化简求值y/x-y +y立方/x立方-2x平方y+xy平方除以xy+y平方/y平方-x平方,其中x=2/3,y=-3
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化简求值y/x-y +y立方/x立方-2x平方y+xy平方除以xy+y平方/y平方-x平方,其中x=2/3,y=-3
/>原式=[y/(x-y)]+[y³/(x³-2x²y+xy²)]÷[(xy+y²)/(y²-x²)]
=[y/(x-y)]+{y³/[x(x²-2xy+y²)]}÷{y(x+y)/[-(x-y)(x+y)]}
=[y/(x-y)]+{y³/[x(x-y)²]}×[-(x-y)/y]
=[y/(x-y)]+{-y²/[x(x-y)]}
=xy/[x(x-y)]-y²/[x(x-y)]
=(xy-y²)/[x(x-y)]
=y(x-y)/[x(x-y)]
=y/x
=-3/(2/3)
=-9/2
=[y/(x-y)]+{y³/[x(x²-2xy+y²)]}÷{y(x+y)/[-(x-y)(x+y)]}
=[y/(x-y)]+{y³/[x(x-y)²]}×[-(x-y)/y]
=[y/(x-y)]+{-y²/[x(x-y)]}
=xy/[x(x-y)]-y²/[x(x-y)]
=(xy-y²)/[x(x-y)]
=y(x-y)/[x(x-y)]
=y/x
=-3/(2/3)
=-9/2
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