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