Question 890736
Express
(9X^2 +20x -10)
 --------------------       in partial fractions
   (x+2)(3x-1)
--------------
Divide first:
--> {{{3 + (5x+4)/(x+2)(3x-1))}}}
----
{{{(5x+4)/(x+2)(3x-1))}}}
= A/(x+2) + B/(3x-1)
3Ax-A + Bx+2B = 5x+3
3A+ B = 5
-A+2B = 3
----
A = 1
B = 2
-------------
3 + 1/(x+2) + 2/(3x-1)
The 3 can be combined with either of the fractions.