Respuesta :
For this case we have the following expression:
[tex]\frac {x} {x ^ 2-1} - \frac {1} {x-1}[/tex]
To simplify we have:
[tex](x ^ 2-1) = (x + 1) (x-1)[/tex]
Rewriting with the same denominator we have:
[tex]\frac {x- (x + 1)} {x ^ 2-1} =\\\frac {x- (x + 1)} {(x + 1) (x-1)} =\\\frac {x-x-1)} {(x + 1) (x-1)} =\\\frac {-1)} {(x + 1) (x-1)} =\\- \frac {1} {(x + 1) (x-1)}[/tex]
Thus, the simplified expression is:
[tex]- \frac {1} {(x + 1) (x-1)}[/tex]
Answer:
[tex]- \frac {1} {(x + 1) (x-1)}[/tex]