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6\left(5m^{2}-13mn+6n^{2}\right)
Factor out 6.
5m^{2}-13nm+6n^{2}
Consider 5m^{2}-13mn+6n^{2}. Consider 5m^{2}-13mn+6n^{2} as a polynomial over variable m.
\left(5m-3n\right)\left(m-2n\right)
Find one factor of the form km^{p}+q, where km^{p} divides the monomial with the highest power 5m^{2} and q divides the constant factor 6n^{2}. One such factor is 5m-3n. Factor the polynomial by dividing it by this factor.
6\left(5m-3n\right)\left(m-2n\right)
Rewrite the complete factored expression.