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已知Y=X平方-2X+1/X平方-1除以X平方-X/X+1乘以5x试说明在代数式有意义的情况下,不论x取何值y的值都不变
人气:490 ℃ 时间:2019-08-19 01:56:35
解答
y=[(x^2-2x+1)/(x^2-1)]÷[(x^2-x)/(x+1)]*5x
=[(x-1)^2/(x-1)(x+1)]÷[x(x-1)/(x+1)]*5x
=[(x-1)/(x+1)]÷[x(x-1)/(x+1)]*5x
=(1÷x)*5x
=5
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