Solve (x-3)(x+2)(x-1)

$$(x-3)(x+2)(x-1)$$

Evaluate

$$\left(x-3\right)\left(x-1\right)\left(x+2\right)$$

Solution Steps

Apply the distributive property by multiplying each term of x-3 by each term of x+2.

$$\left(x^{2}+2x-3x-6\right)\left(x-1\right)$$

Combine 2x and -3x to get -x.

$$\left(x^{2}-x-6\right)\left(x-1\right)$$

Apply the distributive property by multiplying each term of x^{2}-x-6 by each term of x-1.

$$x^{3}-x^{2}-x^{2}+x-6x+6$$

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

$$x^{3}-2x^{2}+x-6x+6$$

Combine x and -6x to get -5x.

$$x^{3}-2x^{2}-5x+6$$

Expand

$$x^{3}-2x^{2}-5x+6$$

Solution Steps

Apply the distributive property by multiplying each term of x-3 by each term of x+2.

$$\left(x^{2}+2x-3x-6\right)\left(x-1\right)$$

Combine 2x and -3x to get -x.

$$\left(x^{2}-x-6\right)\left(x-1\right)$$

Apply the distributive property by multiplying each term of x^{2}-x-6 by each term of x-1.

$$x^{3}-x^{2}-x^{2}+x-6x+6$$

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

$$x^{3}-2x^{2}+x-6x+6$$

Combine x and -6x to get -5x.

$$x^{3}-2x^{2}-5x+6$$