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Simplificación de expresiones/ Descomposición en fracciones simples/ (x^2-9)/(x^2+3)(x^2-(1-(3)^(1/2)x-3^(1/22)))

¿Cómo vas a descomponer esta (x^2-9)/(x^2+3)(x^2-(1-(3)^(1/2)x-3^(1/22))) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src] 
 2                                
x  - 9 / 2          ___     22___\
------*\x  + -1 + \/ 3 *x + \/ 3 /
 2                                
x  + 3
$$\frac{x^{2} - 9}{x^{2} + 3} \left(x^{2} + \left(\left(\sqrt{3} x - 1\right) + \sqrt[22]{3}\right)\right)$$ 
((x^2 - 9)/(x^2 + 3))*(x^2 - 1 + sqrt(3)*x + 3^(1/22))
Simplificación general [src] 
/      2\ /     22___    2       ___\
\-9 + x /*\-1 + \/ 3  + x  + x*\/ 3 /
-------------------------------------
                     2               
                3 + x
$$\frac{\left(x^{2} - 9\right) \left(x^{2} + \sqrt{3} x - 1 + \sqrt[22]{3}\right)}{x^{2} + 3}$$ 
(-9 + x^2)*(-1 + 3^(1/22) + x^2 + x*sqrt(3))/(3 + x^2)
Parte trigonométrica [src] 
/      2\ /     22___    2       ___\
\-9 + x /*\-1 + \/ 3  + x  + x*\/ 3 /
-------------------------------------
                     2               
                3 + x
$$\frac{\left(x^{2} - 9\right) \left(x^{2} + \sqrt{3} x - 1 + \sqrt[22]{3}\right)}{x^{2} + 3}$$ 
(-9 + x^2)*(-1 + 3^(1/22) + x^2 + x*sqrt(3))/(3 + x^2)
Respuesta numérica [src] 
(-9.0 + x^2)*(0.0512047866122314 + x^2 + 1.73205080756888*x)/(3.0 + x^2)
(-9.0 + x^2)*(0.0512047866122314 + x^2 + 1.73205080756888*x)/(3.0 + x^2)
Denominador común [src] 
                                      22___          ___
      22___    2       ___   -48 + 12*\/ 3  + 12*x*\/ 3 
-13 + \/ 3  + x  + x*\/ 3  - ---------------------------
                                             2          
                                        3 + x
$$x^{2} + \sqrt{3} x - 13 + \sqrt[22]{3} - \frac{12 \sqrt{3} x - 48 + 12 \sqrt[22]{3}}{x^{2} + 3}$$ 
-13 + 3^(1/22) + x^2 + x*sqrt(3) - (-48 + 12*3^(1/22) + 12*x*sqrt(3))/(3 + x^2)
Compilar la expresión [src] 
/      2\ /     22___    2       ___\
\-9 + x /*\-1 + \/ 3  + x  + x*\/ 3 /
-------------------------------------
                     2               
                3 + x
$$\frac{\left(x^{2} - 9\right) \left(x^{2} + \sqrt{3} x - 1 + \sqrt[22]{3}\right)}{x^{2} + 3}$$ 
(-9 + x^2)*(-1 + 3^(1/22) + x^2 + x*sqrt(3))/(3 + x^2)
Unión de expresiones racionales [src] 
/      2\ /     22___    2       ___\
\-9 + x /*\-1 + \/ 3  + x  + x*\/ 3 /
-------------------------------------
                     2               
                3 + x
$$\frac{\left(x^{2} - 9\right) \left(x^{2} + \sqrt{3} x - 1 + \sqrt[22]{3}\right)}{x^{2} + 3}$$ 
(-9 + x^2)*(-1 + 3^(1/22) + x^2 + x*sqrt(3))/(3 + x^2)
Denominador racional [src] 
/      2\ /     22___    2       ___\
\-9 + x /*\-1 + \/ 3  + x  + x*\/ 3 /
-------------------------------------
                     2               
                3 + x
$$\frac{\left(x^{2} - 9\right) \left(x^{2} + \sqrt{3} x - 1 + \sqrt[22]{3}\right)}{x^{2} + 3}$$ 
(-9 + x^2)*(-1 + 3^(1/22) + x^2 + x*sqrt(3))/(3 + x^2)
Combinatoria [src] 
                 /     22___    2       ___\
(-3 + x)*(3 + x)*\-1 + \/ 3  + x  + x*\/ 3 /
--------------------------------------------
                        2                   
                   3 + x
$$\frac{\left(x - 3\right) \left(x + 3\right) \left(x^{2} + \sqrt{3} x - 1 + \sqrt[22]{3}\right)}{x^{2} + 3}$$ 
(-3 + x)*(3 + x)*(-1 + 3^(1/22) + x^2 + x*sqrt(3))/(3 + x^2)
Potencias [src] 
/      2\ /     22___    2       ___\
\-9 + x /*\-1 + \/ 3  + x  + x*\/ 3 /
-------------------------------------
                     2               
                3 + x
$$\frac{\left(x^{2} - 9\right) \left(x^{2} + \sqrt{3} x - 1 + \sqrt[22]{3}\right)}{x^{2} + 3}$$ 
(-9 + x^2)*(-1 + 3^(1/22) + x^2 + x*sqrt(3))/(3 + x^2)
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