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9m^{2}-6m+2n-n^{2}
Consider 9m^{2}-6m+2n-n^{2} as a polynomial over variable m.
\left(3m-n\right)\left(3m+n-2\right)
Find one factor of the form km^{p}+q, where km^{p} divides the monomial with the highest power 9m^{2} and q divides the constant factor -n^{2}+2n. One such factor is 3m-n. Factor the polynomial by dividing it by this factor.