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Factorizar el polinomio x^3-12

Expresión a simplificar:

Solución

Ha introducido [src]
 3     
x  - 12
$$x^{3} - 12$$
x^3 - 12
Factorización [src]
             /    3 ____      2/3  5/6\ /    3 ____      2/3  5/6\
/    3 ____\ |    \/ 12    I*2   *3   | |    \/ 12    I*2   *3   |
\x - \/ 12 /*|x + ------ + -----------|*|x + ------ - -----------|
             \      2           2     / \      2           2     /
$$\left(x - \sqrt[3]{12}\right) \left(x + \left(\frac{\sqrt[3]{12}}{2} + \frac{2^{\frac{2}{3}} \cdot 3^{\frac{5}{6}} i}{2}\right)\right) \left(x + \left(\frac{\sqrt[3]{12}}{2} - \frac{2^{\frac{2}{3}} \cdot 3^{\frac{5}{6}} i}{2}\right)\right)$$
((x - 12^(1/3))*(x + 12^(1/3)/2 + i*2^(2/3)*3^(5/6)/2))*(x + 12^(1/3)/2 - i*2^(2/3)*3^(5/6)/2)
Respuesta numérica [src]
-12.0 + x^3
-12.0 + x^3