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6m^{2}+25nm+11n^{2}
Consider 6m^{2}+25mn+11n^{2} as a polynomial over variable m.
\left(2m+n\right)\left(3m+11n\right)
Find one factor of the form km^{p}+q, where km^{p} divides the monomial with the highest power 6m^{2} and q divides the constant factor 11n^{2}. One such factor is 2m+n. Factor the polynomial by dividing it by this factor.