
已知x/y=1/2,求2x/(x²-2xy+y² )* (x²-y²/x+y)+2y/x-y
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您好:
x/y=1/2
y=2x
2x/(x²-2xy+y² )* (x²-y²/x+y)+2y/x-y
=2x/(x-y)²*(x+y)(x-y)/(x+y)+2y/(x-y)
=2x/(x-y)+2y/(x-y)
=2(x+y)/(x-y)
=2(x+2x)/(x-2x)
=6x/-x
=-6
不明白,可以追问
如有帮助,记得采纳,谢谢
祝学习进步!
x/y=1/2
y=2x
2x/(x²-2xy+y² )* (x²-y²/x+y)+2y/x-y
=2x/(x-y)²*(x+y)(x-y)/(x+y)+2y/(x-y)
=2x/(x-y)+2y/(x-y)
=2(x+y)/(x-y)
=2(x+2x)/(x-2x)
=6x/-x
=-6
不明白,可以追问
如有帮助,记得采纳,谢谢
祝学习进步!
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