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Least common denominator x^2+25/x-5-10*x/x-5

An expression to simplify:

The solution

You have entered [src]
 2   25       10*x    
x  + -- - 5 - ---- - 5
     x         x      
$$\left(\left(\left(x^{2} + \frac{25}{x}\right) - 5\right) - \frac{10 x}{x}\right) - 5$$
x^2 + 25/x - 5 - 10*x/x - 5
Fraction decomposition [src]
-20 + x^2 + 25/x
$$x^{2} - 20 + \frac{25}{x}$$
       2   25
-20 + x  + --
           x 
General simplification [src]
       2   25
-20 + x  + --
           x 
$$x^{2} - 20 + \frac{25}{x}$$
-20 + x^2 + 25/x
Trigonometric part [src]
       2   25
-20 + x  + --
           x 
$$x^{2} - 20 + \frac{25}{x}$$
-20 + x^2 + 25/x
Combinatorics [src]
        /     2      \
(5 + x)*\5 + x  - 5*x/
----------------------
          x           
$$\frac{\left(x + 5\right) \left(x^{2} - 5 x + 5\right)}{x}$$
(5 + x)*(5 + x^2 - 5*x)/x
Assemble expression [src]
       2   25
-20 + x  + --
           x 
$$x^{2} - 20 + \frac{25}{x}$$
-20 + x^2 + 25/x
Powers [src]
       2   25
-20 + x  + --
           x 
$$x^{2} - 20 + \frac{25}{x}$$
-20 + x^2 + 25/x
Common denominator [src]
       2   25
-20 + x  + --
           x 
$$x^{2} - 20 + \frac{25}{x}$$
-20 + x^2 + 25/x
Numerical answer [src]
-20.0 + x^2 + 25.0/x
-20.0 + x^2 + 25.0/x
Combining rational expressions [src]
      3       
25 + x  - 20*x
--------------
      x       
$$\frac{x^{3} - 20 x + 25}{x}$$
(25 + x^3 - 20*x)/x
Rational denominator [src]
      3       
25 + x  - 20*x
--------------
      x       
$$\frac{x^{3} - 20 x + 25}{x}$$
(25 + x^3 - 20*x)/x