分式计算:(x²+2xy+y²)/(x²y+xy)*y/(x+y)

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分式计算:(x²+2xy+y²)/(x²y+xy)*y/(x+y)

分式计算:(x²+2xy+y²)/(x²y+xy)*y/(x+y)
分式计算:(x²+2xy+y²)/(x²y+xy)*y/(x+y)

分式计算:(x²+2xy+y²)/(x²y+xy)*y/(x+y)
(x²+2xy+y²)/(x²y+xy)*y/(x+y)
=:(x+y)²/(xy(x+1)*y/(x+y)
=(x+y)/[x(x+1)]

原式
=[(x+y)²]除以[(xy)(x+y)]乘以[y/(x+y)]
=1/x

原式=(x+y)²/xy(x+1)*y/(x+y)
  =(x+y)/x(x+1)