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= [2(x+3) - 3(x+2)] / ( x+2)(x+3)
= [2x + 6 - 3x - 6] / (x+2)(x+3)
= - x / (x² + 5x + 6)
= 2(x+3)/(x+2)(x+3) - 3(x+2)/(x+2)(x+3)
= 2x+6/(x+2)(x+3) - 3x + 6/(x+2)(x+3)
= (2x - 3x + 6 - 6) / (x+2)(x+3)
= -x / (x+2)(x+3)
= -x / (x² + 5x + 6)
(D)