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¿Cómo vas a descomponer esta (z/c+c/z)/(z^2+c^2)/(5*z^9*c) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src]
/ z   c \
| - + - |
| c   z |
|-------|
| 2    2|
\z  + c /
---------
     9   
  5*z *c 
$$\frac{\frac{1}{c^{2} + z^{2}} \left(\frac{c}{z} + \frac{z}{c}\right)}{c 5 z^{9}}$$
((z/c + c/z)/(z^2 + c^2))/(((5*z^9)*c))
Simplificación general [src]
   1    
--------
   2  10
5*c *z  
$$\frac{1}{5 c^{2} z^{10}}$$
1/(5*c^2*z^10)
Respuesta numérica [src]
0.2*(c/z + z/c)/(c*z^9*(c^2 + z^2))
0.2*(c/z + z/c)/(c*z^9*(c^2 + z^2))
Compilar la expresión [src]
     c   z      
     - + -      
     z   c      
----------------
     9 / 2    2\
5*c*z *\c  + z /
$$\frac{\frac{c}{z} + \frac{z}{c}}{5 c z^{9} \left(c^{2} + z^{2}\right)}$$
(c/z + z/c)/(5*c*z^9*(c^2 + z^2))
Abrimos la expresión [src]
     z   c      
     - + -      
     c   z      
----------------
     9 / 2    2\
5*c*z *\z  + c /
$$\frac{\frac{c}{z} + \frac{z}{c}}{5 c z^{9} \left(c^{2} + z^{2}\right)}$$
(z/c + c/z)/(5*c*z^9*(z^2 + c^2))
Combinatoria [src]
   1    
--------
   2  10
5*c *z  
$$\frac{1}{5 c^{2} z^{10}}$$
1/(5*c^2*z^10)
Potencias [src]
   c     z    
  --- + ---   
  5*z   5*c   
--------------
   9 / 2    2\
c*z *\c  + z /
$$\frac{\frac{c}{5 z} + \frac{z}{5 c}}{c z^{9} \left(c^{2} + z^{2}\right)}$$
     c   z      
     - + -      
     z   c      
----------------
     9 / 2    2\
5*c*z *\c  + z /
$$\frac{\frac{c}{z} + \frac{z}{c}}{5 c z^{9} \left(c^{2} + z^{2}\right)}$$
(c/z + z/c)/(5*c*z^9*(c^2 + z^2))
Parte trigonométrica [src]
     c   z      
     - + -      
     z   c      
----------------
     9 / 2    2\
5*c*z *\c  + z /
$$\frac{\frac{c}{z} + \frac{z}{c}}{5 c z^{9} \left(c^{2} + z^{2}\right)}$$
(c/z + z/c)/(5*c*z^9*(c^2 + z^2))
Denominador racional [src]
   1    
--------
   2  10
5*c *z  
$$\frac{1}{5 c^{2} z^{10}}$$
1/(5*c^2*z^10)
Denominador común [src]
   1    
--------
   2  10
5*c *z  
$$\frac{1}{5 c^{2} z^{10}}$$
1/(5*c^2*z^10)
Unión de expresiones racionales [src]
   1    
--------
   2  10
5*c *z  
$$\frac{1}{5 c^{2} z^{10}}$$
1/(5*c^2*z^10)