计算：[（2x+1)/(x²+x-2）]-[（x- - 知识问答

计算：[（2x+1)/(x²+x-2）]-[（x-2）/（x²-4）]

3个回答

[(2x+1)/(x²+x-2)]-[(x-2)/(x²-4)]
=(2x+1)/[(x+2)(x-1)]-(x-2)/[(x+2)(x-2)]
=(2x+1)/[(x+2)(x-1)]-1/(x+2)
=(2x+1)/[(x+2)(x-1)]-(x-1)/[(x+2)(x-1)]
=[(2x+1)-(x-1)]/[(x+2)(x-1)]
=(x+2)/[(x+2)(x-1)]
=1/(x-1)

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