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How do you 21/(3*a-a^2)-7/(a) in partial fractions?

An expression to simplify:

The solution

You have entered [src]
   21      7
-------- - -
       2   a
3*a - a     
$$\frac{21}{- a^{2} + 3 a} - \frac{7}{a}$$
21/(3*a - a^2) - 7/a
Fraction decomposition [src]
-7/(-3 + a)
$$- \frac{7}{a - 3}$$
 -7   
------
-3 + a
General simplification [src]
 -7   
------
-3 + a
$$- \frac{7}{a - 3}$$
-7/(-3 + a)
Rational denominator [src]
   7*a    
----------
   2      
- a  + 3*a
$$\frac{7 a}{- a^{2} + 3 a}$$
7*a/(-a^2 + 3*a)
Combining rational expressions [src]
  7  
-----
3 - a
$$\frac{7}{3 - a}$$
7/(3 - a)
Combinatorics [src]
 -7   
------
-3 + a
$$- \frac{7}{a - 3}$$
-7/(-3 + a)
Common denominator [src]
 -7   
------
-3 + a
$$- \frac{7}{a - 3}$$
-7/(-3 + a)
Numerical answer [src]
21.0/(-a^2 + 3.0*a) - 7.0/a
21.0/(-a^2 + 3.0*a) - 7.0/a