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¿cómo vas a descomponer esta expresión en fracciones?:
(x*(x-1)^2)^(1/3)*((x-1)^2/3+x*(-2+2*x)/3)/(x*(x-1)^2)
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z/(2*z-4)-(z^2+4)/(2*z^2-8)-z/(z^2+2*z)
Factorizar el polinomio:
z^2-8*p*z-z+4*p+16*p^2
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z^2+6*z+1
Descomponer al cuadrado:
y^4-y^2+9
y^4+y^2-8
-y^4+y^2+9
y^4-y^2-5
Expresiones idénticas
sqrt((x+ uno)/(x- uno))*(x- uno)*(uno /(dos *(x- uno))-(x+ uno)/(dos *(x- uno)^ dos))/(x+ uno)
raíz cuadrada de ((x más 1) dividir por (x menos 1)) multiplicar por (x menos 1) multiplicar por (1 dividir por (2 multiplicar por (x menos 1)) menos (x más 1) dividir por (2 multiplicar por (x menos 1) al cuadrado )) dividir por (x más 1)
raíz cuadrada de ((x más uno) dividir por (x menos uno)) multiplicar por (x menos uno) multiplicar por (uno dividir por (dos multiplicar por (x menos uno)) menos (x más uno) dividir por (dos multiplicar por (x menos uno) en el grado dos)) dividir por (x más uno)
√((x+1)/(x-1))*(x-1)*(1/(2*(x-1))-(x+1)/(2*(x-1)^2))/(x+1)
sqrt((x+1)/(x-1))*(x-1)*(1/(2*(x-1))-(x+1)/(2*(x-1)2))/(x+1)
sqrtx+1/x-1*x-1*1/2*x-1-x+1/2*x-12/x+1
sqrt((x+1)/(x-1))*(x-1)*(1/(2*(x-1))-(x+1)/(2*(x-1)²))/(x+1)
sqrt((x+1)/(x-1))*(x-1)*(1/(2*(x-1))-(x+1)/(2*(x-1) en el grado 2))/(x+1)
sqrt((x+1)/(x-1))(x-1)(1/(2(x-1))-(x+1)/(2(x-1)^2))/(x+1)
sqrt((x+1)/(x-1))(x-1)(1/(2(x-1))-(x+1)/(2(x-1)2))/(x+1)
sqrtx+1/x-1x-11/2x-1-x+1/2x-12/x+1
sqrtx+1/x-1x-11/2x-1-x+1/2x-1^2/x+1
sqrt((x+1) dividir por (x-1))*(x-1)*(1 dividir por (2*(x-1))-(x+1) dividir por (2*(x-1)^2)) dividir por (x+1)
Expresiones semejantes
sqrt((x-1)/(x-1))*(x-1)*(1/(2*(x-1))-(x+1)/(2*(x-1)^2))/(x+1)
sqrt((x+1)/(x-1))*(x-1)*(1/(2*(x-1))-(x+1)/(2*(x-1)^2))/(x-1)
sqrt((x+1)/(x+1))*(x-1)*(1/(2*(x-1))-(x+1)/(2*(x-1)^2))/(x+1)
sqrt((x+1)/(x-1))*(x-1)*(1/(2*(x-1))+(x+1)/(2*(x-1)^2))/(x+1)
sqrt((x+1)/(x-1))*(x-1)*(1/(2*(x-1))-(x+1)/(2*(x+1)^2))/(x+1)
sqrt((x+1)/(x-1))*(x+1)*(1/(2*(x-1))-(x+1)/(2*(x-1)^2))/(x+1)
sqrt((x+1)/(x-1))*(x-1)*(1/(2*(x-1))-(x-1)/(2*(x-1)^2))/(x+1)
sqrt((x+1)/(x-1))*(x-1)*(1/(2*(x+1))-(x+1)/(2*(x-1)^2))/(x+1)
Expresiones con funciones
Raíz cuadrada sqrt
sqrt(x)/(2*sqrt(1-x))+asin(sqrt(x))
sqrt((625*x^4+25*10^10*x^2)/(1+25*x^2))
sqrt(4*(-9*cos(4*pi*K/3)/(pi^2*K^2)+3*sin(2*pi*K/3)/(pi*K)-9*cos(2*pi*K/3)/(2*pi^2*K^2)-3*sin(4*pi*K/3)/(2*pi*K)+27*sin(2*pi*K/3)/(4*pi^3*K^3)+27*sin(4*pi*K/3)/(4*pi^3*K^3))^2/9+4*(-3*cos(2*pi*K/3)/(pi*K)+9*sin(4*pi*K/3)/(pi^2*K^2)-27*cos(2*pi*K/3)/(4*pi^3*K^3)-9*sin(2*pi*K/3)/(2*pi^2*K^2)-3*cos(4*pi*K/3)/(2*pi*K)+27*cos(4*pi*K/3)/(4*pi^3*K^3))^2/9)
sqrt(x^2+x+1)*(-1/4+x/2)+(1+(1/2+x)/sqrt(x^2+x+1))/(4*(x+1/2+sqrt(x^2+x+1)))+(1/2+x)*(x^2/4-x/4)/sqrt(x^2+x+1)
sqrt(2)/(sqrt(8)+2)-((6-sqrt(32))/sqrt(8)-3)

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

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

Solución

Ha introducido [src]

    _______                                 
   / x + 1          /    1         x + 1   \
  /  ----- *(x - 1)*|--------- - ----------|
\/   x - 1          |2*(x - 1)            2|
                    \            2*(x - 1) /
--------------------------------------------
                   x + 1

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

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

Simplificación general [src]

     ________ 
    / 1 + x   
-  /  ------  
 \/   -1 + x  
--------------
         2    
   -1 + x

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

-sqrt((1 + x)/(-1 + x))/(-1 + x^2)

Respuesta numérica [src]

((1.0 + x)/(-1.0 + x))^0.5*(-1.0 + x)*(1/(-2.0 + 2.0*x) - 0.5*(1.0 + x)/(-1.0 + x)^2)/(1.0 + x)

((1.0 + x)/(-1.0 + x))^0.5*(-1.0 + x)*(1/(-2.0 + 2.0*x) - 0.5*(1.0 + x)/(-1.0 + x)^2)/(1.0 + x)

Denominador racional [src]

      _______________            _______________                   _______________
     /   1       x         2    /   1       x                2    /   1       x   
2*  /  ----- + -----  - 2*x *  /  ----- + -----  + 2*(-1 + x) *  /  ----- + ----- 
  \/   x - 1   x - 1         \/   x - 1   x - 1                \/   x - 1   x - 1 
----------------------------------------------------------------------------------
                          2*(1 + x)*(-1 + x)*(-2 + 2*x)

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

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

Parte trigonométrica [src]

    ________                                  
   / 1 + x            /   1          1 + x   \
  /  ------ *(-1 + x)*|-------- - -----------|
\/   -1 + x           |-2 + 2*x             2|
                      \           2*(-1 + x) /
----------------------------------------------
                    1 + x

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

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

Combinatoria [src]

      ________  
     / 1 + x    
 -  /  ------   
  \/   -1 + x   
----------------
(1 + x)*(-1 + x)

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

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

Unión de expresiones racionales [src]

      ________  
     / 1 + x    
 -  /  ------   
  \/   -1 + x   
----------------
(1 + x)*(-1 + x)

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

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

Abrimos la expresión [src]

    _______                                 
   /   1            /    1         x + 1   \
  /  ----- *(x - 1)*|--------- - ----------|
\/   x - 1          |2*(x - 1)            2|
                    \            2*(x - 1) /
--------------------------------------------
                   _______                  
                 \/ x + 1

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

    _______                                 
   / x + 1          /    1         x + 1   \
  /  ----- *(x - 1)*|--------- - ----------|
\/   x - 1          |2*(x - 1)            2|
                    \            2*(x - 1) /
--------------------------------------------
                   x + 1

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

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

Compilar la expresión [src]

    ________                                  
   / 1 + x            /   1          1 + x   \
  /  ------ *(-1 + x)*|-------- - -----------|
\/   -1 + x           |-2 + 2*x             2|
                      \           2*(-1 + x) /
----------------------------------------------
                    1 + x

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

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

Potencias [src]

    ________                                  
   / 1 + x            /   1          1 + x   \
  /  ------ *(-1 + x)*|-------- - -----------|
\/   -1 + x           |-2 + 2*x             2|
                      \           2*(-1 + x) /
----------------------------------------------
                    1 + x

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

                      /              1   x \
    ________          |            - - - - |
   / 1 + x            |   1          2   2 |
  /  ------ *(-1 + x)*|-------- + ---------|
\/   -1 + x           |-2 + 2*x           2|
                      \           (-1 + x) /
--------------------------------------------
                   1 + x

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

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

Denominador común [src]

     _________________ 
    /   1        x     
-  /  ------ + ------  
 \/   -1 + x   -1 + x  
-----------------------
              2        
        -1 + x

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

-sqrt(1/(-1 + x) + x/(-1 + x))/(-1 + x^2)

Otras calculadoras

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Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

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

Solución

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