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2) (2x + 7)/(x^2 - 2x - 3) - 2/(x - 3)= (2x + 7)/(x - 3)(x + 1) - 2/(x - 3)
= (2x + 7 - 2(x + 1)) / (x - 3)(x + 1)
= (2x + 7 - 2x - 2) / (x - 3)(x + 1)
= 5 / (x - 3)(x + 1)
3) (6x^2 - 15x - 9)/(x^2 - 9)
= 3(2x^2 - 5x - 3) / (x - 3)(x + 3)
= 3(2x + 1)(x - 3) / (x - 3)(x + 3)
= 3(2x + 1) / (x + 3)
= (6x + 3) / (x + 3)