Question

已知1/x+1/y=5,求x+2xy+y/2x-3xy+2y的值

Answer 1

1/x + 1/y = 5

(x+y)/x*y = 5

x+y = 5*x*y

x+2xy+y = x+y + 2xy = 5xy+2xy = 7xy

2x-3xy+2y = 10xy-3xy = 7xy

(x+2xy+y)/(2x-3xy+2y) = 1