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MathGroup Archive 1995

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Re: Polonomyal Quotient

  • To: mathgroup at smc.vnet.net
  • Subject: [mg2381] Re: Polonomyal Quotient
  • From: espen.haslund at fys.uio.no (Espen Haslund)
  • Date: Tue, 31 Oct 1995 23:22:06 -0500
  • Organization: Universitet i Oslo

In article <46n9mt$4cd at ralph.vnet.net>, hans.steffani at e-technik.tu-chemnitz.de (Hans Steffani) says:
>
>In[5]:= (1.  t^3 + 2 t^5) / ( t^2 ( 3 + 4 t^2) )
>

.....

>How can I make mathematica calculating
>
>In[11]:= Simplify[Numerator[Out[6]]/t^2] /  Simplify[Denominator[Out[6]]/t^2]
>
>                   3
>         1. t + 2 t
>Out[11]= -----------
>                 2
>          3 + 4 t
>
>
>Hans Friedrich Steffani
>--
>Hans Friedrich Steffani
>Institut fuer Elektrische Maschinen und Antriebe
>TU Chemnitz-Zwickau
>e-mail: hans.steffani at e-technik.tu-chemnitz.de
>
>
>
expr =  (1.  t^3 + 2 t^5) / ( t^2 ( 3 + 4 t^2) )

    3      5
1. t  + 2 t
-------------
 2         2
t  (3 + 4 t )


(* The combination of Expand and Together do the trick *)
(* in your particular case *)
Together[Expand[expr  ] ] 

            3
2 (0.5 t + t )
--------------
          2
   3 + 4 t

(* To avoid the number two outside *)
ExpandNumerator[Together[Expand[expr  ] ] ] 

          3
1. t + 2 t
-----------
        2
 3 + 4 t


Hope this is of some help.
Espen Haslund
espen.haslund at fys.uio.no


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