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若|x+2y-1|+y²+4y+4=0,求(2x-y)²-2(2x-y)(x+2y)+(x+2y)²的值
人气:457 ℃ 时间:2020-04-06 10:42:55
解答
∵|x+2y-1|+y²+4y+4=0∴|x+2y-1|+(y+2)²=0∴x=5,y=-2(2x-y)²-2(2x-y)(x+2y)+(x+2y)²=[(2x-y)-(x+2y)]²=(x-3y)²=[5-3×(-2)]²=11²=121
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