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n^{2}+mn-m^{2}
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n^{2}+mn-m^{2}
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4m^{2}+4mn+n^{2}-3mn-5m^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2m+n\right)^{2}.
4m^{2}+mn+n^{2}-5m^{2}
Combine 4mn and -3mn to get mn.
-m^{2}+mn+n^{2}
Combine 4m^{2} and -5m^{2} to get -m^{2}.
4m^{2}+4mn+n^{2}-3mn-5m^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2m+n\right)^{2}.
4m^{2}+mn+n^{2}-5m^{2}
Combine 4mn and -3mn to get mn.
-m^{2}+mn+n^{2}
Combine 4m^{2} and -5m^{2} to get -m^{2}.
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