Evaluate
x\left(x-2\right)^{3}
Expand
x^{4}-6x^{3}+12x^{2}-8x
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\left(x^{3}-6x^{2}+12x-8\right)x
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-2\right)^{3}.
x^{4}-6x^{3}+12x^{2}-8x
Use the distributive property to multiply x^{3}-6x^{2}+12x-8 by x.
\left(x^{3}-6x^{2}+12x-8\right)x
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-2\right)^{3}.
x^{4}-6x^{3}+12x^{2}-8x
Use the distributive property to multiply x^{3}-6x^{2}+12x-8 by x.
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