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

Factorizar el polinomio y^6-x^6

Expresión a simplificar:

Solución

Ha introducido [src] 
 6    6
y  - x
−x6+y6- x^{6} + y^{6} 
y^6 - x^6
Factorización [src] 
                /      /          ___\\ /      /          ___\\ /      /        ___\\ /      /        ___\\
                |      |  1   I*\/ 3 || |      |  1   I*\/ 3 || |      |1   I*\/ 3 || |      |1   I*\/ 3 ||
(x + y)*(x - y)*|x - y*|- - - -------||*|x - y*|- - + -------||*|x - y*|- - -------||*|x - y*|- + -------||
                \      \  2      2   // \      \  2      2   // \      \2      2   // \      \2      2   //
(x−y)(x+y)(x−y(−12−3i2))(x−y(−12+3i2))(x−y(12−3i2))(x−y(12+3i2))\left(x - y\right) \left(x + y\right) \left(x - y \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right) \left(x - y \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right) \left(x - y \left(\frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right) \left(x - y \left(\frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right) 
(((((x + y)*(x - y))*(x - y*(-1/2 - i*sqrt(3)/2)))*(x - y*(-1/2 + i*sqrt(3)/2)))*(x - y*(1/2 - i*sqrt(3)/2)))*(x - y*(1/2 + i*sqrt(3)/2))
Respuesta numérica [src] 
y^6 - x^6
y^6 - x^6
Combinatoria [src] 
                 / 2    2      \ / 2    2      \
-(x + y)*(x - y)*\x  + y  + x*y/*\x  + y  - x*y/
−(x−y)(x+y)(x2−xy+y2)(x2+xy+y2)- \left(x - y\right) \left(x + y\right) \left(x^{2} - x y + y^{2}\right) \left(x^{2} + x y + y^{2}\right) 
-(x + y)*(x - y)*(x^2 + y^2 + x*y)*(x^2 + y^2 - x*y)
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