If
![\frac{2 x + 3}{( x - 1)(x - 2)} = \frac{a}{x - 1} + \frac{b}{x - 2} \frac{2 x + 3}{( x - 1)(x - 2)} = \frac{a}{x - 1} + \frac{b}{x - 2}](https://tex.z-dn.net/?f=+%5Cfrac%7B2+x+%2B+3%7D%7B%28+x++-+1%29%28x+-+2%29%7D++%3D++%5Cfrac%7Ba%7D%7Bx+-+1%7D++%2B++%5Cfrac%7Bb%7D%7Bx+-+2%7D+)
then a and b are
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