Evaluate
216a^{3}+216a^{2}+66a+6
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216a^{3}+216a^{2}+66a+6
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216a^{3}+216a^{2}+72a+8-\left(6a+2\right)
Use binomial theorem \left(p+q\right)^{3}=p^{3}+3p^{2}q+3pq^{2}+q^{3} to expand \left(6a+2\right)^{3}.
216a^{3}+216a^{2}+72a+8-6a-2
To find the opposite of 6a+2, find the opposite of each term.
216a^{3}+216a^{2}+66a+8-2
Combine 72a and -6a to get 66a.
216a^{3}+216a^{2}+66a+6
Subtract 2 from 8 to get 6.
216a^{3}+216a^{2}+72a+8-\left(6a+2\right)
Use binomial theorem \left(p+q\right)^{3}=p^{3}+3p^{2}q+3pq^{2}+q^{3} to expand \left(6a+2\right)^{3}.
216a^{3}+216a^{2}+72a+8-6a-2
To find the opposite of 6a+2, find the opposite of each term.
216a^{3}+216a^{2}+66a+8-2
Combine 72a and -6a to get 66a.
216a^{3}+216a^{2}+66a+6
Subtract 2 from 8 to get 6.
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