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m^{2}-2mn+n^{2}-3\left(m-n\right)-10
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}-3m+3n-10
Use the distributive property to multiply -3 by m-n.
m^{2}-2mn+n^{2}-3\left(m-n\right)-10
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}-3m+3n-10
Use the distributive property to multiply -3 by m-n.