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

Expresión a simplificar:

Solución

Ha introducido [src]
     _________ 
    /    1     
-  /  -------  
 \/   2*x + 1  
---------------
    2*x + 1    
$$\frac{\left(-1\right) \sqrt{\frac{1}{2 x + 1}}}{2 x + 1}$$
(-sqrt(1/(2*x + 1)))/(2*x + 1)
Simplificación general [src]
     _________ 
    /    1     
-  /  -------  
 \/   1 + 2*x  
---------------
    1 + 2*x    
$$- \frac{\sqrt{\frac{1}{2 x + 1}}}{2 x + 1}$$
-sqrt(1/(1 + 2*x))/(1 + 2*x)
Compilar la expresión [src]
     _________ 
    /    1     
-  /  -------  
 \/   1 + 2*x  
---------------
    1 + 2*x    
$$- \frac{\sqrt{\frac{1}{2 x + 1}}}{2 x + 1}$$
-sqrt(1/(1 + 2*x))/(1 + 2*x)
Denominador racional [src]
     _________ 
    /    1     
-  /  -------  
 \/   2*x + 1  
---------------
    1 + 2*x    
$$- \frac{\sqrt{\frac{1}{2 x + 1}}}{2 x + 1}$$
-sqrt(1/(2*x + 1))/(1 + 2*x)
Denominador común [src]
     _________ 
    /    1     
-  /  -------  
 \/   1 + 2*x  
---------------
    1 + 2*x    
$$- \frac{\sqrt{\frac{1}{2 x + 1}}}{2 x + 1}$$
-sqrt(1/(1 + 2*x))/(1 + 2*x)
Respuesta numérica [src]
-(1/(1.0 + 2.0*x))^0.5/(1.0 + 2.0*x)
-(1/(1.0 + 2.0*x))^0.5/(1.0 + 2.0*x)
Unión de expresiones racionales [src]
     _________ 
    /    1     
-  /  -------  
 \/   1 + 2*x  
---------------
    1 + 2*x    
$$- \frac{\sqrt{\frac{1}{2 x + 1}}}{2 x + 1}$$
-sqrt(1/(1 + 2*x))/(1 + 2*x)
Parte trigonométrica [src]
     _________ 
    /    1     
-  /  -------  
 \/   1 + 2*x  
---------------
    1 + 2*x    
$$- \frac{\sqrt{\frac{1}{2 x + 1}}}{2 x + 1}$$
-sqrt(1/(1 + 2*x))/(1 + 2*x)
Combinatoria [src]
     _________ 
    /    1     
-  /  -------  
 \/   1 + 2*x  
---------------
    1 + 2*x    
$$- \frac{\sqrt{\frac{1}{2 x + 1}}}{2 x + 1}$$
-sqrt(1/(1 + 2*x))/(1 + 2*x)
Potencias [src]
     _________ 
    /    1     
-  /  -------  
 \/   1 + 2*x  
---------------
    1 + 2*x    
$$- \frac{\sqrt{\frac{1}{2 x + 1}}}{2 x + 1}$$
-sqrt(1/(1 + 2*x))/(1 + 2*x)