After having Maple for a week I'm happy with it but still have to learn a lot about the kinds of problems it can solve.  Here is a problem I solved many years ago whose solution I have misplaced.  I'm wondering if Maple could help me recover my solution.

Write an expression for ab (a and b real) using only the unit (1) and the operations of adding, subtracting, and taking the reciprocal.

I'm also curious whether this is a well-known problem.  As I recall, I didn't find any references to it when I worked on it before.


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