Sr Examen
Factorizar el polinomio 27-a^3*b^3
Solución
Factorización
[src]
/ / ___\\ / / ___\\
| | 1 I*\/ 3 || | | 1 I*\/ 3 ||
| 3*|- - - -------|| | 3*|- - + -------||
/ 3\ | \ 2 2 /| | \ 2 2 /|
|a - -|*|a - -----------------|*|a - -----------------|
\ b/ \ b / \ b /
$$\left(a - \frac{3}{b}\right) \left(a - \frac{3 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right)}{b}\right) \left(a - \frac{3 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right)}{b}\right)$$
((a - 3/b)*(a - 3*(-1/2 - i*sqrt(3)/2)/b))*(a - 3*(-1/2 + i*sqrt(3)/2)/b)
Combinatoria
[src]
/ 2 2 \ -(-3 + a*b)*\9 + a *b + 3*a*b/
$$- \left(a b - 3\right) \left(a^{2} b^{2} + 3 a b + 9\right)$$
-(-3 + a*b)*(9 + a^2*b^2 + 3*a*b)