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Expression simplification/ Fraction Decomposition into the simple/ ((9*b)/(a-b))*((a^2-a*b)/(54*b))

How do you ((9*b)/(a-b))*((a^2-a*b)/(54*b)) in partial fractions?

An expression to simplify:

The solution

You have entered [src] 
       2      
 9*b  a  - a*b
-----*--------
a - b   54*b
$$\frac{9 b}{a - b} \frac{a^{2} - a b}{54 b}$$ 
((9*b)/(a - b))*((a^2 - a*b)/((54*b)))
Fraction decomposition [src] 
a/6
$$\frac{a}{6}$$ 
a
-
6
General simplification [src] 
a
-
6
$$\frac{a}{6}$$ 
a/6
Combinatorics [src] 
a
-
6
$$\frac{a}{6}$$ 
a/6
Numerical answer [src] 
0.166666666666667*(a^2 - a*b)/(a - b)
0.166666666666667*(a^2 - a*b)/(a - b)
Combining rational expressions [src] 
a
-
6
$$\frac{a}{6}$$ 
a/6
Powers [src] 
 2      
a    a*b
-- - ---
6     6 
--------
 a - b
$$\frac{\frac{a^{2}}{6} - \frac{a b}{6}}{a - b}$$ 
  2      
 a  - a*b
---------
6*(a - b)
$$\frac{a^{2} - a b}{6 \left(a - b\right)}$$ 
(a^2 - a*b)/(6*(a - b))
Trigonometric part [src] 
  2      
 a  - a*b
---------
6*(a - b)
$$\frac{a^{2} - a b}{6 \left(a - b\right)}$$ 
(a^2 - a*b)/(6*(a - b))
Common denominator [src] 
a
-
6
$$\frac{a}{6}$$ 
a/6
Assemble expression [src] 
  2      
 a  - a*b
---------
6*(a - b)
$$\frac{a^{2} - a b}{6 \left(a - b\right)}$$ 
(a^2 - a*b)/(6*(a - b))
Rational denominator [src] 
  2       
 a  - a*b 
----------
-6*b + 6*a
$$\frac{a^{2} - a b}{6 a - 6 b}$$ 
(a^2 - a*b)/(-6*b + 6*a)
Expand expression [src] 
  2      
 a  - a*b
---------
6*(a - b)
$$\frac{a^{2} - a b}{6 \left(a - b\right)}$$ 
(a^2 - a*b)/(6*(a - b))
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