$-702+6-\left(-5\right)^{3}-3\left(-5\right)+6$$

Add -702 and 6 to get -696.

$$-696-\left(-5\right)^{3}-3\left(-5\right)+6$$

Calculate -5 to the power of 3 and get -125.

$$-696-\left(-125\right)-3\left(-5\right)+6$$

The opposite of -125 is 125.

$$-696+125-3\left(-5\right)+6$$

Add -696 and 125 to get -571.

$$-571-3\left(-5\right)+6$$

Multiply 3 and -5 to get -15.

$$-571-\left(-15\right)+6$$

The opposite of -15 is 15.

$$-571+15+6$$

Add -571 and 15 to get -556.

$$-556+6$$

Add -556 and 6 to get -550.

$$-550$$

Factor

$$-550$$