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