Mister Exam

Factor polynomial x^3-4

An expression to simplify:

The solution

You have entered [src]
 3    
x  - 4
$$x^{3} - 4$$
x^3 - 4
Factorization [src]
           /     2/3      2/3   ___\ /     2/3      2/3   ___\
/     2/3\ |    2      I*2   *\/ 3 | |    2      I*2   *\/ 3 |
\x - 2   /*|x + ---- + ------------|*|x + ---- - ------------|
           \     2          2      / \     2          2      /
$$\left(x - 2^{\frac{2}{3}}\right) \left(x + \left(\frac{2^{\frac{2}{3}}}{2} + \frac{2^{\frac{2}{3}} \sqrt{3} i}{2}\right)\right) \left(x + \left(\frac{2^{\frac{2}{3}}}{2} - \frac{2^{\frac{2}{3}} \sqrt{3} i}{2}\right)\right)$$
((x - 2^(2/3))*(x + 2^(2/3)/2 + i*2^(2/3)*sqrt(3)/2))*(x + 2^(2/3)/2 - i*2^(2/3)*sqrt(3)/2)
Numerical answer [src]
-4.0 + x^3
-4.0 + x^3