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16m^{2}-31nm-2n^{2}
Consider 16m^{2}-31mn-2n^{2} as a polynomial over variable m.
\left(16m+n\right)\left(m-2n\right)
Find one factor of the form km^{p}+q, where km^{p} divides the monomial with the highest power 16m^{2} and q divides the constant factor -2n^{2}. One such factor is 16m+n. Factor the polynomial by dividing it by this factor.