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¿Cómo vas a descomponer esta (3*c+1/c-1+c)*(1/(c+1)) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src]
      1        
3*c + - - 1 + c
      c        
---------------
     c + 1     
c+((3c+1c)1)c+1\frac{c + \left(\left(3 c + \frac{1}{c}\right) - 1\right)}{c + 1}
(3*c + 1/c - 1 + c)/(c + 1)
Simplificación general [src]
1 + c*(-1 + 4*c)
----------------
   c*(1 + c)    
c(4c1)+1c(c+1)\frac{c \left(4 c - 1\right) + 1}{c \left(c + 1\right)}
(1 + c*(-1 + 4*c))/(c*(1 + c))
Descomposición de una fracción [src]
4 + 1/c - 6/(1 + c)
46c+1+1c4 - \frac{6}{c + 1} + \frac{1}{c}
    1     6  
4 + - - -----
    c   1 + c
Respuesta numérica [src]
(-1.0 + 1/c + 4.0*c)/(1.0 + c)
(-1.0 + 1/c + 4.0*c)/(1.0 + c)
Compilar la expresión [src]
     1      
-1 + - + 4*c
     c      
------------
   1 + c    
4c1+1cc+1\frac{4 c - 1 + \frac{1}{c}}{c + 1}
(-1 + 1/c + 4*c)/(1 + c)
Potencias [src]
     1      
-1 + - + 4*c
     c      
------------
   1 + c    
4c1+1cc+1\frac{4 c - 1 + \frac{1}{c}}{c + 1}
(-1 + 1/c + 4*c)/(1 + c)
Unión de expresiones racionales [src]
           2
1 - c + 4*c 
------------
 c*(1 + c)  
4c2c+1c(c+1)\frac{4 c^{2} - c + 1}{c \left(c + 1\right)}
(1 - c + 4*c^2)/(c*(1 + c))
Parte trigonométrica [src]
     1      
-1 + - + 4*c
     c      
------------
   1 + c    
4c1+1cc+1\frac{4 c - 1 + \frac{1}{c}}{c + 1}
(-1 + 1/c + 4*c)/(1 + c)
Combinatoria [src]
           2
1 - c + 4*c 
------------
 c*(1 + c)  
4c2c+1c(c+1)\frac{4 c^{2} - c + 1}{c \left(c + 1\right)}
(1 - c + 4*c^2)/(c*(1 + c))
Denominador común [src]
    -1 + 5*c
4 - --------
          2 
     c + c  
5c1c2+c+4- \frac{5 c - 1}{c^{2} + c} + 4
4 - (-1 + 5*c)/(c + c^2)
Denominador racional [src]
           2
1 - c + 4*c 
------------
 c*(1 + c)  
4c2c+1c(c+1)\frac{4 c^{2} - c + 1}{c \left(c + 1\right)}
(1 - c + 4*c^2)/(c*(1 + c))