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m^{3}+2m^{2}+2m+1+\left(m^{2}-m-1\right)\left(m-1\right)-2m\left(m^{2}+1\right)
Use the distributive property to multiply m^{2}+m+1 by m+1 and combine like terms.
m^{3}+2m^{2}+2m+1+m^{3}-2m^{2}+1-2m\left(m^{2}+1\right)
Use the distributive property to multiply m^{2}-m-1 by m-1 and combine like terms.
2m^{3}+2m^{2}+2m+1-2m^{2}+1-2m\left(m^{2}+1\right)
Combine m^{3} and m^{3} to get 2m^{3}.
2m^{3}+2m+1+1-2m\left(m^{2}+1\right)
Combine 2m^{2} and -2m^{2} to get 0.
2m^{3}+2m+2-2m\left(m^{2}+1\right)
Add 1 and 1 to get 2.
2m^{3}+2m+2-2m^{3}-2m
Use the distributive property to multiply -2m by m^{2}+1.
2m+2-2m
Combine 2m^{3} and -2m^{3} to get 0.
2
Combine 2m and -2m to get 0.