Evaluate
2\left(x-1\right)^{3}
Expand
2x^{3}-6x^{2}+6x-2
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2\left(x^{3}-3x^{2}+3x-1\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-1\right)^{3}.
2x^{3}-6x^{2}+6x-2
Use the distributive property to multiply 2 by x^{3}-3x^{2}+3x-1.
2\left(x^{3}-3x^{2}+3x-1\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-1\right)^{3}.
2x^{3}-6x^{2}+6x-2
Use the distributive property to multiply 2 by x^{3}-3x^{2}+3x-1.
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