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化简:[x^2-4/(x^2-4x+4)+2-x/x+2]/x除以x-2
人气:327 ℃ 时间:2020-03-28 02:03:02
解答
原式=[(x+2)(x-2)/(x-2)²-(x-2)/(x+2)]/x*1/(x-2)
=[(x+2)/(x-2)-(x-2)/(x+2)]*1/x(x-2)
=(x²+4x+4-x²+4x-4)/(x+2)(x-2)*1/x(x-2)
=8/(x+2)(x-2)²
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