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2m^{2}+9nm-110n^{2}
Consider 2m^{2}+9mn-110n^{2} as a polynomial over variable m.
\left(2m-11n\right)\left(m+10n\right)
Find one factor of the form km^{p}+q, where km^{p} divides the monomial with the highest power 2m^{2} and q divides the constant factor -110n^{2}. One such factor is 2m-11n. Factor the polynomial by dividing it by this factor.