解: (1)a-b=2,ab=2
a³b-2a²b²+ab³
=ab(a²-2ab+b²)
=ab(a-b)²
=2×2²
=8
2 2x-y=12.....(1)
, x+2y=11....(2)
由(1)得 y=2x-12
把y=2x-12代入(2)得
x+2(2x-12)=11
x+4x-24=11
5x=35
x=7
则y=2x-12=2×7-12=2
所以x=7, y=2
则(2x-y)³-(2x-y)³(x-3y)
=(2x-y)³(1-x+3y)
=12³×(1-7+3×2)
=12³×0
=0
简单解法: 由 2x-y=12.....(1)
, x+2y=11....(2)
(1)-(2)得
x-3y=1
(2x-y)³-(2x-y)³(x-3y)
=(2x-y)³(1-x+3y)
=(2x-y)³[1-(x-3y)]
=12³×(1-1)
=0
祝你学习进步,如有不明可以追问.同意我的答案请采纳,O(∩_∩)O谢谢
a³b-2a²b²+ab³=ab(a^2-2ab+b^2)=ab(a-b)^2=2*2*2=8
³是什么意思?
1, ab(a2-2ab+b2)=ab(a-b)2=2*4=8
2,(2x-y)3(1-(x-3y)=12^3*(1-1)=0