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¿cómo vas a descomponer esta expresión en fracciones?:
(s+3)/(5*s+15)
c^(k+5)*c^k/(c^2)^k
-2/((((x+1)^2/(1-x)^2)+1)*(1-x)^2)
(z+1)/(z+2)^3/(z-1)
Factorizar el polinomio:
y^3+y
y^3-6*y^2*x+12*y*x^2-8*x^3
z^3+5*z^2
y^3-3*y^2+6*y-8
Descomponer al cuadrado:
-y^4+8*y^2+2
y^4+8*y^2-3
-y^4-7*y^2-9
y^4+8*y^2-1
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 más 1)) multiplicar por (x más 1) multiplicar por (1 dividir por (2 multiplicar por (x más 1)) menos x dividir por (2 multiplicar por (x más 1) al cuadrado )) dividir por (x multiplicar por raíz cuadrada de (1 menos x dividir por (x más 1)))
raíz cuadrada de (x dividir por (x más uno)) multiplicar por (x más uno) multiplicar por (uno dividir por (dos multiplicar por (x más uno)) menos x dividir por (dos multiplicar por (x más uno) en el grado dos)) dividir por (x multiplicar por raíz cuadrada de (uno menos x dividir por (x más 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((x-9)/(x+9))*(x+9)*(1/(2*(x+9))-(x-9)/(2*(x+9)^2))/(x-9)
sqrt(x*x-2*x-1)/2-(1+(x-1)/(x-1))/(x-1+(sqrt(x-1))^2-2)+(-1+x)*(x/2-1/2)/sqrt(x*x-2*x-1)
sqrt(x)+(x-3)/(2*sqrt(x))
sqrt((x/(x+1))^2)*(x+1)*(2/(x+1)-2*x/(x+1)^2)/(2*x)
sqrt(x^3/(x-3))*(x-3)*(-x^3/(2*(x-3)^2)+3*x^2/(2*(x-3)))/x^3
Raíz cuadrada sqrt
sqrt((x-9)/(x+9))*(x+9)*(1/(2*(x+9))-(x-9)/(2*(x+9)^2))/(x-9)
sqrt(x*x-2*x-1)/2-(1+(x-1)/(x-1))/(x-1+(sqrt(x-1))^2-2)+(-1+x)*(x/2-1/2)/sqrt(x*x-2*x-1)
sqrt(x)+(x-3)/(2*sqrt(x))
sqrt((x/(x+1))^2)*(x+1)*(2/(x+1)-2*x/(x+1)^2)/(2*x)
sqrt(x^3/(x-3))*(x-3)*(-x^3/(2*(x-3)^2)+3*x^2/(2*(x-3)))/x^3

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

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

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

Denominador racional [src]

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

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)))

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)))

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)

Unión de expresiones racionales [src]

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

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

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

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)))

Combinatoria [src]

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

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

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

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?