Question

已知x分之1+y分之1=5,则分式x+2xy+y分之2x-3xy+2y的值为

快

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

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