2xy/x平方-y平方-x/x+y+y/y-x,其中x=3、y=2 先化简再求值

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/09 18:41:36
2xy/x平方-y平方-x/x+y+y/y-x,其中x=3、y=2 先化简再求值

2xy/x平方-y平方-x/x+y+y/y-x,其中x=3、y=2 先化简再求值
2xy/x平方-y平方-x/x+y+y/y-x,其中x=3、y=2 先化简再求值

2xy/x平方-y平方-x/x+y+y/y-x,其中x=3、y=2 先化简再求值
2xy/(x^2-y^2)-x/(x+y)+y/(y-x)
=2xy/(x^2-y^2)-x/(x+y)-y/(x-y)
=2xy/[(x-y)(x+y)]-x(x-y)/[(x-y)(x+y)]-y(x+y)/[(x-y)(x+y)]
=[2xy-x(x-y)-y(x+y)]/[(x-y)(x+y)]
=[2xy-x^2+xy-xy-y^2]/[(x-y)(x+y)]
=-[x^2+y^2-2xy]/[(x-y)(x+y)]
=-(x-y)^2/[(x-y)(x+y)]
=-(x-y)/(x+y)
=-(3-2)/(3+2)
=-1/5

2xy/x平方-y平方-x/x+y+y/y-x
=[2xy-x(x-y)-y(x+y)]/(x+y)(x-y)
=(2xy-x²+xy-xy-y²)/(x+y)(x-y)
=(2xy-x²-y²)/(x+y)(x-y)
=-(x-y)²/(x+y)(x-y)
=(y-x)/(x+y)
=(2-3)/...

全部展开

2xy/x平方-y平方-x/x+y+y/y-x
=[2xy-x(x-y)-y(x+y)]/(x+y)(x-y)
=(2xy-x²+xy-xy-y²)/(x+y)(x-y)
=(2xy-x²-y²)/(x+y)(x-y)
=-(x-y)²/(x+y)(x-y)
=(y-x)/(x+y)
=(2-3)/(3+2)
=-1/5
不明白,可以追问
如有帮助,记得采纳
如追加其它问题,采纳本题后另发并点击向我求助,谢谢
祝学习进步!

收起