若x+y=0,xy=-3则x^3y+xy^3=?
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若x+y=0,xy=-3则x^3y+xy^3=?若x+y=0,xy=-3则x^3y+xy^3=?若x+y=0,xy=-3则x^3y+xy^3=?x+y=0平方x²+y²+2xy=0
若x+y=0,xy=-3则x^3y+xy^3=?
若x+y=0,xy=-3则x^3y+xy^3=?
若x+y=0,xy=-3则x^3y+xy^3=?
x+y=0
平方
x²+y²+2xy=0
x²+y²=-2xy=6
所以原式=xy(x²+y²)=-18
—18
因为x+y=0,则(x+y)²=0=x²+y²+2xy=x²+y²-6,则,x²+y²=6
而x^3y+xy^3=xy*(x²+y²)=-3*6=-18
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