Question: Simplification in Maple in particular form

Hello everyone. I am new to Maple. I am trying to simplify an expression in Maple. The expression is like:

u := a+b*x+a/x+b*x^7+c

If I use simplify(u) Maple returns the result as:

 (a*x+b*x^2+a+b*x^8+c*x)/x

If I want the result in the form:

u = a*(x+1)/x+b*x*(1+x^6)+c

or

u = a*(1+1/x)+b*x*(1+x^6)+c

 

How should I proceed? Is it possible to do this?

 

 

 

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