若x−y=2−1,xy=2,则代数式(x-1)(y+1)的值等于 _

问题描述:

x−y=

2
−1,xy=
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
x−y=

2
−1,xy=
2
代入上式得:
=
2
+
2
-1-1
=2
2
-2
故答案为2
2
-2