先化简再求值:【1/(x-y)-1/(x+y)】÷(xy²)/(x²-y²),其中x=1-根号2,y=1+根号2

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先化简再求值:【1/(x-y)-1/(x+y)】÷(xy²)/(x²-y²),其中x=1-根号2,y=1+根号2

先化简再求值:【1/(x-y)-1/(x+y)】÷(xy²)/(x²-y²),其中x=1-根号2,y=1+根号2
先化简再求值:【1/(x-y)-1/(x+y)】÷(xy²)/(x²-y²),其中x=1-根号2,y=1+根号2

先化简再求值:【1/(x-y)-1/(x+y)】÷(xy²)/(x²-y²),其中x=1-根号2,y=1+根号2
【1/(x-y)-1/(x+y)】÷(xy²)/(x²-y²)
=[1/(x-y)-1/(x+y)]×(x+y)(x-y)/(xy²)
=(x+y)/(xy²-(x-y)/(Xy²)
=(x+y-x+y)/(xy²)
=2/(xy)
当x=1-√2,y=1+√2时
原式=2/[(1-√2)(1+√2)]
=2/(1-2)
=-2