Evaluate
-\frac{9\left(1-x\right)^{3}}{2}
Expand
\frac{9x^{3}-27x^{2}+27x-9}{2}
Graph
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-\frac{1}{6}\left(27-81x+81x^{2}-27x^{3}\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(3-3x\right)^{3}.
-\frac{9}{2}+\frac{27}{2}x-\frac{27}{2}x^{2}+\frac{9}{2}x^{3}
Use the distributive property to multiply -\frac{1}{6} by 27-81x+81x^{2}-27x^{3}.
-\frac{1}{6}\left(27-81x+81x^{2}-27x^{3}\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(3-3x\right)^{3}.
-\frac{9}{2}+\frac{27}{2}x-\frac{27}{2}x^{2}+\frac{9}{2}x^{3}
Use the distributive property to multiply -\frac{1}{6} by 27-81x+81x^{2}-27x^{3}.
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