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Is it possible to somehow use the expression that Mathematica has collected once the Collect command has been used?

What I mean is, I have an expression like this (this is imaginary example)

(a[x,y]+b[x,y]+c[x,y]^2) z^5+a[x,y]^3 z^4+(b[x,y]+c[x,y]^4) z^3

That I got after I made Collect[expression,z,Simplify].

What I'd like to do is to have command that will, for instance, give me the term that goes along z^5 (the (a[x,y]+b[x,y]+c[x,y]^2))?

I didn't find any examples of it, and Collect in help has no such examples.

EDIT:

Can this be done with the help of Coefficient command?

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    $\begingroup$ Perhaps Coefficient can be of help? As in Coefficient[expr,z,5] $\endgroup$ – Peltio Nov 15 '13 at 12:07
  • $\begingroup$ That's it. I knew there had to be some way :) Thanks! $\endgroup$ – dingo_d Nov 15 '13 at 12:48
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This is one way:

 ex = (a[x, y] + b[x, y] + c[x, y]^2) z^5 + 
   a[x, y]^3 z^4 + (b[x, y] + c[x, y]^4) z^3;

Coefficient[ex, z^5]

(* a[x, y] + b[x, y] + c[x, y]^2 *)

This is another, if you do not like the first one:

    Plus @@ (List @@ ex[[Position[List @@ ex, z^5][[1, 1]], 2]])

(*  a[x, y] + b[x, y] + c[x, y]^2  *)
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  • $\begingroup$ Yup that works, just like Peltio suggested :) $\endgroup$ – dingo_d Nov 15 '13 at 12:49

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