1-[(x-y)/(x+2y)]÷[(x+y)(x-y)/(x+2y)²] 1-[(x-y)/(x+2y)]÷[(x+y)(x-y)/(x+2y)²]=

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1-[(x-y)/(x+2y)]÷[(x+y)(x-y)/(x+2y)²] 1-[(x-y)/(x+2y)]÷[(x+y)(x-y)/(x+2y)²]=

1-[(x-y)/(x+2y)]÷[(x+y)(x-y)/(x+2y)²] 1-[(x-y)/(x+2y)]÷[(x+y)(x-y)/(x+2y)²]=
1-[(x-y)/(x+2y)]÷[(x+y)(x-y)/(x+2y)²]
1-[(x-y)/(x+2y)]÷[(x+y)(x-y)/(x+2y)²]
=

1-[(x-y)/(x+2y)]÷[(x+y)(x-y)/(x+2y)²] 1-[(x-y)/(x+2y)]÷[(x+y)(x-y)/(x+2y)²]=
1-[(x-y)/(x+2y)]÷[(x+y)(x-y)/(x+2y)²]
=1-[(x-y)/(x+2y)]×[(x+2y)²/(x+y)(x-y)]
=1-(x+2y)/(x+y)
=(x+y-x-2y)/(x+y)
=-y/(x+y)

-y/(x+y)

1-[(x-y)/(x+2y)]乘以[(x+2y)²/[(x+y)(x-y)]约分得1-[x+2y]/(x+y)再通分化简得-y/(x+y)

-Y/(X+Y)