已知|x-y+3|与2(x+2)²互为相反数求x²+2xy+y²的值

已知|x-y+3|与2(x+2)²互为相反数求x²+2xy+y²的值
已知|x-y+3|与2(x+2)²互为相反数
求x²+2xy+y²的值

已知|x-y+3|与2(x+2)²互为相反数求x²+2xy+y²的值
解
|x-y+3|与2(x+2)²互为相反数
∴|x-y+3|+2(x+2)²=0
∴x-y+3=0,x+2=0
∴x=-2
∴y=1
∴x²+2xy+y²
=(x+y)²
=(-2+1)²
=1