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计算：(x)/(x-y)-(y)/(x+y)+(2xy)/(x^2-y^2)

分类: 作业答案 • 2021-12-31 12:14:33
问题描述：

计算：(x)/(x-y)-(y)/(x+y)+(2xy)/(x^2-y^2)

答

=x(x+y)/(x^2-y^2)-Y(x-y)/(x^2-y^2)+2xy/(x^2-y^2)
=(x^2+xy-xy+y^2+2xy)/(x^2-y^2)
=(x+y)^2/(x^2-y^2)
=(x+y)/(x-y)

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