SOLUTION: (3x-2 / 2x^2-5x-3 )- (1/x-3)

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Question 311390: (3x-2 / 2x^2-5x-3 )- (1/x-3)
Answer by mananth(16946) About Me  (Show Source):
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(3x-2 / 2x^2-5x-3 )- (1/x-3)
(3x-2) / (2x+1)(x-3) - 1/ (x-3)
LCM = (2x+1)(x-3)
3x-2 - (2x+1)/ (2x+1)(x-3)
3x-2 -2x-1 / (2x+1)(x-3)
x-3 / (2x+1)(x-3)
= 1/(2x+1)