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= (4(x - 2) + 5(x + 3)) / (x + 3)(x - 2)
= (4x - 8 + 5x + 15) / (x + 3)(x - 2)
= (9x + 7) / (x² + x - 6)
4(x-2) + 5(x+3) / (x-2)(x+3)
4x - 8 + 5x + 15 / x^2 -2x + 3x -6
(9x - 7) / (x^2 - x -6)