Evaluate
x^{2}\left(x-2\right)^{3}
Expand
x^{5}-6x^{4}+12x^{3}-8x^{2}
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\left(x^{3}-6x^{2}+12x-8\right)x^{2}
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^{5}-6x^{4}+12x^{3}-8x^{2}
Use the distributive property to multiply x^{3}-6x^{2}+12x-8 by x^{2}.
\left(x^{3}-6x^{2}+12x-8\right)x^{2}
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^{5}-6x^{4}+12x^{3}-8x^{2}
Use the distributive property to multiply x^{3}-6x^{2}+12x-8 by x^{2}.
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