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-\left(m^{2}-2mn+n^{2}\right)+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(m-n\right)^{2}.
-m^{2}+2mn-n^{2}+1
To find the opposite of m^{2}-2mn+n^{2}, find the opposite of each term.
-\left(m^{2}-2mn+n^{2}\right)+1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(m-n\right)^{2}.
-m^{2}+2mn-n^{2}+1
To find the opposite of m^{2}-2mn+n^{2}, find the opposite of each term.