已知x-y=1/2,xy=8.求-1/2x³y-1/2xy³+x²y²的值.
问题描述：
已知x-y=1/2,xy=8.求-1/2x³y-1/2xy³+x²y²的值.
答
-1/2x³y-1/2xy³+x²y²
=-1/2xy(x²+y²-2xy)
=-1/2xy(x-y)²
=-1/2×8×(1/2)²
=-1
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