已知2x-y=0,求x^2-y^2⼀x^3+y^3÷(x-y)^2⼀(x+y)^3的值

2025-12-14 22:29:45
推荐回答(2个)
回答1:

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

回答2:

有题可知y=2x,带入右式即可算,不过题目是不是抄错了呀?