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(5/(x + 2)) - (4/(x - 1)) =
= (5(x - 1)/(x + 2)(x - 1)) - (4(x + 2)/(x + 2)(x - 1)
= (5x - 5) - (4x + 8)/x^2 + x - 2
= 5x - 5 - 4x - 8/x^2 + x - 2
= x - 13/x^2 + x - 2