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Expression simplification/ Factorization polynomials/ z^2+9*z+27+27/z

Factor polynomial z^2+9*z+27+27/z

An expression to simplify:

The solution

You have entered [src] 
 2              27
z  + 9*z + 27 + --
                z
$$\left(\left(z^{2} + 9 z\right) + 27\right) + \frac{27}{z}$$ 
z^2 + 9*z + 27 + 27/z
General simplification [src] 
      2         27
27 + z  + 9*z + --
                z
$$z^{2} + 9 z + 27 + \frac{27}{z}$$ 
27 + z^2 + 9*z + 27/z
Fraction decomposition [src] 
27 + z^2 + 9*z + 27/z
$$z^{2} + 9 z + 27 + \frac{27}{z}$$ 
      2         27
27 + z  + 9*z + --
                z
Numerical answer [src] 
27.0 + z^2 + 9.0*z + 27.0/z
27.0 + z^2 + 9.0*z + 27.0/z
Powers [src] 
      2         27
27 + z  + 9*z + --
                z
$$z^{2} + 9 z + 27 + \frac{27}{z}$$ 
27 + z^2 + 9*z + 27/z
Rational denominator [src] 
       /      2      \
27 + z*\27 + z  + 9*z/
----------------------
          z
$$\frac{z \left(z^{2} + 9 z + 27\right) + 27}{z}$$ 
(27 + z*(27 + z^2 + 9*z))/z
Combining rational expressions [src] 
27 + z*(27 + z*(9 + z))
-----------------------
           z
$$\frac{z \left(z \left(z + 9\right) + 27\right) + 27}{z}$$ 
(27 + z*(27 + z*(9 + z)))/z
Combinatorics [src] 
       3
(3 + z) 
--------
   z
$$\frac{\left(z + 3\right)^{3}}{z}$$ 
(3 + z)^3/z
Assemble expression [src] 
      2         27
27 + z  + 9*z + --
                z
$$z^{2} + 9 z + 27 + \frac{27}{z}$$ 
27 + z^2 + 9*z + 27/z
Trigonometric part [src] 
      2         27
27 + z  + 9*z + --
                z
$$z^{2} + 9 z + 27 + \frac{27}{z}$$ 
27 + z^2 + 9*z + 27/z
Common denominator [src] 
      2         27
27 + z  + 9*z + --
                z
$$z^{2} + 9 z + 27 + \frac{27}{z}$$ 
27 + z^2 + 9*z + 27/z
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