Sr Examen
Factorizar el polinomio x^6-y^6
Solución
Factorización
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/ / ___\\ / / ___\\ / / ___\\ / / ___\\
| | 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 //
$$\left(x - y\right) \left(x + y\right) \left(x - y \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right) \left(x - y \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right) \left(x - y \left(\frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right) \left(x - y \left(\frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right)$$
(((((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))
Combinatoria
[src]
/ 2 2 \ / 2 2 \ (x + y)*(x - y)*\x + y + x*y/*\x + y - x*y/
$$\left(x - y\right) \left(x + y\right) \left(x^{2} - x y + y^{2}\right) \left(x^{2} + x y + y^{2}\right)$$
(x + y)*(x - y)*(x^2 + y^2 + x*y)*(x^2 + y^2 - x*y)