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Question: Can this formula be simplified?

Question:Can this formula be simplified?

lcz 1009 Maple
product simplification
August 04 2020
0

Not long ago, I asked such a question, Refer to the link below
https://www.mapleprimes.com/questions/230245-Expression-With-Products-In-Both-Numerator
thank you very much for your help！Special thanks to vv.
Actually, the problem I'm having is a complex expression like this:

q^r*product((q^(n - 1) - q^(i - 1))^2, i = 1 .. r)*(q^(-2 + 2*n - r) - 2*q^(n - 1) + 1)/product(q^r - q^i, i = 0 .. r - 1) - q^(r - 1)*product((q^(n - 1) - q^(i - 1))^2, i = 1 .. r - 1)*(q^(2*n - 1 - r) - 2*q^(n - 1) + 1)/product(q^(r - 1) - q^i, i = 0 .. r - 2)


I tried to simplify it, but It didn't work that well.

simplify(%)

 

I always feel that this formula can be further simplified, but there is no way to start. Of course, My thoughts maybe incorrect. maybe this is the simplest form.

 

 

 

 

 

 
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