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先化简 再求值:[4(xy-1)^2-(xy+2)(2-xy)]1/4xy,其中x=-2,y=1/5
人气:434 ℃ 时间:2025-10-28 03:01:05
解答

[4(xy-1)^2-(xy+2)(2-xy)]1/4xy
=[4(xy-1)^2 +(xy+2)(xy-2)]1/4xy
=[4(xy)²-8(xy)+4+(xy)²-4]÷(4xy)
=[5(xy)²-8(xy)]÷(4xy)
=(5xy-8)/4
已知x=-2,y=1/5,那么:xy=-2/5
所以:原式=(5xy-8)/4=[5*(-2/5)-8]/4=(-10)/4=-5/2

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