[tex]m^{2}+2m-n^{2}-2n=m^{2}-n^{2}+2m-2n=(m-n)(m+n)+2(m-n)=\\\\=(m-n)(m+n+2)[/tex]
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[tex]m^{2}+2m-n^{2}-2n=m^{2}-n^{2}+2m-2n=(m-n)(m+n)+2(m-n)=\\\\=(m-n)(m+n+2)[/tex]