Something simple enough, I want show (g^n) / (g^n -1) = 1 / 1 - g^(-n) step by step in maple.
The problem I'm having is getting maple to freeze the terms. Maple likes to simplify before I can have it do what I want. I suppose I could make everything a name and show it manually but I would like to force maple to do it.
first setting
h:=g^n/(g^n-1)
so first multiply the numerator and denominator by g^(-n)
have maple show the operation explicitly g^n*(g^(-n)) / (g^n-1)*(g^(-n))
then multiply it out and show 1 / (1-g^(-n))
and finally one more step I would like to add, have maple output 1 / (1-1/(g^n))
