若x−y=2−1,xy=2,则代数式(x-1)(y+1)的值等于 _
问题描述:
若x−y=
−1,xy=
2
,则代数式(x-1)(y+1)的值等于 ______
2
答
(x-1)(y+1)
=xy+x-y-1
=xy+(x-y)-1
把x−y=
−1,xy=
2
代入上式得:
2
=
+
2
-1-1
2
=2
-2
2
故答案为2
-2
2