若xy=-2,x-y=52-1,则(x+1)(y-1)= _ .

问题描述:

若xy=-

2
,x-y=5
2
-1,则(x+1)(y-1)= ___ .

原式=xy-x+y-1
=xy-(x-y)-1,
∵xy=-

2
,x-y=5
2
-1,
∴原式=-
2
-5
2
+1-1
=-6
2

故答案为:-6
2