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Expression simplification/ Fraction Decomposition into the simple/ (x+8)/x^2+16*x+64/(x-8)

How do you (x+8)/x^2+16*x+64/(x-8) in partial fractions?

An expression to simplify:

The solution

You have entered [src] 
x + 8            64 
----- + 16*x + -----
   2           x - 8
  x
$$\left(16 x + \frac{x + 8}{x^{2}}\right) + \frac{64}{x - 8}$$ 
(x + 8)/x^2 + 16*x + 64/(x - 8)
General simplification [src] 
           3       4       2
-64 - 128*x  + 16*x  + 65*x 
----------------------------
         2                  
        x *(-8 + x)
$$\frac{16 x^{4} - 128 x^{3} + 65 x^{2} - 64}{x^{2} \left(x - 8\right)}$$ 
(-64 - 128*x^3 + 16*x^4 + 65*x^2)/(x^2*(-8 + x))
Fraction decomposition [src] 
1/x + 8/x^2 + 16*x + 64/(-8 + x)
$$16 x + \frac{64}{x - 8} + \frac{1}{x} + \frac{8}{x^{2}}$$ 
1   8             64  
- + -- + 16*x + ------
x    2          -8 + x
    x
Numerical answer [src] 
16.0*x + 64.0/(-8.0 + x) + (8.0 + x)/x^2
16.0*x + 64.0/(-8.0 + x) + (8.0 + x)/x^2
Trigonometric part [src] 
         64     8 + x
16*x + ------ + -----
       -8 + x      2 
                  x
$$16 x + \frac{64}{x - 8} + \frac{x + 8}{x^{2}}$$ 
16*x + 64/(-8 + x) + (8 + x)/x^2
Combining rational expressions [src] 
    2            /            3\
64*x  + (-8 + x)*\8 + x + 16*x /
--------------------------------
           2                    
          x *(-8 + x)
$$\frac{64 x^{2} + \left(x - 8\right) \left(16 x^{3} + x + 8\right)}{x^{2} \left(x - 8\right)}$$ 
(64*x^2 + (-8 + x)*(8 + x + 16*x^3))/(x^2*(-8 + x))
Powers [src] 
         64     8 + x
16*x + ------ + -----
       -8 + x      2 
                  x
$$16 x + \frac{64}{x - 8} + \frac{x + 8}{x^{2}}$$ 
16*x + 64/(-8 + x) + (8 + x)/x^2
Rational denominator [src] 
    2            /            3\
64*x  + (-8 + x)*\8 + x + 16*x /
--------------------------------
           2                    
          x *(-8 + x)
$$\frac{64 x^{2} + \left(x - 8\right) \left(16 x^{3} + x + 8\right)}{x^{2} \left(x - 8\right)}$$ 
(64*x^2 + (-8 + x)*(8 + x + 16*x^3))/(x^2*(-8 + x))
Common denominator [src] 
                 2
       -64 + 65*x 
16*x + -----------
         3      2 
        x  - 8*x
$$16 x + \frac{65 x^{2} - 64}{x^{3} - 8 x^{2}}$$ 
16*x + (-64 + 65*x^2)/(x^3 - 8*x^2)
Assemble expression [src] 
         64     8 + x
16*x + ------ + -----
       -8 + x      2 
                  x
$$16 x + \frac{64}{x - 8} + \frac{x + 8}{x^{2}}$$ 
16*x + 64/(-8 + x) + (8 + x)/x^2
Combinatorics [src] 
           3       4       2
-64 - 128*x  + 16*x  + 65*x 
----------------------------
         2                  
        x *(-8 + x)
$$\frac{16 x^{4} - 128 x^{3} + 65 x^{2} - 64}{x^{2} \left(x - 8\right)}$$ 
(-64 - 128*x^3 + 16*x^4 + 65*x^2)/(x^2*(-8 + x))
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