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12\left(m^{5}n+2m^{4}n+m^{3}n\right)
Factor out 12.
m^{3}n\left(m^{2}+2m+1\right)
Consider m^{5}n+2m^{4}n+m^{3}n. Factor out m^{3}n.
\left(m+1\right)^{2}
Consider m^{2}+2m+1. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=m and b=1.
12m^{3}n\left(m+1\right)^{2}
Rewrite the complete factored expression.