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

Expresión a simplificar:

Solución

Ha introducido [src]
       2
/x - 1\ 
|-----| 
\x + 1/ 
$$\left(\frac{x - 1}{x + 1}\right)^{2}$$
((x - 1)/(x + 1))^2
Descomposición de una fracción [src]
1 - 4/(1 + x) + 4/(1 + x)^2
$$1 - \frac{4}{x + 1} + \frac{4}{\left(x + 1\right)^{2}}$$
      4        4    
1 - ----- + --------
    1 + x          2
            (1 + x) 
Simplificación general [src]
        2
(-1 + x) 
---------
        2
 (1 + x) 
$$\frac{\left(x - 1\right)^{2}}{\left(x + 1\right)^{2}}$$
(-1 + x)^2/(1 + x)^2
Respuesta numérica [src]
(-1.0 + x)^2/(1.0 + x)^2
(-1.0 + x)^2/(1.0 + x)^2
Parte trigonométrica [src]
        2
(-1 + x) 
---------
        2
 (1 + x) 
$$\frac{\left(x - 1\right)^{2}}{\left(x + 1\right)^{2}}$$
(-1 + x)^2/(1 + x)^2
Combinatoria [src]
        2
(-1 + x) 
---------
        2
 (1 + x) 
$$\frac{\left(x - 1\right)^{2}}{\left(x + 1\right)^{2}}$$
(-1 + x)^2/(1 + x)^2
Compilar la expresión [src]
        2
(-1 + x) 
---------
        2
 (1 + x) 
$$\frac{\left(x - 1\right)^{2}}{\left(x + 1\right)^{2}}$$
(-1 + x)^2/(1 + x)^2
Denominador racional [src]
        2
(-1 + x) 
---------
        2
 (1 + x) 
$$\frac{\left(x - 1\right)^{2}}{\left(x + 1\right)^{2}}$$
(-1 + x)^2/(1 + x)^2
Denominador común [src]
        4*x     
1 - ------------
         2      
    1 + x  + 2*x
$$- \frac{4 x}{x^{2} + 2 x + 1} + 1$$
1 - 4*x/(1 + x^2 + 2*x)
Potencias [src]
        2
(-1 + x) 
---------
        2
 (1 + x) 
$$\frac{\left(x - 1\right)^{2}}{\left(x + 1\right)^{2}}$$
(-1 + x)^2/(1 + x)^2
Abrimos la expresión [src]
       2
(x - 1) 
--------
       2
(x + 1) 
$$\frac{\left(x - 1\right)^{2}}{\left(x + 1\right)^{2}}$$
(x - 1)^2/(x + 1)^2
Unión de expresiones racionales [src]
        2
(-1 + x) 
---------
        2
 (1 + x) 
$$\frac{\left(x - 1\right)^{2}}{\left(x + 1\right)^{2}}$$
(-1 + x)^2/(1 + x)^2