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