Mister Exam

Factor polynomial y^3-100

An expression to simplify:

The solution

You have entered [src]
 3      
y  - 100
$$y^{3} - 100$$
y^3 - 100
Factorization [src]
            /      2/3       ___   2/3\ /      2/3       ___   2/3\
/      2/3\ |    10      I*\/ 3 *10   | |    10      I*\/ 3 *10   |
\x - 10   /*|x + ----- + -------------|*|x + ----- - -------------|
            \      2           2      / \      2           2      /
$$\left(x - 10^{\frac{2}{3}}\right) \left(x + \left(\frac{10^{\frac{2}{3}}}{2} + \frac{10^{\frac{2}{3}} \sqrt{3} i}{2}\right)\right) \left(x + \left(\frac{10^{\frac{2}{3}}}{2} - \frac{10^{\frac{2}{3}} \sqrt{3} i}{2}\right)\right)$$
((x - 10^(2/3))*(x + 10^(2/3)/2 + i*sqrt(3)*10^(2/3)/2))*(x + 10^(2/3)/2 - i*sqrt(3)*10^(2/3)/2)
Numerical answer [src]
-100.0 + y^3
-100.0 + y^3