分式计算:(x²+2xy+y²)/(x²y+xy)*y/(x+y)

问题描述:

分式计算:(x²+2xy+y²)/(x²y+xy)*y/(x+y)

原式=(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

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