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

*To*: mathgroup at smc.vnet.net*Subject*: [mg89157] How to programmatically rewrite (x + y/z) as (xz+ y)/z ?*From*: TuesdayShopping <TuesdayShopping at yahoo.com>*Date*: Tue, 27 May 2008 07:15:55 -0400 (EDT)

Given "(x + y/z)" as input, how do I get the same expression in the form of "(xz+ y)/z". 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.