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Simplificación de expresiones/ Descomposición de multiplicadores/ x^6+2

Factorizar el polinomio x^6+2

Expresión a simplificar:

Solución

Ha introducido [src] 
 6    
x  + 2
$$x^{6} + 2$$ 
x^6 + 2
Factorización [src] 
                            /      6 ___   6 ___   ___\ /        6 ___   6 ___   ___\ /      6 ___   ___     6 ___\ /        6 ___   6 ___   ___\
/      6 ___\ /      6 ___\ |    I*\/ 2    \/ 2 *\/ 3 | |      I*\/ 2    \/ 2 *\/ 3 | |      \/ 2 *\/ 3    I*\/ 2 | |      I*\/ 2    \/ 2 *\/ 3 |
\x + I*\/ 2 /*\x - I*\/ 2 /*|x + ------- + -----------|*|x + - ------- + -----------|*|x + - ----------- + -------|*|x + - ------- - -----------|
                            \       2           2     / \         2           2     / \           2           2   / \         2           2     /
$$\left(x - \sqrt[6]{2} i\right) \left(x + \sqrt[6]{2} i\right) \left(x + \left(\frac{\sqrt[6]{2} \sqrt{3}}{2} + \frac{\sqrt[6]{2} i}{2}\right)\right) \left(x + \left(\frac{\sqrt[6]{2} \sqrt{3}}{2} - \frac{\sqrt[6]{2} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt[6]{2} \sqrt{3}}{2} + \frac{\sqrt[6]{2} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt[6]{2} \sqrt{3}}{2} - \frac{\sqrt[6]{2} i}{2}\right)\right)$$ 
(((((x + i*2^(1/6))*(x - i*2^(1/6)))*(x + i*2^(1/6)/2 + 2^(1/6)*sqrt(3)/2))*(x - i*2^(1/6)/2 + 2^(1/6)*sqrt(3)/2))*(x - 2^(1/6)*sqrt(3)/2 + i*2^(1/6)/2))*(x - i*2^(1/6)/2 - 2^(1/6)*sqrt(3)/2)
Respuesta numérica [src] 
2.0 + x^6
2.0 + x^6
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