SOLUTION: (1-1/x)/(1-1/x^2)

Algebra.Com
Question 612183: (1-1/x)/(1-1/x^2)
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
(1-1/x)/(1-1/x^2)
-------
(x-1)/x / (x^2-1)/x^2
-------
Invert and multiply to get:
[x^2(x-1)] / [x(x^2-1)
-----
Cancel any factor common to numerator and denominator:
-----
= [x] /[x+1]
===================================
Cheers,
Stan H.

RELATED QUESTIONS

1/[1+1/(1-1/x)]=2 (answered by ikleyn,josgarithmetic,MathTherapy,math_tutor2020,greenestamps)
((x)/(x+1))/((1)/(x^2-1) -... (answered by jim_thompson5910)
log[1-{1-(1-x^2)^-1}^-1]^-(1/2) (answered by Fombitz)
2/(x^2-1)+1/(x-1) (answered by Tatiana_Stebko)
1/(x-1)+2... (answered by amarjeeth123)
(X^-1-X^-2)^-1 (answered by jim_thompson5910)
1/x + 1/x+2 =... (answered by stanbon)
(x+1)^2=x+1 (answered by ReadingBoosters)
x(x-1)^(-1/2)+2(x-1)^(1/2) (answered by Fombitz)