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

An expression to simplify:

The solution

You have entered [src]
   x  
  E   
------
 x    
E  + 2
$$\frac{e^{x}}{e^{x} + 2}$$
E^x/(E^x + 2)
Fraction decomposition [src]
1 - 2/(2 + exp(x))
$$1 - \frac{2}{e^{x} + 2}$$
      2   
1 - ------
         x
    2 + e 
Numerical answer [src]
2.71828182845905^x/(2.0 + 2.71828182845905^x)
2.71828182845905^x/(2.0 + 2.71828182845905^x)
Common denominator [src]
      2   
1 - ------
         x
    2 + e 
$$1 - \frac{2}{e^{x} + 2}$$
1 - 2/(2 + exp(x))
Trigonometric part [src]
                     x  
  (cosh(1) + sinh(1))   
------------------------
                       x
2 + (cosh(1) + sinh(1)) 
$$\frac{\left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{x}}{\left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{x} + 2}$$
  cosh(x) + sinh(x)  
---------------------
2 + cosh(x) + sinh(x)
$$\frac{\sinh{\left(x \right)} + \cosh{\left(x \right)}}{\sinh{\left(x \right)} + \cosh{\left(x \right)} + 2}$$
(cosh(x) + sinh(x))/(2 + cosh(x) + sinh(x))