Evaluate
\left(2a+1\right)\left(a^{2}+a+1\right)
Expand
2a^{3}+3a^{2}+3a+1
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a^{3}+a^{3}+3a^{2}+3a+1
Use binomial theorem \left(p+q\right)^{3}=p^{3}+3p^{2}q+3pq^{2}+q^{3} to expand \left(a+1\right)^{3}.
2a^{3}+3a^{2}+3a+1
Combine a^{3} and a^{3} to get 2a^{3}.
a^{3}+a^{3}+3a^{2}+3a+1
Use binomial theorem \left(p+q\right)^{3}=p^{3}+3p^{2}q+3pq^{2}+q^{3} to expand \left(a+1\right)^{3}.
2a^{3}+3a^{2}+3a+1
Combine a^{3} and a^{3} to get 2a^{3}.
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