Evaluate

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

$(x−3)(x−1)(x+2)$

Expand

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

$x_{3}−2x_{2}−5x+6$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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