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How do you 1/(x^4+x^2) in partial fractions?

An expression to simplify:

The solution

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