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How do you x/(x+1)^3 in partial fractions?

An expression to simplify:

The solution

You have entered [src]
   x    
--------
       3
(x + 1) 
$$\frac{x}{\left(x + 1\right)^{3}}$$
x/(x + 1)^3
Fraction decomposition [src]
(1 + x)^(-2) - 1/(1 + x)^3
$$\frac{1}{\left(x + 1\right)^{2}} - \frac{1}{\left(x + 1\right)^{3}}$$
   1          1    
-------- - --------
       2          3
(1 + x)    (1 + x) 
Numerical answer [src]
x/(1.0 + x)^3
x/(1.0 + x)^3
Common denominator [src]
         x         
-------------------
     3            2
1 + x  + 3*x + 3*x 
$$\frac{x}{x^{3} + 3 x^{2} + 3 x + 1}$$
x/(1 + x^3 + 3*x + 3*x^2)