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Simplificación de expresiones/ Descomposición de multiplicadores/ x^6-4096

Factorizar el polinomio x^6-4096

Expresión a simplificar:

Solución

Ha introducido [src] 
 6       
x  - 4096
x6−4096x^{6} - 4096 
x^6 - 4096
Factorización [src] 
                /              ___\ /              ___\ /               ___\ /               ___\
(x + 4)*(x - 4)*\x + 2 + 2*I*\/ 3 /*\x + 2 - 2*I*\/ 3 /*\x + -2 + 2*I*\/ 3 /*\x + -2 - 2*I*\/ 3 /
(x−4)(x+4)(x+(2+23i))(x+(2−23i))(x+(−2+23i))(x+(−2−23i))\left(x - 4\right) \left(x + 4\right) \left(x + \left(2 + 2 \sqrt{3} i\right)\right) \left(x + \left(2 - 2 \sqrt{3} i\right)\right) \left(x + \left(-2 + 2 \sqrt{3} i\right)\right) \left(x + \left(-2 - 2 \sqrt{3} i\right)\right) 
(((((x + 4)*(x - 4))*(x + 2 + 2*i*sqrt(3)))*(x + 2 - 2*i*sqrt(3)))*(x - 2 + 2*i*sqrt(3)))*(x - 2 - 2*i*sqrt(3))
Respuesta numérica [src] 
-4096.0 + x^6
-4096.0 + x^6
Combinatoria [src] 
                 /      2      \ /      2      \
(-4 + x)*(4 + x)*\16 + x  - 4*x/*\16 + x  + 4*x/
(x−4)(x+4)(x2−4x+16)(x2+4x+16)\left(x - 4\right) \left(x + 4\right) \left(x^{2} - 4 x + 16\right) \left(x^{2} + 4 x + 16\right) 
(-4 + x)*(4 + x)*(16 + x^2 - 4*x)*(16 + x^2 + 4*x)
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