Solve (-3)^3+8x(-3)^3-21*3+18

$$( - 3 ) ^ { 3 } + 8 x ( - 3 ) ^ { 3 } - 21 \times 3 + 18$$

Evaluate

$$-216x-72$$

Solution Steps

Calculate -3 to the power of 3 and get -27.

$$-27+8x\left(-3\right)^{3}-21\times 3+18$$

Calculate -3 to the power of 3 and get -27.

$$-27+8x\left(-27\right)-21\times 3+18$$

Multiply 8 and -27 to get -216.

$$-27-216x-21\times 3+18$$

Multiply 21 and 3 to get 63.

$$-27-216x-63+18$$

Subtract 63 from -27 to get -90.

$$-90-216x+18$$

Add -90 and 18 to get -72.

$$-72-216x$$

Factor

$$72\left(-3x-1\right)$$

Solution Steps

Factor out 9.

$$9\left(-8-24x\right)$$

Consider -3-24x-7+2. Multiply and combine like terms.

$$-24x-8$$

Consider -24x-8. Factor out 8.

$$8\left(-3x-1\right)$$

Rewrite the complete factored expression.

$$72\left(-3x-1\right)$$