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解：
(x-3)/(x²-1)-2/(1+x)
=(x-3)/(x²-1)-2(x-1)/(1+x)(x-1)
=(x-3)/(x²-1)-2(x-1)/(x²-1)
=[x-3-2(x-1)]/(x²-1)
=(x-3-2x+2)/(x²-1)
=(-x-1)/(x²-1)
=-(x+1)/(x+1)(x-1)
=-1/(x-1)
=1/(1-x)
(x-3)/(x²-1)-2/(1+x)
=(x-3)/(x²-1)-2(x-1)/(1+x)(x-1)
=(x-3)/(x²-1)-2(x-1)/(x²-1)
=[x-3-2(x-1)]/(x²-1)
=(x-3-2x+2)/(x²-1)
=(-x-1)/(x²-1)
=-(x+1)/(x+1)(x-1)
=-1/(x-1)
=1/(1-x)
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