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Expression simplification/ Factorization polynomials/ y^3-1/27

Factor polynomial y^3-1/27

An expression to simplify:

The solution

You have entered [src] 
 3   1 
y  - --
     27
$$y^{3} - \frac{1}{27}$$ 
y^3 - 1/27
Factorization [src] 
          /            ___\ /            ___\
          |    1   I*\/ 3 | |    1   I*\/ 3 |
(x - 1/3)*|x + - + -------|*|x + - - -------|
          \    6      6   / \    6      6   /
$$\left(x - \frac{1}{3}\right) \left(x + \left(\frac{1}{6} + \frac{\sqrt{3} i}{6}\right)\right) \left(x + \left(\frac{1}{6} - \frac{\sqrt{3} i}{6}\right)\right)$$ 
((x - 1/3)*(x + 1/6 + i*sqrt(3)/6))*(x + 1/6 - i*sqrt(3)/6)
Numerical answer [src] 
-0.037037037037037 + y^3
-0.037037037037037 + y^3
Combining rational expressions [src] 
         3
-1 + 27*y 
----------
    27
$$\frac{27 y^{3} - 1}{27}$$ 
(-1 + 27*y^3)/27
Rational denominator [src] 
         3
-1 + 27*y 
----------
    27
$$\frac{27 y^{3} - 1}{27}$$ 
(-1 + 27*y^3)/27
Combinatorics [src] 
           /             2\
(-1 + 3*y)*\1 + 3*y + 9*y /
---------------------------
             27
$$\frac{\left(3 y - 1\right) \left(9 y^{2} + 3 y + 1\right)}{27}$$ 
(-1 + 3*y)*(1 + 3*y + 9*y^2)/27
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