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Question: How to programmatically rewrite (x + y/z) as (xz+ y)/z ?

Question:How to programmatically rewrite (x + y/z) as (xz+ y)/z ?

symbolics08 24 Maple
input
May 25 2008
0

Given "(x + y/z)" as input, how do I get the same expression in the form of "(xz+ y)/z". I need to make this conversion, so that I can discard  the denominator and use the numerator "xz +y" as a monomial in Groebner Basis.

Note that the input form may not always have 2 terms. It may be arbitrarily long or may not be in any standard form. It may be like  "x+y", or "x + y + (2*w)/z - p/3 +10", or "c", or  "x/2"   . . . .All that can be assumed about the input is that they are all polynomials bound together with the 5 operators (+, -, *, / and ^), and that whatever the output is, the denominator can be assumed to be not equal to 0.

Thanks a lot.
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