x=√3+√2,y=√3-√2 (x-y)∧2-(x-2y)(2x-y) 求大侠帮忙

答案错了啊
2025-03-02 08:14:12
推荐回答(1个)
回答1:

由x=√3+√2,y=√3-√2 ,得,
x-y=√3+√2-√3+√2 =2√2,
xy=(√3+√2)(√3-√2 )=1
所以 (x-y)∧2-(x-2y)(2x-y)
=(x-y)²-(2x²-xy-4xy+2y²)
=(x-y)²-2(x²-2xy+y²)+xy
=(x-y)²-2(x-y)²+xy
=-(x-y)²+xy
=-(2√2)²+1
=-8+1
=-7