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Least common denominator x/x^2-25+5/5-x+1/x+5

An expression to simplify:

The solution

You have entered [src]
x                 1    
-- - 25 + 1 - x + - + 5
 2                x    
x                      
$$\left(\left(- x + \left(\left(\frac{x}{x^{2}} - 25\right) + 1\right)\right) + \frac{1}{x}\right) + 5$$
x/x^2 - 25 + 1 - x + 1/x + 5
Fraction decomposition [src]
-19 - x + 2/x
$$- x - 19 + \frac{2}{x}$$
          2
-19 - x + -
          x
General simplification [src]
          2
-19 - x + -
          x
$$- x - 19 + \frac{2}{x}$$
-19 - x + 2/x
Numerical answer [src]
-19.0 - x + 2/x
-19.0 - x + 2/x
Trigonometric part [src]
          2
-19 - x + -
          x
$$- x - 19 + \frac{2}{x}$$
-19 - x + 2/x
Powers [src]
          2
-19 - x + -
          x
$$- x - 19 + \frac{2}{x}$$
-19 - x + 2/x
Common denominator [src]
          2
-19 - x + -
          x
$$- x - 19 + \frac{2}{x}$$
-19 - x + 2/x
Combinatorics [src]
 /      2       \ 
-\-2 + x  + 19*x/ 
------------------
        x         
$$- \frac{x^{2} + 19 x - 2}{x}$$
-(-2 + x^2 + 19*x)/x
Combining rational expressions [src]
     2       
2 - x  - 19*x
-------------
      x      
$$\frac{- x^{2} - 19 x + 2}{x}$$
(2 - x^2 - 19*x)/x
Rational denominator [src]
 2      3     /     3       2\
x  + 5*x  + x*\x - x  - 24*x /
------------------------------
               3              
              x               
$$\frac{5 x^{3} + x^{2} + x \left(- x^{3} - 24 x^{2} + x\right)}{x^{3}}$$
(x^2 + 5*x^3 + x*(x - x^3 - 24*x^2))/x^3
Assemble expression [src]
          2
-19 - x + -
          x
$$- x - 19 + \frac{2}{x}$$
-19 - x + 2/x