Solve f(x)=x(x+2)(x-1)

$$f ( x ) = x ( x + 2 ) ( x - 1 )$$

Evaluate

$$x\left(x-1\right)\left(x+2\right)$$

Solution Steps

Use the distributive property to multiply x by x+2.

$$\left(x^{2}+2x\right)\left(x-1\right)$$

Apply the distributive property by multiplying each term of x^{2}+2x by each term of x-1.

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

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

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

Expand

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

Solution Steps

Use the distributive property to multiply x by x+2.

$$\left(x^{2}+2x\right)\left(x-1\right)$$

Apply the distributive property by multiplying each term of x^{2}+2x by each term of x-1.

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

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

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