Factor
\frac{\left(6m-n\right)\left(12m-n+3\right)}{12}
Evaluate
\frac{\left(6m-n\right)\left(12m-n+3\right)}{12}
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\frac{72m^{2}-18mn+n^{2}+18m-3n}{12}
Factor out \frac{1}{12}.
72m^{2}+\left(-18n+18\right)m+n^{2}-3n
Consider 72m^{2}-18mn+n^{2}+18m-3n. Consider 72m^{2}-18mn+n^{2}+18m-3n as a polynomial over variable m.
\left(6m-n\right)\left(12m-n+3\right)
Find one factor of the form km^{p}+q, where km^{p} divides the monomial with the highest power 72m^{2} and q divides the constant factor n^{2}-3n. One such factor is 6m-n. Factor the polynomial by dividing it by this factor.
\frac{\left(6m-n\right)\left(12m-n+3\right)}{12}
Rewrite the complete factored expression.
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Limits
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