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3m^{2}+\left(-n-9\right)m-10n^{2}-15n
Consider 3m^{2}-mn-10n^{2}-9m-15n as a polynomial over variable m.
\left(3m+5n\right)\left(m-2n-3\right)
Find one factor of the form km^{p}+q, where km^{p} divides the monomial with the highest power 3m^{2} and q divides the constant factor -10n^{2}-15n. One such factor is 3m+5n. Factor the polynomial by dividing it by this factor.