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a^{6}-\left(a^{2}-2a+1\right)
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a-1\right)^{2}.
a^{6}-a^{2}+2a-1
To find the opposite of a^{2}-2a+1, find the opposite of each term.
a^{6}-\left(a^{2}-2a+1\right)
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a-1\right)^{2}.
a^{6}-a^{2}+2a-1
To find the opposite of a^{2}-2a+1, find the opposite of each term.