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

An expression to simplify:

The solution

You have entered [src]
    2   
   x    
--------
       2
(x - 2) 
$$\frac{x^{2}}{\left(x - 2\right)^{2}}$$
x^2/(x - 2)^2
Fraction decomposition [src]
1 + 4/(-2 + x) + 4/(-2 + x)^2
$$1 + \frac{4}{x - 2} + \frac{4}{\left(x - 2\right)^{2}}$$
      4          4    
1 + ------ + ---------
    -2 + x           2
             (-2 + x) 
Numerical answer [src]
0.25*x^2/(-1 + 0.5*x)^2
0.25*x^2/(-1 + 0.5*x)^2
Common denominator [src]
      -4 + 4*x  
1 + ------------
         2      
    4 + x  - 4*x
$$\frac{4 x - 4}{x^{2} - 4 x + 4} + 1$$
1 + (-4 + 4*x)/(4 + x^2 - 4*x)