Factor
\left(2m-n\right)\left(6mn+10n^{2}-5\right)
Evaluate
\left(2m-n\right)\left(6mn+10n^{2}-5\right)
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12nm^{2}+\left(14n^{2}-10\right)m-10n^{3}+5n
Consider 12m^{2}n+14mn^{2}-10n^{3}-10m+5n as a polynomial over variable m.
\left(2m-n\right)\left(6mn+10n^{2}-5\right)
Find one factor of the form knm^{p}+q, where knm^{p} divides the monomial with the highest power 12nm^{2} and q divides the constant factor -10n^{3}+5n. One such factor is 2m-n. Factor the polynomial by dividing it by this factor.
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