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How do you (1/(s+1))*(1/(s-1)) in partial fractions?

An expression to simplify:

The solution

You have entered [src]
       1       
---------------
(s + 1)*(s - 1)
$$\frac{1}{\left(s - 1\right) \left(s + 1\right)}$$
1/((s + 1)*(s - 1))
Fraction decomposition [src]
1/(2*(-1 + s)) - 1/(2*(1 + s))
$$- \frac{1}{2 \left(s + 1\right)} + \frac{1}{2 \left(s - 1\right)}$$
    1            1    
---------- - ---------
2*(-1 + s)   2*(1 + s)
General simplification [src]
   1   
-------
      2
-1 + s 
$$\frac{1}{s^{2} - 1}$$
1/(-1 + s^2)
Numerical answer [src]
1/((1.0 + s)*(-1.0 + s))
1/((1.0 + s)*(-1.0 + s))
Common denominator [src]
   1   
-------
      2
-1 + s 
$$\frac{1}{s^{2} - 1}$$
1/(-1 + s^2)