Question: how to manupulate algebraic expression

 

please help me here:

I have:

a(n):=(27720*n^(6)+83160*n^(5)+93030*n^(4)+47460*n^(3)+10689*n^(2)+819*n+5)/(27720*n^(7)+97020*n^(6)+132300*n^(5)+88200*n^(4)+29400*n^(3)+4410*n^(2)+210*n):

now i want to multiply by (n+1/2) that is

a(n)*(n+1/2)

now i want to express it in a simples form. may be like this:

c(n) + d(n)/p(n)

 

 

 

 

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