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How do you ((9*b)/(a-b))*((a^2-a*b)/(45*b)) in partial fractions?

An expression to simplify:

The solution

You have entered [src]
       2      
 9*b  a  - a*b
-----*--------
a - b   45*b  
$$\frac{9 b}{a - b} \frac{a^{2} - a b}{45 b}$$
((9*b)/(a - b))*((a^2 - a*b)/((45*b)))
Fraction decomposition [src]
a/5
$$\frac{a}{5}$$
a
-
5
General simplification [src]
a
-
5
$$\frac{a}{5}$$
a/5
Trigonometric part [src]
  2      
 a  - a*b
---------
5*(a - b)
$$\frac{a^{2} - a b}{5 \left(a - b\right)}$$
(a^2 - a*b)/(5*(a - b))
Numerical answer [src]
0.2*(a^2 - a*b)/(a - b)
0.2*(a^2 - a*b)/(a - b)
Combinatorics [src]
a
-
5
$$\frac{a}{5}$$
a/5
Combining rational expressions [src]
a
-
5
$$\frac{a}{5}$$
a/5
Common denominator [src]
a
-
5
$$\frac{a}{5}$$
a/5
Powers [src]
 2      
a    a*b
-- - ---
5     5 
--------
 a - b  
$$\frac{\frac{a^{2}}{5} - \frac{a b}{5}}{a - b}$$
  2      
 a  - a*b
---------
5*(a - b)
$$\frac{a^{2} - a b}{5 \left(a - b\right)}$$
(a^2 - a*b)/(5*(a - b))
Expand expression [src]
  2      
 a  - a*b
---------
5*(a - b)
$$\frac{a^{2} - a b}{5 \left(a - b\right)}$$
(a^2 - a*b)/(5*(a - b))
Assemble expression [src]
  2      
 a  - a*b
---------
5*(a - b)
$$\frac{a^{2} - a b}{5 \left(a - b\right)}$$
(a^2 - a*b)/(5*(a - b))
Rational denominator [src]
  2       
 a  - a*b 
----------
-5*b + 5*a
$$\frac{a^{2} - a b}{5 a - 5 b}$$
(a^2 - a*b)/(-5*b + 5*a)