若x/y=2,求分式(x²-xy+3y²)/(x²+xy+6y²)的值

问题描述:

若x/y=2,求分式(x²-xy+3y²)/(x²+xy+6y²)的值

x/y=2
x=2y
所以原式=(4y²-2y²+3y²)/(4y²+2y²+6y²)
=5y²/12y²
=5/12