解:由2x-y=0,得y=2x (x²-y²)/(x³+y³)÷(x-y)²/(x+y)³=(x²-y²)/(x³+y³)·(x+y)³/(x-y)²=[x²-(2x)²]/[x³+(2x)³]·(x+2x)³/(x-2x)²=(x²-4x²)/(x³+8x³)·(3x)³/(-x)²=(-3x²)/(9x³)·(27x³)/x²=-1/(3x)·27x=-9
有题可知y=2x,带入右式即可算,不过题目是不是抄错了呀?