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How do you (x^2+1)/(x-1) in partial fractions?

An expression to simplify:

The solution

You have entered [src]
 2    
x  + 1
------
x - 1 
$$\frac{x^{2} + 1}{x - 1}$$
(x^2 + 1)/(x - 1)
Fraction decomposition [src]
1 + x + 2/(-1 + x)
$$x + 1 + \frac{2}{x - 1}$$
          2   
1 + x + ------
        -1 + x
Common denominator [src]
          2   
1 + x + ------
        -1 + x
$$x + 1 + \frac{2}{x - 1}$$
1 + x + 2/(-1 + x)
Numerical answer [src]
(1.0 + x^2)/(-1.0 + x)
(1.0 + x^2)/(-1.0 + x)