若2/x-1/y=3,求[y/x-y/x-y(x-y/x-x+y)]/x-2y/x的值
人气:454 ℃ 时间:2020-06-19 09:49:18
解答
2/x-1/y=3
(2y-x)/(xy)=3
xy/(x-2y)=-1/3
{(y/x)-[y/(x-y)]*[(x-y)/x-x+y]}/[(x-2y)/x]
={y/x-[y/(x-y)*(x-y)/x]+[y/(x-y)*(x-y)]}*x/(x-2y)
=(y/x-y/x+y)*x/(x-2y)
=xy/(x-2y)
=-1/3
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