<PRE><B>Question 196946</B>
1/(x-5) -x/(x^2-25)
.
LCD  is  (x+5)(x-5)  = x^2 -25
.
{ (x+5) -x }  / ( x^2 -25)
.
5/ (x^2-25)
.
now if  we  want  to  divide  this  by (5/2x),,,  we  could  multiply  by  (2x/5)
.
5 / (x^2 -25)  *  2x/5 = 2x / (x^2 -25),,,,answer
.
checking
with  x=1,,original  is  ,,,-  1/12
and  final  answer  is  ,,,,  -1/12,,,,ok</PRE>