Sr Examen
Factorizar el polinomio x^6+y^6
Solución
Factorización
[src]
/ / ___\\ / / ___\\ / / ___ \\ / / ___\\
| | I \/ 3 || | |I \/ 3 || | |\/ 3 I|| | |I \/ 3 ||
(x + I*y)*(x - I*y)*|x - y*|- - - -----||*|x - y*|- - -----||*|x - y*|----- - -||*|x - y*|- + -----||
\ \ 2 2 // \ \2 2 // \ \ 2 2// \ \2 2 //
$$\left(x - i y\right) \left(x + i y\right) \left(x - y \left(- \frac{\sqrt{3}}{2} - \frac{i}{2}\right)\right) \left(x - y \left(- \frac{\sqrt{3}}{2} + \frac{i}{2}\right)\right) \left(x - y \left(\frac{\sqrt{3}}{2} - \frac{i}{2}\right)\right) \left(x - y \left(\frac{\sqrt{3}}{2} + \frac{i}{2}\right)\right)$$
(((((x + i*y)*(x - i*y))*(x - y*(-i/2 - sqrt(3)/2)))*(x - y*(i/2 - sqrt(3)/2)))*(x - y*(sqrt(3)/2 - i/2)))*(x - y*(i/2 + sqrt(3)/2))
Combinatoria
[src]
/ 2 2\ / 4 4 2 2\ \x + y /*\x + y - x *y /
$$\left(x^{2} + y^{2}\right) \left(x^{4} - x^{2} y^{2} + y^{4}\right)$$
(x^2 + y^2)*(x^4 + y^4 - x^2*y^2)