3/(x-3) - (x+15)/(x²-9) - 2/x = 3/(x-3) - (x+15)/((x-3)(x+3)) - 2/x = (3(x+3)x - x(x+15) - 2(x-3)(x+3)) / (x(x-3)(x+3)) = (3x²+9x - x²-15x - 2(x²-9)) / (x(x-3)(x+3)) = (3x²+9x - x²-15x - 2x²+18) / (x(x-3)(x+3)) = (-6x + 18) / (x(x²-9)) = -6(x - 3) / (x(x - 3)(x + 3)) = -6 / (x(x+3))