已知x+y=6,xy=-3,则x2y+xy2=________,x2+y2=________,(x-y)2=________.

发布时间:2020-07-29 17:34:55

已知x+y=6,xy=-3,则x2y+xy2=________,x2+y2=________,(x-y)2=________.

网友回答

-18    42    48

解析分析:将所求代数式适当变形后整体代入x+y=6,xy=-3即可求解.

解答:∵x+y=6,xy=-3,∴x2y+xy2=xy(x+y)=-3×6=-18;x2+y2=(x+y)2-2xy=36+6=42,(x-y)2=(x+y)2-4xy=36+12=48,故
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