Question: evaluating split operators to a given order

I am interested in implementing this worksheet: http://www.yorku.ca/marko/ComPhys/NoncomProduct/NoncomProduct.html

and variations on it, in maple.  However, it seems very clumsy.  acer of stackoverflow (http://stackoverflow.com/questions/21051935/taylor-expansion-of-an-operator-product) recomended I ask my question here.

would this worksheet be super easy to implement in maple 17 (don`t know what the difference between maple 17 and mapleprimes is..)? 

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