若xy=-2,x-y=52-1,则(x+1)(y-1)= _ .
问题描述:
若xy=-
,x-y=5
2
-1,则(x+1)(y-1)= ___ .
2
答
原式=xy-x+y-1
=xy-(x-y)-1,
∵xy=-
,x-y=5
2
-1,
2
∴原式=-
-5
2
+1-1
2
=-6
.
2
故答案为:-6
.
2