计算[(x²-5x+6)/(x²-4x+3)]+[(x²-4x+3)/(x²-2x+1)]+[(x²-3x-4)/(1-x²)]

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计算[(x²-5x+6)/(x²-4x+3)]+[(x²-4x+3)/(x²-2x+1)]+[(x²-3x-4)/(1-x²)]
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计算[(x²-5x+6)/(x²-4x+3)]+[(x²-4x+3)/(x²-2x+1)]+[(x²-3x-4)/(1-x²)]
计算[(x²-5x+6)/(x²-4x+3)]+[(x²-4x+3)/(x²-2x+1)]+[(x²-3x-4)/(1-x²)]

计算[(x²-5x+6)/(x²-4x+3)]+[(x²-4x+3)/(x²-2x+1)]+[(x²-3x-4)/(1-x²)]
=(x-2)(x-3)/(x-3)(x-1)+(x-3)(x-1)/(x-1)²-(x-4)(x+1)/(x+1)(x-1)
=(x-2)/(x-1)+(x-3)/(x-1)-(x-4)/(x-1)
=(x-2+x-3-x+4)/(x-1)
=(x-1)/(x-1)
=1