Evaluate
\left(x-2\right)^{6}
Expand
x^{6}-12x^{5}+60x^{4}-160x^{3}+240x^{2}-192x+64
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\left(x^{3}-6x^{2}+12x-8\right)^{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^{6}-12x^{5}+60x^{4}-160x^{3}+240x^{2}-192x+64
Square x^{3}-6x^{2}+12x-8.
\left(x^{3}-6x^{2}+12x-8\right)^{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^{6}-12x^{5}+60x^{4}-160x^{3}+240x^{2}-192x+64
Square x^{3}-6x^{2}+12x-8.
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