✔ 最佳答案
(2x^2 - 5x - 12) / (4x^2 - 1) * [ 2 + 9/(x-4) ]
= (2x + 3)(x - 4) / (4x^2 - 1) * [ 2 + 9/(x-4) ]
= (2x + 3)(x - 4) / (4x^2 - 1) * [ (2x - 8 + 9)/(x-4) ]
= (2x + 3)(x - 4) / (4x^2 - 1) * [ (2x + 1)/(x-4) ]
= (2x + 3) / (4x^2 - 1) * [ (2x + 1) ]
= (2x + 3)(2x + 1) / (4x^2 - 1)
= (2x + 3)(2x + 1) / ((2x)^2 - 1)
= (2x + 3)(2x + 1) / [ (2x - 1)(2x + 1) ]
= (2x + 3) / (2x - 1)