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m^{2}\left(-m+1\right)-m+1
Do the grouping m^{2}-m^{3}+1-m=\left(m^{2}-m^{3}\right)+\left(1-m\right), and factor out m^{2} in m^{2}-m^{3}.
\left(-m+1\right)\left(m^{2}+1\right)
Factor out common term -m+1 by using distributive property. Polynomial m^{2}+1 is not factored since it does not have any rational roots.