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

Expresión a simplificar:

Solución

Ha introducido [src]
  /     -1 + x\
2*|-1 + ------|
  \     2 + x /
---------------
           2   
    (2 + x)    
$$\frac{2 \left(\frac{x - 1}{x + 2} - 1\right)}{\left(x + 2\right)^{2}}$$
(2*(-1 + (-1 + x)/(2 + x)))/(2 + x)^2
Simplificación general [src]
  -6    
--------
       3
(2 + x) 
$$- \frac{6}{\left(x + 2\right)^{3}}$$
-6/(2 + x)^3
Descomposición de una fracción [src]
-6/(2 + x)^3
$$- \frac{6}{\left(x + 2\right)^{3}}$$
  -6    
--------
       3
(2 + x) 
Respuesta numérica [src]
0.25*(-2.0 + 2.0*(-1.0 + x)/(2.0 + x))/(1 + 0.5*x)^2
0.25*(-2.0 + 2.0*(-1.0 + x)/(2.0 + x))/(1 + 0.5*x)^2
Denominador común [src]
        -6          
--------------------
     3      2       
8 + x  + 6*x  + 12*x
$$- \frac{6}{x^{3} + 6 x^{2} + 12 x + 8}$$
-6/(8 + x^3 + 6*x^2 + 12*x)
Potencias [src]
     2*(-1 + x)
-2 + ----------
       2 + x   
---------------
           2   
    (2 + x)    
$$\frac{\frac{2 \left(x - 1\right)}{x + 2} - 2}{\left(x + 2\right)^{2}}$$
     -2 + 2*x
-2 + --------
      2 + x  
-------------
          2  
   (2 + x)   
$$\frac{-2 + \frac{2 x - 2}{x + 2}}{\left(x + 2\right)^{2}}$$
(-2 + (-2 + 2*x)/(2 + x))/(2 + x)^2
Parte trigonométrica [src]
     2*(-1 + x)
-2 + ----------
       2 + x   
---------------
           2   
    (2 + x)    
$$\frac{\frac{2 \left(x - 1\right)}{x + 2} - 2}{\left(x + 2\right)^{2}}$$
(-2 + 2*(-1 + x)/(2 + x))/(2 + x)^2
Unión de expresiones racionales [src]
  -6    
--------
       3
(2 + x) 
$$- \frac{6}{\left(x + 2\right)^{3}}$$
-6/(2 + x)^3
Compilar la expresión [src]
     2*(-1 + x)
-2 + ----------
       2 + x   
---------------
           2   
    (2 + x)    
$$\frac{\frac{2 \left(x - 1\right)}{x + 2} - 2}{\left(x + 2\right)^{2}}$$
(-2 + 2*(-1 + x)/(2 + x))/(2 + x)^2
Combinatoria [src]
  -6    
--------
       3
(2 + x) 
$$- \frac{6}{\left(x + 2\right)^{3}}$$
-6/(2 + x)^3
Denominador racional [src]
  -6    
--------
       3
(2 + x) 
$$- \frac{6}{\left(x + 2\right)^{3}}$$
-6/(2 + x)^3