来自何世存的问题
【已知(y/x)的绝对值等于3,求分式[(x^2+2xy+y^2)/(x^2*y^2)]*[(x-y)/(x-2y)的值.】
已知(y/x)的绝对值等于3,求分式[(x^2+2xy+y^2)/(x^2*y^2)]*[(x-y)/(x-2y)的值.
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2020-03-3100:13
【已知(y/x)的绝对值等于3,求分式[(x^2+2xy+y^2)/(x^2*y^2)]*[(x-y)/(x-2y)的值.】
已知(y/x)的绝对值等于3,求分式[(x^2+2xy+y^2)/(x^2*y^2)]*[(x-y)/(x-2y)的值.
|y/x|=3,=>y=3x或者y=-3x,x不等于0
1:y=3x;[(x^2+2xy+y^2)/(x^2*y^2)]*[(x-y)/(x-2y)]=16/25;x,y不等于0
2:y=-3x;[(x^2+2xy+y^2)/(x^2*y^2)]*[(x-y)/(x-2y)]=8/35;x,y不等于0