x/y=3,求x²+y²-xy/x²-y²的值.

问题描述:

x/y=3,求x²+y²-xy/x²-y²的值.

∵x/y=3
∴x=3y
∴(x²+y²-xy)/(x²-y²)=(9y²+y²-3y²)/(9y²-y²)=7y²/8y²=7/8