若/x+y+1/与(x-y+2012)的平方互为相反数,则(x+y)(x-y)=?
问题描述：
若/x+y+1/与(x-y+2012)的平方互为相反数,则(x+y)(x-y)=?
答
/x+y+1/+(x-y+2012)²=0
x+y+1=0
x-y+2012=0
x+y=-1
x-y=-2012
(x+y)(x-y)
=-1x(-2012)
=2012