已知x/y=1/2,求2x/(x²-2xy+y² )* (x²-y²/x+y)+2y/x-y
问题描述:
已知x/y=1/2,求2x/(x²-2xy+y² )* (x²-y²/x+y)+2y/x-y
答
[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...