Please solve the following question:

If x,y,z ϵ R then xy/(x+y) + yz/(y+z) +xz/(x+z) is

Dear Rakesh

 

I think this should be a proof type question. Because if you ate only asking for solution it can be solved easily by taking LCM. But this is not useful as everyone knows this.

This can be shown in many forms. So please check and repost the question