Evaluate
-\left(a+1\right)\left(19a^{2}-7a+1\right)
Expand
-19a^{3}-12a^{2}+6a-1
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8a^{3}-12a^{2}+6a-1-27a^{3}
Use binomial theorem \left(p-q\right)^{3}=p^{3}-3p^{2}q+3pq^{2}-q^{3} to expand \left(2a-1\right)^{3}.
-19a^{3}-12a^{2}+6a-1
Combine 8a^{3} and -27a^{3} to get -19a^{3}.
8a^{3}-12a^{2}+6a-1-27a^{3}
Use binomial theorem \left(p-q\right)^{3}=p^{3}-3p^{2}q+3pq^{2}-q^{3} to expand \left(2a-1\right)^{3}.
-19a^{3}-12a^{2}+6a-1
Combine 8a^{3} and -27a^{3} to get -19a^{3}.
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