若|x-y|+(y+3)2=0,则x2+y2-2xy=
问题描述:
若|x-y|+(y+3)2=0,则x2+y2-2xy=
答
∵|x-y|+(y+3)2=0
∴x-y=0
(y+3)2=0
∴x=-3 y=-3
∴x2+y2-2xy
=(x-y)²
=[-3-(-3)]²
=0