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4+2m^{2}+1-3m+3-m
Combine -2m^{2} and 4m^{2} to get 2m^{2}.
5+2m^{2}-3m+3-m
Add 4 and 1 to get 5.
8+2m^{2}-3m-m
Add 5 and 3 to get 8.
8+2m^{2}-4m
Combine -3m and -m to get -4m.
2m^{2}-4m+8
Multiply and combine like terms.
2\left(m^{2}-2m+4\right)
Factor out 2. Polynomial m^{2}-2m+4 is not factored since it does not have any rational roots.