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)](/uploads/image/z/567960-24-0.jpg?t=%E5%88%86%E5%BC%8F%E8%AE%A1%E7%AE%97%3A%EF%BC%88x%26%23178%3B%2B2xy%2By%26%23178%3B%EF%BC%89%2F%EF%BC%88x%26%23178%3By%2Bxy%EF%BC%89%2Ay%2F%EF%BC%88x%2By%EF%BC%89)
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)