|x+y-1|与|x-y+3|互为相反数,则（x+y)²º¹¹的值为?

|x+y-1|与|x-y+3|互为相反数,则（x+y)²º¹¹的值为?
|x+y-1|与|x-y+3|互为相反数,则（x+y)²º¹¹的值为?

|x+y-1|与|x-y+3|互为相反数,则（x+y)²º¹¹的值为?
因为|x+y-1|与|x-y+3|互为相反数
所以|x+y-1|=0,|x-y+3|=0
及x+y-1=0,x-y+3=0
所以x=-1,y=2
所以（x+y)²º¹¹=（-1+2)²º¹¹=1

x=-1,y=2,(X+Y)^2011=1

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