To simplify the given expression, first distribute the (2m+2) term:
4m^3 - m - (2m+2)(m^2-m+1) = 4m^3 - m - 2m^3 + 2m^2 + 2m - 2
Now, combine like terms:
4m^3 - m - 2m^3 + 2m^2 + 2m - 2 = 2m^3 + 2m^2 + 1
Therefore, 4m^3-m-(2m+2)(m^2-m+1) simplifies to 2m^3 + 2m^2 + 1.
To simplify the given expression, first distribute the (2m+2) term:
4m^3 - m - (2m+2)(m^2-m+1) = 4m^3 - m - 2m^3 + 2m^2 + 2m - 2
Now, combine like terms:
4m^3 - m - 2m^3 + 2m^2 + 2m - 2 = 2m^3 + 2m^2 + 1
Therefore, 4m^3-m-(2m+2)(m^2-m+1) simplifies to 2m^3 + 2m^2 + 1.