Evaluate
\frac{2a}{a^{3}-a^{2}+a+1}
Expand
\frac{2a}{a^{3}-a^{2}+a+1}
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\frac{6a^{3}}{3a^{5}-3a^{4}+3a^{2}+3a^{3}}
Combine 3a^{3} and 3a^{3} to get 6a^{3}.
\frac{6a^{3}}{3a^{2}\left(a^{3}-a^{2}+a+1\right)}
Factor the expressions that are not already factored.
\frac{2a}{a^{3}-a^{2}+a+1}
Cancel out 3a^{2} in both numerator and denominator.
\frac{6a^{3}}{3a^{5}-3a^{4}+3a^{2}+3a^{3}}
Combine 3a^{3} and 3a^{3} to get 6a^{3}.
\frac{6a^{3}}{3a^{2}\left(a^{3}-a^{2}+a+1\right)}
Factor the expressions that are not already factored.
\frac{2a}{a^{3}-a^{2}+a+1}
Cancel out 3a^{2} in both numerator and denominator.
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