Evaluate
2X\left(X^{2}+3\right)
Expand
2X^{3}+6X
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X^{3}-3X^{2}+3X-1+\left(X+1\right)^{3}
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(X-1\right)^{3}.
X^{3}-3X^{2}+3X-1+X^{3}+3X^{2}+3X+1
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}-3X^{2}+3X-1+3X^{2}+3X+1
Combine X^{3} and X^{3} to get 2X^{3}.
2X^{3}+3X-1+3X+1
Combine -3X^{2} and 3X^{2} to get 0.
2X^{3}+6X-1+1
Combine 3X and 3X to get 6X.
2X^{3}+6X
Add -1 and 1 to get 0.
X^{3}-3X^{2}+3X-1+\left(X+1\right)^{3}
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(X-1\right)^{3}.
X^{3}-3X^{2}+3X-1+X^{3}+3X^{2}+3X+1
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}-3X^{2}+3X-1+3X^{2}+3X+1
Combine X^{3} and X^{3} to get 2X^{3}.
2X^{3}+3X-1+3X+1
Combine -3X^{2} and 3X^{2} to get 0.
2X^{3}+6X-1+1
Combine 3X and 3X to get 6X.
2X^{3}+6X
Add -1 and 1 to get 0.
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Limits
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