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Simplificación de expresiones/ Descomposición de multiplicadores/ a^6-b^6

Factorizar el polinomio a^6-b^6

Expresión a simplificar:

Solución

Ha introducido [src] 
 6    6
a  - b
a6−b6a^{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   //
(a−b)(a+b)(a−b(−12−3i2))(a−b(−12+3i2))(a−b(12−3i2))(a−b(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/
(a−b)(a+b)(a2−ab+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)
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