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81-\left(a^{2}-4a+4\right)
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a-2\right)^{2}.
81-a^{2}+4a-4
To find the opposite of a^{2}-4a+4, find the opposite of each term.
77-a^{2}+4a
Subtract 4 from 81 to get 77.
81-\left(a^{2}-4a+4\right)
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a-2\right)^{2}.
81-a^{2}+4a-4
To find the opposite of a^{2}-4a+4, find the opposite of each term.
77-a^{2}+4a
Subtract 4 from 81 to get 77.