Evaluate
\left(x-4\right)\left(x-1\right)\left(x+2\right)
Expand
x^{3}-3x^{2}-6x+8
Graph
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\left(x^{2}-x-4x+4\right)\left(x+2\right)
Apply the distributive property by multiplying each term of x-4 by each term of x-1.
\left(x^{2}-5x+4\right)\left(x+2\right)
Combine -x and -4x to get -5x.
x^{3}+2x^{2}-5x^{2}-10x+4x+8
Apply the distributive property by multiplying each term of x^{2}-5x+4 by each term of x+2.
x^{3}-3x^{2}-10x+4x+8
Combine 2x^{2} and -5x^{2} to get -3x^{2}.
x^{3}-3x^{2}-6x+8
Combine -10x and 4x to get -6x.
\left(x^{2}-x-4x+4\right)\left(x+2\right)
Apply the distributive property by multiplying each term of x-4 by each term of x-1.
\left(x^{2}-5x+4\right)\left(x+2\right)
Combine -x and -4x to get -5x.
x^{3}+2x^{2}-5x^{2}-10x+4x+8
Apply the distributive property by multiplying each term of x^{2}-5x+4 by each term of x+2.
x^{3}-3x^{2}-10x+4x+8
Combine 2x^{2} and -5x^{2} to get -3x^{2}.
x^{3}-3x^{2}-6x+8
Combine -10x and 4x to get -6x.
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