Evaluate
2\left(x-1\right)\left(\left(2x-1\right)^{2}+2x\right)
Expand
8x^{3}-12x^{2}+6x-2
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8x^{3}-12x^{2}+6x-1-1^{2}
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(2x-1\right)^{3}.
8x^{3}-12x^{2}+6x-1-1
Calculate 1 to the power of 2 and get 1.
8x^{3}-12x^{2}+6x-2
Subtract 1 from -1 to get -2.
8x^{3}-12x^{2}+6x-1-1^{2}
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(2x-1\right)^{3}.
8x^{3}-12x^{2}+6x-1-1
Calculate 1 to the power of 2 and get 1.
8x^{3}-12x^{2}+6x-2
Subtract 1 from -1 to get -2.
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Limits
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