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¿cómo vas a descomponer esta expresión en fracciones?:
(z/(z-1))+((z^2-1.0923*z)/(z^2-1.9061*z+0.9277))
(x*(x-6)^2)^(1/3)*((x-6)^2/3+x*(-12+2*x)/3)/(x*(x-6)^2)
1/(3*sqrt(1-x^2/9))
(z*z-1/2*z)/(z*z-z+1)*z/(z-1/2)
Factorizar el polinomio:
z^3/4-2*z^3/9+7*z^3/12
z^3+5*z^2+4*z-10
z^2-8*p^z-z+4*p+16*p^2
z^10*g^20-1
Descomponer al cuadrado:
-y^4+y^2+5
-y^4+y^2+15
y^4-y^2+11
y^4-y^2+1
Expresiones idénticas
exp(x)/sqrt(uno -exp(dos *x))-exp(dos *x)/(sqrt(uno -e^(dos *x))*sqrt(exp(dos *x)))
exponente de (x) dividir por raíz cuadrada de (1 menos exponente de (2 multiplicar por x)) menos exponente de (2 multiplicar por x) dividir por ( raíz cuadrada de (1 menos e en el grado (2 multiplicar por x)) multiplicar por raíz cuadrada de ( exponente de (2 multiplicar por x)))
exponente de (x) dividir por raíz cuadrada de (uno menos exponente de (dos multiplicar por x)) menos exponente de (dos multiplicar por x) dividir por ( raíz cuadrada de (uno menos e en el grado (dos multiplicar por x)) multiplicar por raíz cuadrada de ( exponente de (dos multiplicar por x)))
exp(x)/√(1-exp(2*x))-exp(2*x)/(√(1-e^(2*x))*√(exp(2*x)))
exp(x)/sqrt(1-exp(2*x))-exp(2*x)/(sqrt(1-e(2*x))*sqrt(exp(2*x)))
expx/sqrt1-exp2*x-exp2*x/sqrt1-e2*x*sqrtexp2*x
exp(x)/sqrt(1-exp(2x))-exp(2x)/(sqrt(1-e^(2x))sqrt(exp(2x)))
exp(x)/sqrt(1-exp(2x))-exp(2x)/(sqrt(1-e(2x))sqrt(exp(2x)))
expx/sqrt1-exp2x-exp2x/sqrt1-e2xsqrtexp2x
expx/sqrt1-exp2x-exp2x/sqrt1-e^2xsqrtexp2x
exp(x) dividir por sqrt(1-exp(2*x))-exp(2*x) dividir por (sqrt(1-e^(2*x))*sqrt(exp(2*x)))
Expresiones semejantes
exp(x)/sqrt(1-exp(2*x))-exp(2*x)/(sqrt(1+e^(2*x))*sqrt(exp(2*x)))
exp(x)/sqrt(1-exp(2*x))+exp(2*x)/(sqrt(1-e^(2*x))*sqrt(exp(2*x)))
exp(x)/sqrt(1+exp(2*x))-exp(2*x)/(sqrt(1-e^(2*x))*sqrt(exp(2*x)))
Expresiones con funciones
Exponente exp
exp(-2/(3*pi))
exp(x)/(x^3+5)-3*x^2*exp(x)/(x^3+5)^2
exp(1/(2*x^2))/x
exp(z)/(z-1)^3-3*exp(z)/(z-1)^4
exp(x+2)/(x+sin(x)^(-1))^(1/3)+(cos(x)+tan(x))/(2*(log(x)/log(2)))
Raíz cuadrada sqrt
sqrt((625*x^4+25*10^10*x^2)/(1+25*x^2))
sqrt(-x/(-1+x))*(-1+x/(-1+x))*(2/x+2/(-1+x)+(-1+x/(-1+x))/x)/(4*x)
sqrt(x)*(-1+4*x)+(2*x^2-x)/(2*sqrt(x))
sqrt((625*x^4+25*10^10*x^2)/(1+25*x^2)^2)
sqrt(x)*(-3+5*x^4)+(x^5-3*x)/(2*sqrt(x))
Exponente exp
exp(-2/(3*pi))
exp(x)/(x^3+5)-3*x^2*exp(x)/(x^3+5)^2
exp(1/(2*x^2))/x
exp(z)/(z-1)^3-3*exp(z)/(z-1)^4
exp(x+2)/(x+sin(x)^(-1))^(1/3)+(cos(x)+tan(x))/(2*(log(x)/log(2)))
Exponente exp
exp(-2/(3*pi))
exp(x)/(x^3+5)-3*x^2*exp(x)/(x^3+5)^2
exp(1/(2*x^2))/x
exp(z)/(z-1)^3-3*exp(z)/(z-1)^4
exp(x+2)/(x+sin(x)^(-1))^(1/3)+(cos(x)+tan(x))/(2*(log(x)/log(2)))
Raíz cuadrada sqrt
sqrt((625*x^4+25*10^10*x^2)/(1+25*x^2))
sqrt(-x/(-1+x))*(-1+x/(-1+x))*(2/x+2/(-1+x)+(-1+x/(-1+x))/x)/(4*x)
sqrt(x)*(-1+4*x)+(2*x^2-x)/(2*sqrt(x))
sqrt((625*x^4+25*10^10*x^2)/(1+25*x^2)^2)
sqrt(x)*(-3+5*x^4)+(x^5-3*x)/(2*sqrt(x))
Raíz cuadrada sqrt
sqrt((625*x^4+25*10^10*x^2)/(1+25*x^2))
sqrt(-x/(-1+x))*(-1+x/(-1+x))*(2/x+2/(-1+x)+(-1+x/(-1+x))/x)/(4*x)
sqrt(x)*(-1+4*x)+(2*x^2-x)/(2*sqrt(x))
sqrt((625*x^4+25*10^10*x^2)/(1+25*x^2)^2)
sqrt(x)*(-3+5*x^4)+(x^5-3*x)/(2*sqrt(x))
Exponente exp
exp(-2/(3*pi))
exp(x)/(x^3+5)-3*x^2*exp(x)/(x^3+5)^2
exp(1/(2*x^2))/x
exp(z)/(z-1)^3-3*exp(z)/(z-1)^4
exp(x+2)/(x+sin(x)^(-1))^(1/3)+(cos(x)+tan(x))/(2*(log(x)/log(2)))

Simplificación de expresiones/ Descomposición en fracciones simples/ exp(x)/sqrt(1-exp(2*x))-exp(2*x)/(sqrt(1-e^(2*x))*sqrt(exp(2*x)))

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

Solución

Ha introducido [src]

       x                   2*x         
      e                   e            
------------- - -----------------------
   __________      __________    ______
  /      2*x      /      2*x    /  2*x 
\/  1 - e       \/  1 - E    *\/  e

$$\frac{e^{x}}{\sqrt{1 - e^{2 x}}} - \frac{e^{2 x}}{\sqrt{1 - e^{2 x}} \sqrt{e^{2 x}}}$$

exp(x)/sqrt(1 - exp(2*x)) - exp(2*x)/(sqrt(1 - E^(2*x))*sqrt(exp(2*x)))

Simplificación general [src]

  /   ______     \     
  |  /  2*x     x|  x  
  \\/  e     - e /*e   
-----------------------
   __________    ______
  /      2*x    /  2*x 
\/  1 - e    *\/  e

$$\frac{\left(- e^{x} + \sqrt{e^{2 x}}\right) e^{x}}{\sqrt{1 - e^{2 x}} \sqrt{e^{2 x}}}$$

(sqrt(exp(2*x)) - exp(x))*exp(x)/(sqrt(1 - exp(2*x))*sqrt(exp(2*x)))

Respuesta numérica [src]

(1.0 - exp(2*x))^(-0.5)*exp(x) - (1.0 - 2.71828182845905^(2.0*x))^(-0.5)*exp(2*x)^(-0.5)*exp(2*x)

(1.0 - exp(2*x))^(-0.5)*exp(x) - (1.0 - 2.71828182845905^(2.0*x))^(-0.5)*exp(2*x)^(-0.5)*exp(2*x)

Compilar la expresión [src]

       x                   2*x         
      e                   e            
------------- - -----------------------
   __________      __________    ______
  /      2*x      /      2*x    /  2*x 
\/  1 - e       \/  1 - e    *\/  e

$$- \frac{e^{2 x}}{\sqrt{1 - e^{2 x}} \sqrt{e^{2 x}}} + \frac{e^{x}}{\sqrt{1 - e^{2 x}}}$$

exp(x)/sqrt(1 - exp(2*x)) - exp(2*x)/(sqrt(1 - exp(2*x))*sqrt(exp(2*x)))

Denominador común [src]

 /     ______          \ 
 |    /  2*x   x    2*x| 
-\- \/  e    *e  + e   / 
-------------------------
    __________    ______ 
   /      2*x    /  2*x  
 \/  1 - e    *\/  e

$$- \frac{e^{2 x} - e^{x} \sqrt{e^{2 x}}}{\sqrt{1 - e^{2 x}} \sqrt{e^{2 x}}}$$

-(-sqrt(exp(2*x))*exp(x) + exp(2*x))/(sqrt(1 - exp(2*x))*sqrt(exp(2*x)))

Denominador racional [src]

/   __________    ______           __________        \      
|  /      2*x    /  2*x   2*x     /      2*x   x  2*x|  -2*x
\\/  1 - e    *\/  e    *e    - \/  1 - e    *e *e   /*e    
------------------------------------------------------------
                               2*x                          
                         -1 + e

$$\frac{\left(\sqrt{1 - e^{2 x}} \sqrt{e^{2 x}} e^{2 x} - \sqrt{1 - e^{2 x}} e^{x} e^{2 x}\right) e^{- 2 x}}{e^{2 x} - 1}$$

(sqrt(1 - exp(2*x))*sqrt(exp(2*x))*exp(2*x) - sqrt(1 - exp(2*x))*exp(x)*exp(2*x))*exp(-2*x)/(-1 + exp(2*x))

Potencias [src]

       x                   2*x         
      e                   e            
------------- - -----------------------
   __________      __________    ______
  /      2*x      /      2*x    /  2*x 
\/  1 - e       \/  1 - e    *\/  e

$$- \frac{e^{2 x}}{\sqrt{1 - e^{2 x}} \sqrt{e^{2 x}}} + \frac{e^{x}}{\sqrt{1 - e^{2 x}}}$$

       x                 2*x        
      e                 e           
------------- - --------------------
   __________      _________________
  /      2*x      / /     2*x\  2*x 
\/  1 - e       \/  \1 - e   /*e

$$\frac{e^{x}}{\sqrt{1 - e^{2 x}}} - \frac{e^{2 x}}{\sqrt{\left(1 - e^{2 x}\right) e^{2 x}}}$$

exp(x)/sqrt(1 - exp(2*x)) - exp(2*x)/sqrt((1 - exp(2*x))*exp(2*x))

Unión de expresiones racionales [src]

  /   ______     \     
  |  /  2*x     x|  x  
  \\/  e     - e /*e   
-----------------------
   __________    ______
  /      2*x    /  2*x 
\/  1 - e    *\/  e

$$\frac{\left(- e^{x} + \sqrt{e^{2 x}}\right) e^{x}}{\sqrt{1 - e^{2 x}} \sqrt{e^{2 x}}}$$

(sqrt(exp(2*x)) - exp(x))*exp(x)/(sqrt(1 - exp(2*x))*sqrt(exp(2*x)))

Parte trigonométrica [src]

       x                   2*x         
      e                   e            
------------- - -----------------------
   __________      __________    ______
  /      2*x      /      2*x    /  2*x 
\/  1 - e       \/  1 - e    *\/  e

$$- \frac{e^{2 x}}{\sqrt{1 - e^{2 x}} \sqrt{e^{2 x}}} + \frac{e^{x}}{\sqrt{1 - e^{2 x}}}$$

    _______________________                    
- \/ cosh(2*x) + sinh(2*x)  + cosh(x) + sinh(x)
-----------------------------------------------
           ___________________________         
         \/ 1 - cosh(2*x) - sinh(2*x)

$$\frac{- \sqrt{\sinh{\left(2 x \right)} + \cosh{\left(2 x \right)}} + \sinh{\left(x \right)} + \cosh{\left(x \right)}}{\sqrt{- \sinh{\left(2 x \right)} - \cosh{\left(2 x \right)} + 1}}$$

                                    _______________________  
      cosh(x) + sinh(x)           \/ cosh(2*x) + sinh(2*x)   
----------------------------- - -----------------------------
  ___________________________     ___________________________
\/ 1 - cosh(2*x) - sinh(2*x)    \/ 1 - cosh(2*x) - sinh(2*x)

$$\frac{\sinh{\left(x \right)} + \cosh{\left(x \right)}}{\sqrt{- \sinh{\left(2 x \right)} - \cosh{\left(2 x \right)} + 1}} - \frac{\sqrt{\sinh{\left(2 x \right)} + \cosh{\left(2 x \right)}}}{\sqrt{- \sinh{\left(2 x \right)} - \cosh{\left(2 x \right)} + 1}}$$

                                     _______________________   
      cosh(x) + sinh(x)            \/ cosh(2*x) + sinh(2*x)    
----------------------------- - -------------------------------
  ___________________________      ____________________________
\/ 1 - cosh(2*x) - sinh(2*x)      /                        2*x 
                                \/  1 - (cosh(1) + sinh(1))

$$\frac{\sinh{\left(x \right)} + \cosh{\left(x \right)}}{\sqrt{- \sinh{\left(2 x \right)} - \cosh{\left(2 x \right)} + 1}} - \frac{\sqrt{\sinh{\left(2 x \right)} + \cosh{\left(2 x \right)}}}{\sqrt{1 - \left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{2 x}}}$$

(cosh(x) + sinh(x))/sqrt(1 - cosh(2*x) - sinh(2*x)) - sqrt(cosh(2*x) + sinh(2*x))/sqrt(1 - (cosh(1) + sinh(1))^(2*x))

Combinatoria [src]

      /     ______     \          
      |    /  2*x     x|  x       
     -\- \/  e     + e /*e        
----------------------------------
   _____________________    ______
  /  /     x\ /      x\    /  2*x 
\/  -\1 + e /*\-1 + e / *\/  e

$$- \frac{\left(e^{x} - \sqrt{e^{2 x}}\right) e^{x}}{\sqrt{- \left(e^{x} - 1\right) \left(e^{x} + 1\right)} \sqrt{e^{2 x}}}$$

-(-sqrt(exp(2*x)) + exp(x))*exp(x)/(sqrt(-(1 + exp(x))*(-1 + exp(x)))*sqrt(exp(2*x)))

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

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

Solución

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