Evaluate
\frac{x\left(x^{2}+6x+12\right)}{3}
Expand
\frac{x^{3}}{3}+2x^{2}+4x
Graph
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\frac{1}{3}\left(8+12x+6x^{2}+x^{3}\right)+\frac{4}{3}-4
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(2+x\right)^{3}.
\frac{8}{3}+4x+2x^{2}+\frac{1}{3}x^{3}+\frac{4}{3}-4
Use the distributive property to multiply \frac{1}{3} by 8+12x+6x^{2}+x^{3}.
4+4x+2x^{2}+\frac{1}{3}x^{3}-4
Add \frac{8}{3} and \frac{4}{3} to get 4.
4x+2x^{2}+\frac{1}{3}x^{3}
Subtract 4 from 4 to get 0.
\frac{1}{3}\left(8+12x+6x^{2}+x^{3}\right)+\frac{4}{3}-4
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(2+x\right)^{3}.
\frac{8}{3}+4x+2x^{2}+\frac{1}{3}x^{3}+\frac{4}{3}-4
Use the distributive property to multiply \frac{1}{3} by 8+12x+6x^{2}+x^{3}.
4+4x+2x^{2}+\frac{1}{3}x^{3}-4
Add \frac{8}{3} and \frac{4}{3} to get 4.
4x+2x^{2}+\frac{1}{3}x^{3}
Subtract 4 from 4 to get 0.
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Limits
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