Solve f(x)=x(x-4)(x+2)

$$f ( x ) = x ( x - 4 ) ( x + 2 )$$

Evaluate

$$x\left(x-4\right)\left(x+2\right)$$

Solution Steps

Use the distributive property to multiply x by x-4.

$$\left(x^{2}-4x\right)\left(x+2\right)$$

Apply the distributive property by multiplying each term of x^{2}-4x by each term of x+2.

$$x^{3}+2x^{2}-4x^{2}-8x$$

Combine 2x^{2} and -4x^{2} to get -2x^{2}.

$$x^{3}-2x^{2}-8x$$

Expand

$$x^{3}-2x^{2}-8x$$

Solution Steps

Use the distributive property to multiply x by x-4.

$$\left(x^{2}-4x\right)\left(x+2\right)$$

Apply the distributive property by multiplying each term of x^{2}-4x by each term of x+2.

$$x^{3}+2x^{2}-4x^{2}-8x$$

Combine 2x^{2} and -4x^{2} to get -2x^{2}.

$$x^{3}-2x^{2}-8x$$