Sr Examen
Factorizar el polinomio x^6+x^12
Solución
Factorización
[src]
/ ___\ / ___\ / ___ \ / ___\
| I \/ 3 | | I \/ 3 | | \/ 3 I| | I \/ 3 |
x*(x + I)*(x - I)*|x + - + -----|*|x + - - + -----|*|x + - ----- + -|*|x + - - - -----|
\ 2 2 / \ 2 2 / \ 2 2/ \ 2 2 /
$$x \left(x + i\right) \left(x - i\right) \left(x + \left(\frac{\sqrt{3}}{2} + \frac{i}{2}\right)\right) \left(x + \left(\frac{\sqrt{3}}{2} - \frac{i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{3}}{2} + \frac{i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{3}}{2} - \frac{i}{2}\right)\right)$$
(((((x*(x + i))*(x - i))*(x + i/2 + sqrt(3)/2))*(x - i/2 + sqrt(3)/2))*(x - sqrt(3)/2 + i/2))*(x - i/2 - sqrt(3)/2)
Combinatoria
[src]
6 / 2\ / 4 2\ x *\1 + x /*\1 + x - x /
$$x^{6} \left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)$$
x^6*(1 + x^2)*(1 + x^4 - x^2)
Unión de expresiones racionales
[src]
6 / 6\ x *\1 + x /
$$x^{6} \left(x^{6} + 1\right)$$
x^6*(1 + x^6)