Evaluate
\left(x-7\right)\left(x-6\right)\left(x+3\right)
Expand
x^{3}-10x^{2}+3x+126
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\left(x^{2}-6x+3x-18\right)\left(x-7\right)
Apply the distributive property by multiplying each term of x+3 by each term of x-6.
\left(x^{2}-3x-18\right)\left(x-7\right)
Combine -6x and 3x to get -3x.
x^{3}-7x^{2}-3x^{2}+21x-18x+126
Apply the distributive property by multiplying each term of x^{2}-3x-18 by each term of x-7.
x^{3}-10x^{2}+21x-18x+126
Combine -7x^{2} and -3x^{2} to get -10x^{2}.
x^{3}-10x^{2}+3x+126
Combine 21x and -18x to get 3x.
\left(x^{2}-6x+3x-18\right)\left(x-7\right)
Apply the distributive property by multiplying each term of x+3 by each term of x-6.
\left(x^{2}-3x-18\right)\left(x-7\right)
Combine -6x and 3x to get -3x.
x^{3}-7x^{2}-3x^{2}+21x-18x+126
Apply the distributive property by multiplying each term of x^{2}-3x-18 by each term of x-7.
x^{3}-10x^{2}+21x-18x+126
Combine -7x^{2} and -3x^{2} to get -10x^{2}.
x^{3}-10x^{2}+3x+126
Combine 21x and -18x to get 3x.
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