Sr Examen
Factorizar el polinomio x^6-729
Solución
Factorización
[src]
/ ___\ / ___\ / ___\ / ___\
| 3 3*I*\/ 3 | | 3 3*I*\/ 3 | | 3 3*I*\/ 3 | | 3 3*I*\/ 3 |
(x + 3)*(x - 3)*|x + - + ---------|*|x + - - ---------|*|x + - - + ---------|*|x + - - - ---------|
\ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 /
$$\left(x - 3\right) \left(x + 3\right) \left(x + \left(\frac{3}{2} + \frac{3 \sqrt{3} i}{2}\right)\right) \left(x + \left(\frac{3}{2} - \frac{3 \sqrt{3} i}{2}\right)\right) \left(x + \left(- \frac{3}{2} + \frac{3 \sqrt{3} i}{2}\right)\right) \left(x + \left(- \frac{3}{2} - \frac{3 \sqrt{3} i}{2}\right)\right)$$
(((((x + 3)*(x - 3))*(x + 3/2 + 3*i*sqrt(3)/2))*(x + 3/2 - 3*i*sqrt(3)/2))*(x - 3/2 + 3*i*sqrt(3)/2))*(x - 3/2 - 3*i*sqrt(3)/2)
Combinatoria
[src]
/ 2 \ / 2 \ (-3 + x)*(3 + x)*\9 + x - 3*x/*\9 + x + 3*x/
$$\left(x - 3\right) \left(x + 3\right) \left(x^{2} - 3 x + 9\right) \left(x^{2} + 3 x + 9\right)$$
(-3 + x)*(3 + x)*(9 + x^2 - 3*x)*(9 + x^2 + 3*x)