Evaluate
\left(3-x\right)\left(x^{2}-3x+3\right)
Expand
9-12x+6x^{2}-x^{3}
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8-12x+6x^{2}-x^{3}+1
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(2-x\right)^{3}.
9-12x+6x^{2}-x^{3}
Add 8 and 1 to get 9.
8-12x+6x^{2}-x^{3}+1
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(2-x\right)^{3}.
9-12x+6x^{2}-x^{3}
Add 8 and 1 to get 9.
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Limits
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