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

An expression to simplify:

The solution

You have entered [src]
          -2           
-----------------------
/       2    \         
|(x + 1)     |        2
|-------- + 1|*(1 - x) 
|       2    |         
\(1 - x)     /         
$$- \frac{2}{\left(1 - x\right)^{2} \left(1 + \frac{\left(x + 1\right)^{2}}{\left(1 - x\right)^{2}}\right)}$$
-2*1/((1 - x)^2*((x + 1)^2/(1 - x)^2 + 1))
Fraction decomposition [src]
-1/(1 + x^2)
$$- \frac{1}{x^{2} + 1}$$
 -1   
------
     2
1 + x 
General simplification [src]
 -1   
------
     2
1 + x 
$$- \frac{1}{x^{2} + 1}$$
-1/(1 + x^2)
Rational denominator [src]
 -1   
------
     2
1 + x 
$$- \frac{1}{x^{2} + 1}$$
-1/(1 + x^2)
Numerical answer [src]
-2.0/((1.0 - x)^2*(1.0 + (1.0 + x)^2/(1.0 - x)^2))
-2.0/((1.0 - x)^2*(1.0 + (1.0 + x)^2/(1.0 - x)^2))
Common denominator [src]
 -1   
------
     2
1 + x 
$$- \frac{1}{x^{2} + 1}$$
-1/(1 + x^2)
Combinatorics [src]
 -1   
------
     2
1 + x 
$$- \frac{1}{x^{2} + 1}$$
-1/(1 + x^2)
Combining rational expressions [src]
        -2         
-------------------
       2          2
(1 + x)  + (1 - x) 
$$- \frac{2}{\left(1 - x\right)^{2} + \left(x + 1\right)^{2}}$$
-2/((1 + x)^2 + (1 - x)^2)