Evaluate
\left(x-6\right)\left(x-2\right)\left(x-1\right)
Expand
x^{3}-9x^{2}+20x-12
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\left(x^{2}-x-6x+6\right)\left(x-2\right)
Apply the distributive property by multiplying each term of x-6 by each term of x-1.
\left(x^{2}-7x+6\right)\left(x-2\right)
Combine -x and -6x to get -7x.
x^{3}-2x^{2}-7x^{2}+14x+6x-12
Apply the distributive property by multiplying each term of x^{2}-7x+6 by each term of x-2.
x^{3}-9x^{2}+14x+6x-12
Combine -2x^{2} and -7x^{2} to get -9x^{2}.
x^{3}-9x^{2}+20x-12
Combine 14x and 6x to get 20x.
\left(x^{2}-x-6x+6\right)\left(x-2\right)
Apply the distributive property by multiplying each term of x-6 by each term of x-1.
\left(x^{2}-7x+6\right)\left(x-2\right)
Combine -x and -6x to get -7x.
x^{3}-2x^{2}-7x^{2}+14x+6x-12
Apply the distributive property by multiplying each term of x^{2}-7x+6 by each term of x-2.
x^{3}-9x^{2}+14x+6x-12
Combine -2x^{2} and -7x^{2} to get -9x^{2}.
x^{3}-9x^{2}+20x-12
Combine 14x and 6x to get 20x.
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