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已知:x+y=1,xy=-1/2,求:(x+y)²(x-y)+2y²(x+y)的值.
人气:440 ℃ 时间:2019-10-23 12:03:53
解答
(x+y)²(x-y)+2y²(x+y)=(x+y)[(x+y)(x-y)+2y²]=(x+y)(x²-y²+2y²)=(x+y)(x²+y²)=x²+y²=(x+y)²-2xy=1-2(-1/2)=1+1=2
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