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¿cómo vas a descomponer esta expresión en fracciones?:
(z/c+c/z)/(z^2+c^2)/(5*z^9*c)
y+y/x-y+1/(x^2)-x
(x^2-x-12)/(x+3)
-z^3-(-1)*z^2*y*(-x)*z/(z^2+x*y)-y^2*x*(-x)*z/((z^2+x*y)*((z^2+x*y)^2))
Factorizar el polinomio:
y*y/x-x^2+x*y/x-y^2
z^2+4*z+5
y^x*y^3-y-1+y^x*y
y-5*x^2/4-11/2
Descomponer al cuadrado:
y^4+9*y^2-6
y^4+9*y^2-3
y^4-9*y^2-3
y^4+9*y^2+5
Expresiones idénticas
sqrt(x/(x- uno))*(x- uno)*(uno /(dos *(x- uno))-x/(dos *(x- uno)^ dos))/(x*sqrt(uno -x/(x- uno)))
raíz cuadrada de (x dividir por (x menos 1)) multiplicar por (x menos 1) multiplicar por (1 dividir por (2 multiplicar por (x menos 1)) menos x dividir por (2 multiplicar por (x menos 1) al cuadrado )) dividir por (x multiplicar por raíz cuadrada de (1 menos x dividir por (x menos 1)))
raíz cuadrada de (x dividir por (x menos uno)) multiplicar por (x menos uno) multiplicar por (uno dividir por (dos multiplicar por (x menos uno)) menos x dividir por (dos multiplicar por (x menos uno) en el grado dos)) dividir por (x multiplicar por raíz cuadrada de (uno menos x dividir por (x menos uno)))
√(x/(x-1))*(x-1)*(1/(2*(x-1))-x/(2*(x-1)^2))/(x*√(1-x/(x-1)))
sqrt(x/(x-1))*(x-1)*(1/(2*(x-1))-x/(2*(x-1)2))/(x*sqrt(1-x/(x-1)))
sqrtx/x-1*x-1*1/2*x-1-x/2*x-12/x*sqrt1-x/x-1
sqrt(x/(x-1))*(x-1)*(1/(2*(x-1))-x/(2*(x-1)²))/(x*sqrt(1-x/(x-1)))
sqrt(x/(x-1))*(x-1)*(1/(2*(x-1))-x/(2*(x-1) en el grado 2))/(x*sqrt(1-x/(x-1)))
sqrt(x/(x-1))(x-1)(1/(2(x-1))-x/(2(x-1)^2))/(xsqrt(1-x/(x-1)))
sqrt(x/(x-1))(x-1)(1/(2(x-1))-x/(2(x-1)2))/(xsqrt(1-x/(x-1)))
sqrtx/x-1x-11/2x-1-x/2x-12/xsqrt1-x/x-1
sqrtx/x-1x-11/2x-1-x/2x-1^2/xsqrt1-x/x-1
sqrt(x dividir por (x-1))*(x-1)*(1 dividir por (2*(x-1))-x dividir por (2*(x-1)^2)) dividir por (x*sqrt(1-x dividir por (x-1)))
Expresiones semejantes
sqrt(x/(x-1))*(x-1)*(1/(2*(x-1))-x/(2*(x-1)^2))/(x*sqrt(1-x/(x+1)))
sqrt(x/(x+1))*(x-1)*(1/(2*(x-1))-x/(2*(x-1)^2))/(x*sqrt(1-x/(x-1)))
sqrt(x/(x-1))*(x-1)*(1/(2*(x+1))-x/(2*(x-1)^2))/(x*sqrt(1-x/(x-1)))
sqrt(x/(x-1))*(x-1)*(1/(2*(x-1))-x/(2*(x-1)^2))/(x*sqrt(1+x/(x-1)))
sqrt(x/(x-1))*(x-1)*(1/(2*(x-1))+x/(2*(x-1)^2))/(x*sqrt(1-x/(x-1)))
sqrt(x/(x-1))*(x+1)*(1/(2*(x-1))-x/(2*(x-1)^2))/(x*sqrt(1-x/(x-1)))
sqrt(x/(x-1))*(x-1)*(1/(2*(x-1))-x/(2*(x+1)^2))/(x*sqrt(1-x/(x-1)))
Expresiones con funciones
Raíz cuadrada sqrt
sqrt((49/50-x^2/(193/2)^2)*71²)
sqrt(x)-2/(sqrt(x)-3)-sqrt(x)/(2*sqrt(x)-3)
sqrt(7)*(sqrt(7)+7*x)/(7*sqrt(7*x^2-4)*(sqrt(7)*x+sqrt(7*x^2-4)))
sqrt((5-2*x)*(6-x))*(-17/2+2*x)/((5-2*x)*(6-x))
sqrt((a*b*c+4)/a+4*sqrt(b*c/a))/(sqrt(a*b*c)+2)
Raíz cuadrada sqrt
sqrt((49/50-x^2/(193/2)^2)*71²)
sqrt(x)-2/(sqrt(x)-3)-sqrt(x)/(2*sqrt(x)-3)
sqrt(7)*(sqrt(7)+7*x)/(7*sqrt(7*x^2-4)*(sqrt(7)*x+sqrt(7*x^2-4)))
sqrt((5-2*x)*(6-x))*(-17/2+2*x)/((5-2*x)*(6-x))
sqrt((a*b*c+4)/a+4*sqrt(b*c/a))/(sqrt(a*b*c)+2)

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

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

Solución

Ha introducido [src]

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

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

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

Simplificación general [src]

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

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

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

Combinatoria [src]

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

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

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

Potencias [src]

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

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

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

Respuesta numérica [src]

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

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

Unión de expresiones racionales [src]

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

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

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

Denominador común [src]

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

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

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

Abrimos la expresión [src]

    _______                                 
   /   1            /    1           x     \
  /  ----- *(x - 1)*|--------- - ----------|
\/   x - 1          |2*(x - 1)            2|
                    \            2*(x - 1) /
--------------------------------------------
                     ___________            
             ___    /       x               
           \/ x *  /  1 - -----             
                 \/       x - 1

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

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

Compilar la expresión [src]

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

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

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

Parte trigonométrica [src]

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

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

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

Denominador racional [src]

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

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

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

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

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

Solución

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