x+y/x-y-x-y/x+y等于多少

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解决时间 2021-03-25 03:19

提问者网友：自食苦果
2021-03-24 04:54

x+y/x-y-x-y/x+y等于多少

最佳答案

五星知识达人网友：过活
2021-03-24 06:26

=(x+y)²/(x+y)(x-y)-(x-y)²/(x+y)(x-y)
=[(x+y)²-(x-y)²]/(x+y)(x-y)
=4xy/(x²-y²)

全部回答

1楼网友：逃夭
2021-03-24 07:56

x+y/x-y-x-y/x+y
=x-x+y/x-y/x-y+y
=0追问不好意思啊是【（x+y）/（x-y）】-【（x-y）/（x+y）】追答【（x+y）/（x-y）】-【（x-y）/（x+y）】
=【(x+y)²/(x+y)(x-y)】-【(x-y)²/(x+y)(x-y)】
=【(x+y)²-(x-y)²】/(x+y)(x-y)
=【x²+2xy+y²-x²+2xy-y²】/(x+y)(x-y)
=4xy/(x²-y²)

2楼网友：狂恋
2021-03-24 07:38

解：原式=【(x+y)²/(x-y)(x+y)】-【(x-y)²/(x-y)(x+y)】
=4xy/(x-y)(x+y)
=4xy/(x²-y²) （如果有x,y的值代入上面的就行了）

3楼网友：迷人又混蛋
2021-03-24 06:59

x+y/x-y-x-y/x+y
=x+y/-2y/x+y
=x+y/-2y * 1/x+y
=1/-2y
【（x+y）/（x-y）】-【（x-y）/（x+y）】=【（x+y）²/（x-y）（x+y）】-【（x-y）²/（x+y）（x-y）】=（x+y）² -（x-y）² /（x+y）（x-y）=【（x+y+x-y）（x+y-x+y）】/（x+y）（x-y）=（2x）（2y）/（x+y）（x-y）=4xy / x²-y²

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