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Expression simplification/ Fraction Decomposition into the simple/ (z^2-6*z-16)/(z^2-4*z-12)

How do you (z^2-6*z-16)/(z^2-4*z-12) in partial fractions?

An expression to simplify:

The solution

You have entered [src] 
 2           
z  - 6*z - 16
-------------
 2           
z  - 4*z - 12
$$\frac{\left(z^{2} - 6 z\right) - 16}{\left(z^{2} - 4 z\right) - 12}$$ 
(z^2 - 6*z - 16)/(z^2 - 4*z - 12)
Fraction decomposition [src] 
1 - 2/(-6 + z)
$$1 - \frac{2}{z - 6}$$ 
      2   
1 - ------
    -6 + z
General simplification [src] 
-8 + z
------
-6 + z
$$\frac{z - 8}{z - 6}$$ 
(-8 + z)/(-6 + z)
Trigonometric part [src] 
       2      
-16 + z  - 6*z
--------------
       2      
-12 + z  - 4*z
$$\frac{z^{2} - 6 z - 16}{z^{2} - 4 z - 12}$$ 
(-16 + z^2 - 6*z)/(-12 + z^2 - 4*z)
Powers [src] 
       2      
-16 + z  - 6*z
--------------
       2      
-12 + z  - 4*z
$$\frac{z^{2} - 6 z - 16}{z^{2} - 4 z - 12}$$ 
(-16 + z^2 - 6*z)/(-12 + z^2 - 4*z)
Numerical answer [src] 
(-16.0 + z^2 - 6.0*z)/(-12.0 + z^2 - 4.0*z)
(-16.0 + z^2 - 6.0*z)/(-12.0 + z^2 - 4.0*z)
Assemble expression [src] 
       2      
-16 + z  - 6*z
--------------
       2      
-12 + z  - 4*z
$$\frac{z^{2} - 6 z - 16}{z^{2} - 4 z - 12}$$ 
(-16 + z^2 - 6*z)/(-12 + z^2 - 4*z)
Combinatorics [src] 
-8 + z
------
-6 + z
$$\frac{z - 8}{z - 6}$$ 
(-8 + z)/(-6 + z)
Common denominator [src] 
      2   
1 - ------
    -6 + z
$$1 - \frac{2}{z - 6}$$ 
1 - 2/(-6 + z)
Rational denominator [src] 
       2      
-16 + z  - 6*z
--------------
       2      
-12 + z  - 4*z
$$\frac{z^{2} - 6 z - 16}{z^{2} - 4 z - 12}$$ 
(-16 + z^2 - 6*z)/(-12 + z^2 - 4*z)
Combining rational expressions [src] 
-16 + z*(-6 + z)
----------------
-12 + z*(-4 + z)
$$\frac{z \left(z - 6\right) - 16}{z \left(z - 4\right) - 12}$$ 
(-16 + z*(-6 + z))/(-12 + z*(-4 + z))
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