已知│x-y+1│与x2+8x+16互为相反数,求x2+2xy+y2的值．

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/12 17:24:49

已知│x-y+1│与x2+8x+16互为相反数,求x2+2xy+y2的值．
x-y+1=0;(1)
(x+4)=0;
x=-4;
y=-4+1=-3;
∴x2+2xy+y2=(x+y)²=(-4-3)²=49;
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