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Expression simplification/ Factorization polynomials/ t^3-27

Factor polynomial t^3-27

An expression to simplify:

The solution

You have entered [src] 
 3     
t  - 27
$$t^{3} - 27$$ 
t^3 - 27
Factorization [src] 
        /              ___\ /              ___\
        |    3   3*I*\/ 3 | |    3   3*I*\/ 3 |
(t - 3)*|t + - + ---------|*|t + - - ---------|
        \    2       2    / \    2       2    /
$$\left(t - 3\right) \left(t + \left(\frac{3}{2} + \frac{3 \sqrt{3} i}{2}\right)\right) \left(t + \left(\frac{3}{2} - \frac{3 \sqrt{3} i}{2}\right)\right)$$ 
((t - 3)*(t + 3/2 + 3*i*sqrt(3)/2))*(t + 3/2 - 3*i*sqrt(3)/2)
Numerical answer [src] 
-27.0 + t^3
-27.0 + t^3
Combinatorics [src] 
         /     2      \
(-3 + t)*\9 + t  + 3*t/
$$\left(t - 3\right) \left(t^{2} + 3 t + 9\right)$$ 
(-3 + t)*(9 + t^2 + 3*t)
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