已知x/y=1/2,求2x/(x²-2xy+y² )* (x²-y²/x+y)+

问题描述:

已知x/y=1/2,求2x/(x²-2xy+y² )* (x²-y²/x+y)+2y/x-y
1个回答 分类:数学 2014-12-04

问题解答:

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[2x/(x²-2xy+y² )]* [(x²-y²)/(x+y)]+2y/(x-y) 【电脑上录入表达式,尽可能多用括号,否则多歧义】
=[2x/(x-y)²]* [(x+y)(x-y)/(x+y)]+2y/(x-y)
=2x/(x-y)+2y/(x-y)
=2(x+y)/(x-y) 【分子分母都除以y】
=2(x/y+1)/(x/y-1)
=2(1/2+1)/(1/2-1)
=-6
 
 
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