Sr Examen
Factorizar el polinomio z^3+8/125
Solución
Factorización
[src]
/ ___\ / ___\
| 1 I*\/ 3 | | 1 I*\/ 3 |
(x + 2/5)*|x + - - + -------|*|x + - - - -------|
\ 5 5 / \ 5 5 /
$$\left(x + \frac{2}{5}\right) \left(x + \left(- \frac{1}{5} + \frac{\sqrt{3} i}{5}\right)\right) \left(x + \left(- \frac{1}{5} - \frac{\sqrt{3} i}{5}\right)\right)$$
((x + 2/5)*(x - 1/5 + i*sqrt(3)/5))*(x - 1/5 - i*sqrt(3)/5)
Denominador racional
[src]
3 8 + 125*z ---------- 125
$$\frac{125 z^{3} + 8}{125}$$
(8 + 125*z^3)/125
Combinatoria
[src]
/ 2\
(2 + 5*z)*\4 - 10*z + 25*z /
----------------------------
125
$$\frac{\left(5 z + 2\right) \left(25 z^{2} - 10 z + 4\right)}{125}$$
(2 + 5*z)*(4 - 10*z + 25*z^2)/125
Unión de expresiones racionales
[src]
3 8 + 125*z ---------- 125
$$\frac{125 z^{3} + 8}{125}$$
(8 + 125*z^3)/125