Solve f(x)=-3x(x+3)(x-3)

$$f ( x ) = - 3 x ( x + 3 ) ( x - 3 )$$

Evaluate

$$27x-3x^{3}$$

Solution Steps

Use the distributive property to multiply -3x by x+3.

$$\left(-3x^{2}-9x\right)\left(x-3\right)$$

Apply the distributive property by multiplying each term of -3x^{2}-9x by each term of x-3.

$$-3x^{3}+9x^{2}-9x^{2}+27x$$

Combine 9x^{2} and -9x^{2} to get 0.

$$-3x^{3}+27x$$

Expand

$$27x-3x^{3}$$

Solution Steps

Use the distributive property to multiply -3x by x+3.

$$\left(-3x^{2}-9x\right)\left(x-3\right)$$

Apply the distributive property by multiplying each term of -3x^{2}-9x by each term of x-3.

$$-3x^{3}+9x^{2}-9x^{2}+27x$$

Combine 9x^{2} and -9x^{2} to get 0.

$$-3x^{3}+27x$$