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Simplificación de expresiones/ Descomposición en fracciones simples/ (z/(z-1))+((z^2-1.0923*z)/(z^2-1.9061*z+0.9277))

¿Cómo vas a descomponer esta (z/(z-1))+((z^2-1.0923*z)/(z^2-1.9061*z+0.9277)) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src] 
             2                
  z         z  - 1.0923*z     
----- + ----------------------
z - 1    2                    
        z  - 1.9061*z + 0.9277
zz−1+z2−1.0923z(z2−1.9061z)+0.9277\frac{z}{z - 1} + \frac{z^{2} - 1.0923 z}{\left(z^{2} - 1.9061 z\right) + 0.9277} 
z/(z - 1) + (z^2 - 1.0923*z)/(z^2 - 1.9061*z + 0.9277)
Descomposición de una fracción [src] 
2.0 + 1.25515295413097*(0.508663230617392 + 0.49725847132361*z^2 - 1.0*z)/(-0.31922507828361 + 0.344103781700561*z^3 + 0.975121296583049*z - 1.0*z^2)
1.25515295413097(0.49725847132361z2−1.0z+0.508663230617392)0.344103781700561z3−1.0z2+0.975121296583049z−0.31922507828361+2.0\frac{1.25515295413097 \left(0.49725847132361 z^{2} - 1.0 z + 0.508663230617392\right)}{0.344103781700561 z^{3} - 1.0 z^{2} + 0.975121296583049 z - 0.31922507828361} + 2.0 
                          /                                      2        \  
         1.25515295413097*\0.508663230617392 + 0.49725847132361*z  - 1.0*z/  
2.0 + -----------------------------------------------------------------------
                                             3                              2
      -0.31922507828361 + 0.344103781700561*z  + 0.975121296583049*z - 1.0*z
Simplificación general [src] 
  /          2                                    \
z*\0.9277 + z  - 1.9061*z + (-1 + z)*(-1.0923 + z)/
---------------------------------------------------
                  /          2           \         
         (-1 + z)*\0.9277 + z  - 1.9061*z/
z(z2−1.9061z+(z−1.0923)(z−1)+0.9277)(z−1)(z2−1.9061z+0.9277)\frac{z \left(z^{2} - 1.9061 z + \left(z - 1.0923\right) \left(z - 1\right) + 0.9277\right)}{\left(z - 1\right) \left(z^{2} - 1.9061 z + 0.9277\right)} 
z*(0.9277 + z^2 - 1.9061*z + (-1 + z)*(-1.0923 + z))/((-1 + z)*(0.9277 + z^2 - 1.9061*z))
Parte trigonométrica [src] 
              2                
  z          z  - 1.0923*z     
------ + ----------------------
-1 + z             2           
         0.9277 + z  - 1.9061*z
zz−1+z2−1.0923zz2−1.9061z+0.9277\frac{z}{z - 1} + \frac{z^{2} - 1.0923 z}{z^{2} - 1.9061 z + 0.9277} 
z/(-1 + z) + (z^2 - 1.0923*z)/(0.9277 + z^2 - 1.9061*z)
Compilar la expresión [src] 
              2                
  z          z  - 1.0923*z     
------ + ----------------------
-1 + z             2           
         0.9277 + z  - 1.9061*z
zz−1+z2−1.0923zz2−1.9061z+0.9277\frac{z}{z - 1} + \frac{z^{2} - 1.0923 z}{z^{2} - 1.9061 z + 0.9277} 
z/(-1 + z) + (z^2 - 1.0923*z)/(0.9277 + z^2 - 1.9061*z)
Potencias [src] 
              2                
  z          z  - 1.0923*z     
------ + ----------------------
-1 + z             2           
         0.9277 + z  - 1.9061*z
zz−1+z2−1.0923zz2−1.9061z+0.9277\frac{z}{z - 1} + \frac{z^{2} - 1.0923 z}{z^{2} - 1.9061 z + 0.9277} 
z/(-1 + z) + (z^2 - 1.0923*z)/(0.9277 + z^2 - 1.9061*z)
Denominador racional [src] 
  /          2           \            / 2           \
z*\0.9277 + z  - 1.9061*z/ + (-1 + z)*\z  - 1.0923*z/
-----------------------------------------------------
                   /          2           \          
          (-1 + z)*\0.9277 + z  - 1.9061*z/
z(z2−1.9061z+0.9277)+(z−1)(z2−1.0923z)(z−1)(z2−1.9061z+0.9277)\frac{z \left(z^{2} - 1.9061 z + 0.9277\right) + \left(z - 1\right) \left(z^{2} - 1.0923 z\right)}{\left(z - 1\right) \left(z^{2} - 1.9061 z + 0.9277\right)} 
(z*(0.9277 + z^2 - 1.9061*z) + (-1 + z)*(z^2 - 1.0923*z))/((-1 + z)*(0.9277 + z^2 - 1.9061*z))
Respuesta numérica [src] 
z/(-1.0 + z) + (z^2 - 1.0923*z)/(0.9277 + z^2 - 1.9061*z)
z/(-1.0 + z) + (z^2 - 1.0923*z)/(0.9277 + z^2 - 1.9061*z)
Unión de expresiones racionales [src] 
z*(0.9277 + z*(-1.9061 + z) + (-1 + z)*(-1.0923 + z))
-----------------------------------------------------
         (-1 + z)*(0.9277 + z*(-1.9061 + z))
z(z(z−1.9061)+(z−1.0923)(z−1)+0.9277)(z−1)(z(z−1.9061)+0.9277)\frac{z \left(z \left(z - 1.9061\right) + \left(z - 1.0923\right) \left(z - 1\right) + 0.9277\right)}{\left(z - 1\right) \left(z \left(z - 1.9061\right) + 0.9277\right)} 
z*(0.9277 + z*(-1.9061 + z) + (-1 + z)*(-1.0923 + z))/((-1 + z)*(0.9277 + z*(-1.9061 + z)))
Denominador común [src] 
            /                 2           \  
        1.0*\1.8554 + 1.8138*z  - 3.6476*z/  
2.0 + ---------------------------------------
                     3                      2
      -0.9277 + 1.0*z  + 2.8338*z - 2.9061*z
1.0(1.8138z2−3.6476z+1.8554)1.0z3−2.9061z2+2.8338z−0.9277+2.0\frac{1.0 \left(1.8138 z^{2} - 3.6476 z + 1.8554\right)}{1.0 z^{3} - 2.9061 z^{2} + 2.8338 z - 0.9277} + 2.0 
2.0 + 1.0*(1.8554 + 1.8138*z^2 - 3.6476*z)/(-0.9277 + 1.0*z^3 + 2.8338*z - 2.9061*z^2)
Combinatoria [src] 
                   /                                       2        \
2.09768637532134*z*\0.505202080832333 + 0.500200080032013*z  - 1.0*z/
---------------------------------------------------------------------
              /                                       2        \     
     (-1 + z)*\0.486700592833534 + 0.524631446408898*z  - 1.0*z/
2.09768637532134z(0.500200080032013z2−1.0z+0.505202080832333)(z−1)(0.524631446408898z2−1.0z+0.486700592833534)\frac{2.09768637532134 z \left(0.500200080032013 z^{2} - 1.0 z + 0.505202080832333\right)}{\left(z - 1\right) \left(0.524631446408898 z^{2} - 1.0 z + 0.486700592833534\right)} 
2.09768637532134*z*(0.505202080832333 + 0.500200080032013*z^2 - 1.0*z)/((-1 + z)*(0.486700592833534 + 0.524631446408898*z^2 - 1.0*z))
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