SOLUTION: which of the following is equal to x/1-1/x? & Simplify 1/1-x+x/x^2-1? thanks , screenshot of questions below. http://prntscr.com/9gn9l6 http://prntscr.com/9gna26

Algebra ->  Rational-functions -> SOLUTION: which of the following is equal to x/1-1/x? & Simplify 1/1-x+x/x^2-1? thanks , screenshot of questions below. http://prntscr.com/9gn9l6 http://prntscr.com/9gna26      Log On


   



Question 1011175: which of the following is equal to x/1-1/x?
&
Simplify 1/1-x+x/x^2-1?
thanks , screenshot of questions below.
http://prntscr.com/9gn9l6
http://prntscr.com/9gna26

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x/1-(1/x)=x^2/x-1, if you multiply top and bottom by x.
1/(1-x) + x/(x^2-1)
=-1(x-1 )+ x/(x+1)(x-1)
=-x+1+x/(x^2-1)
=1/(x^2-1)