分式的加减:1/(x+1)-(x-3)/(x²-1)×(x²-2x+1)/(x-1)(x-3)
题目
分式的加减:1/(x+1)-(x-3)/(x²-1)×(x²-2x+1)/(x-1)(x-3)
答案
1/(x+1)-(x-3)/(x²-1)×(x²-2x+1)/[(x-1)(x-3)]
=1/(x+1)-(x-3)/[(x+1)(x-1)]×(x-1)²/[(x-1)(x-3)]
=1/(x+1)-(x-3)/(x+1)×1/(x-3)
=1/(x+1)-1/[(x+1)
=0
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