先化简,在求值:[y(x-y)-x(x+y)]/(x²-y²)÷(x²+y²)/(x+y),其中x=2,y=-1

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先化简,在求值:[y(x-y)-x(x+y)]/(x²-y²)÷(x²+y²)/(x+y),其中x=2,y=-1

先化简,在求值:[y(x-y)-x(x+y)]/(x²-y²)÷(x²+y²)/(x+y),其中x=2,y=-1
先化简,在求值:[y(x-y)-x(x+y)]/(x²-y²)÷(x²+y²)/(x+y),其中x=2,y=-1

先化简,在求值:[y(x-y)-x(x+y)]/(x²-y²)÷(x²+y²)/(x+y),其中x=2,y=-1
[y(x-y)-x(x+y)]/(x²-y²)÷(x²+y²)/(x+y)
=[-(x²+y²)]/(x²-y²)×(x+y)/(x²+y²)
=-(x+y)/(x²-y²)
=-1/(x-y)
=1/(y-x),
当x=2,y=-1时,原式=1/(-1-2)=-1/3.