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Question about diff. operators



Hello,

I have a problem with the use of pure operators. I would like to 
calculate P L - L P with

d=(D[#,x]&)

and

L=d[d] + u[x]
P=d[d] + 6 u[x] d + 3 u'[x]

How is this possible, and how can i get the result 
[PL-LP][u[x]]

Thanks in advance

--------------------------------------------------------------------------------
Peter MEURIS
Belgian Institute for space aeronomy
Ringlaan 3
1180 BRUSSEL
BELGIUM
phone : +32.2.373.04.18
fax   : +32.2.374.84.23
E-mail: peterm at plasma.oma.be
wtalk : peter at iaspc8.oma.be
URL   : http://www.oma.be/BIRA-IASB/Welcome.html
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