Mister Exam

Other calculators

Expression simplification/ Factorization polynomials/ y^3-1

Factor polynomial y^3-1

An expression to simplify:

The solution

You have entered [src] 
 3    
y  - 1
$$y^{3} - 1$$ 
y^3 - 1
Factorization [src] 
        /            ___\ /            ___\
        |    1   I*\/ 3 | |    1   I*\/ 3 |
(x - 1)*|x + - + -------|*|x + - - -------|
        \    2      2   / \    2      2   /
$$\left(x - 1\right) \left(x + \left(\frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right) \left(x + \left(\frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right)$$ 
((x - 1)*(x + 1/2 + i*sqrt(3)/2))*(x + 1/2 - i*sqrt(3)/2)
Combinatorics [src] 
         /         2\
(-1 + y)*\1 + y + y /
$$\left(y - 1\right) \left(y^{2} + y + 1\right)$$ 
(-1 + y)*(1 + y + y^2)
Numerical answer [src] 
-1.0 + y^3
-1.0 + y^3
    © Mister Exam – Calculator