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¿Cómo vas a descomponer esta (-1-x^2/(h^2-x)^2)/sqrt(h^2-x^2) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src]
          2   
         x    
-1 - ---------
             2
     / 2    \ 
     \h  - x/ 
--------------
    _________ 
   /  2    2  
 \/  h  - x   
$$\frac{- \frac{x^{2}}{\left(h^{2} - x\right)^{2}} - 1}{\sqrt{h^{2} - x^{2}}}$$
(-1 - x^2/(h^2 - x)^2)/sqrt(h^2 - x^2)
Simplificación general [src]
   /             2\   
   | 2   / 2    \ |   
  -\x  + \h  - x/ /   
----------------------
        2    _________
/ 2    \    /  2    2 
\h  - x/ *\/  h  - x  
$$- \frac{x^{2} + \left(h^{2} - x\right)^{2}}{\left(h^{2} - x\right)^{2} \sqrt{h^{2} - x^{2}}}$$
-(x^2 + (h^2 - x)^2)/((h^2 - x)^2*sqrt(h^2 - x^2))
Respuesta numérica [src]
(h^2 - x^2)^(-0.5)*(-1.0 - x^2/(h^2 - x)^2)
(h^2 - x^2)^(-0.5)*(-1.0 - x^2/(h^2 - x)^2)
Combinatoria [src]
     / 4      2        2\     
    -\h  + 2*x  - 2*x*h /     
------------------------------
                             2
  __________________ /     2\ 
\/ -(h + x)*(x - h) *\x - h / 
$$- \frac{h^{4} - 2 h^{2} x + 2 x^{2}}{\sqrt{- \left(- h + x\right) \left(h + x\right)} \left(- h^{2} + x\right)^{2}}$$
-(h^4 + 2*x^2 - 2*x*h^2)/(sqrt(-(h + x)*(x - h))*(x - h^2)^2)
Unión de expresiones racionales [src]
                  2   
      2   / 2    \    
   - x  - \h  - x/    
----------------------
        2    _________
/ 2    \    /  2    2 
\h  - x/ *\/  h  - x  
$$\frac{- x^{2} - \left(h^{2} - x\right)^{2}}{\left(h^{2} - x\right)^{2} \sqrt{h^{2} - x^{2}}}$$
(-x^2 - (h^2 - x)^2)/((h^2 - x)^2*sqrt(h^2 - x^2))
Denominador racional [src]
        _________           2    _________
   2   /  2    2    / 2    \    /  2    2 
- x *\/  h  - x   - \h  - x/ *\/  h  - x  
------------------------------------------
                   2                      
           / 2    \  / 2    2\            
           \h  - x/ *\h  - x /            
$$\frac{- x^{2} \sqrt{h^{2} - x^{2}} - \left(h^{2} - x\right)^{2} \sqrt{h^{2} - x^{2}}}{\left(h^{2} - x\right)^{2} \left(h^{2} - x^{2}\right)}$$
(-x^2*sqrt(h^2 - x^2) - (h^2 - x)^2*sqrt(h^2 - x^2))/((h^2 - x)^2*(h^2 - x^2))
Denominador común [src]
                  / 4      2        2\                 
                 -\h  + 2*x  - 2*x*h /                 
-------------------------------------------------------
      _________         _________             _________
 4   /  2    2     2   /  2    2         2   /  2    2 
h *\/  h  - x   + x *\/  h  - x   - 2*x*h *\/  h  - x  
$$- \frac{h^{4} - 2 h^{2} x + 2 x^{2}}{h^{4} \sqrt{h^{2} - x^{2}} - 2 h^{2} x \sqrt{h^{2} - x^{2}} + x^{2} \sqrt{h^{2} - x^{2}}}$$
-(h^4 + 2*x^2 - 2*x*h^2)/(h^4*sqrt(h^2 - x^2) + x^2*sqrt(h^2 - x^2) - 2*x*h^2*sqrt(h^2 - x^2))