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

An expression to simplify:

The solution

You have entered [src]
 2   1 
x  + --
      2
     x 
$$x^{2} + \frac{1}{x^{2}}$$
x^2 + 1/(x^2)
Fraction decomposition [src]
x^(-2) + x^2
$$x^{2} + \frac{1}{x^{2}}$$
1     2
-- + x 
 2     
x      
General simplification [src]
     4
1 + x 
------
   2  
  x   
$$\frac{x^{4} + 1}{x^{2}}$$
(1 + x^4)/x^2
Numerical answer [src]
x^(-2) + x^2
x^(-2) + x^2
Combining rational expressions [src]
     4
1 + x 
------
   2  
  x   
$$\frac{x^{4} + 1}{x^{2}}$$
(1 + x^4)/x^2
Combinatorics [src]
     4
1 + x 
------
   2  
  x   
$$\frac{x^{4} + 1}{x^{2}}$$
(1 + x^4)/x^2
Rational denominator [src]
     4
1 + x 
------
   2  
  x   
$$\frac{x^{4} + 1}{x^{2}}$$
(1 + x^4)/x^2