You are not getting rplies because we do not understand your problem.
Do you mean
[(x+1)/m] - m
or do you mean
x + (1/m) - m
or what ?
1] Reducing the Denominator: x + 1/m -m.
2] Factor the numerator.
3 answers
x + (1/m) - m
Oh sorry it's not x + (1/m) - m but x + (1/x) - m