若x-y=根号2-1,xy=根号2,则代数式(x-1)(y+1)的值等于?

2024-11-22 02:21:20
推荐回答(3个)
回答(1):

(x-1)(y+1)
=xy+x-y-1
=根号2+根号2-1-1
=2(根号2-1)
祝学习进步

回答(2):

解:由题 x-y=√2-1
xy=√2
(x-1)(y+1)=xy+(x-y)-1
=√2-1+ √2-1
=2√2-2

回答(3):

若x+y=根号2-1,xy=根号2,则
代数式
(x-1)(y-1)的值等于?
(x-1)(y-1)
=xy-x-y+1
=xy-(x+y)+1
=根号2-根号2+1+1
=2