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