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(1/x+y)-(1/x-y)+2x/x^2-y^2

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/25 19:50:58
(1/x+y)-(1/x-y)+2x/x^2-y^2
1/(x+y)-1/(x-y)+2x/(x²-y²)
=(x-y)/[(x+y)(x-y)]-(x+y)/[(x+y)(x-y)]+2x/[(x+y)(x-y)]
=[(x-y)-(x+y)+2x]/[(x+y)(x-y)]
=(2x-2y)/[(x+y)(x-y)]
=[2(x-y)]/[(x+y)(x-y)]
=2/(x+y)