SOLUTION: Express (9X^2 +20x -10) ----------- -------- in partial fractions (x+2)(3x-1)

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Question 890736: Express
(9X^2 +20x -10)
-------------------- in partial fractions
(x+2)(3x-1)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Express
(9X^2 +20x -10)
-------------------- in partial fractions
(x+2)(3x-1)
--------------
Divide first:
--> 3+%2B+%285x%2B4%29%2F%28x%2B2%29%283x-1%29%29
----
%285x%2B4%29%2F%28x%2B2%29%283x-1%29%29
= 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.