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Factorizar el polinomio a^6-b^6

Expresión a simplificar:

Solución

Ha introducido [src]
 6    6
a  - b 
a6b6a^{6} - b^{6}
a^6 - b^6
Factorización [src]
                /      /          ___\\ /      /          ___\\ /      /        ___\\ /      /        ___\\
                |      |  1   I*\/ 3 || |      |  1   I*\/ 3 || |      |1   I*\/ 3 || |      |1   I*\/ 3 ||
(a + b)*(a - b)*|a - b*|- - - -------||*|a - b*|- - + -------||*|a - b*|- - -------||*|a - b*|- + -------||
                \      \  2      2   // \      \  2      2   // \      \2      2   // \      \2      2   //
(ab)(a+b)(ab(123i2))(ab(12+3i2))(ab(123i2))(ab(12+3i2))\left(a - b\right) \left(a + b\right) \left(a - b \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right) \left(a - b \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right) \left(a - b \left(\frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right) \left(a - b \left(\frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right)
(((((a + b)*(a - b))*(a - b*(-1/2 - i*sqrt(3)/2)))*(a - b*(-1/2 + i*sqrt(3)/2)))*(a - b*(1/2 - i*sqrt(3)/2)))*(a - b*(1/2 + i*sqrt(3)/2))
Respuesta numérica [src]
a^6 - b^6
a^6 - b^6
Combinatoria [src]
                / 2    2      \ / 2    2      \
(a + b)*(a - b)*\a  + b  + a*b/*\a  + b  - a*b/
(ab)(a+b)(a2ab+b2)(a2+ab+b2)\left(a - b\right) \left(a + b\right) \left(a^{2} - a b + b^{2}\right) \left(a^{2} + a b + b^{2}\right)
(a + b)*(a - b)*(a^2 + b^2 + a*b)*(a^2 + b^2 - a*b)