已知|x-y+3|与2(x+2)²互为相反数求x²+2xy+y²的值
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![已知|x-y+3|与2(x+2)²互为相反数求x²+2xy+y²的值](/uploads/image/z/1673193-57-3.jpg?t=%E5%B7%B2%E7%9F%A5%7Cx-y%2B3%7C%E4%B8%8E2%28x%2B2%29%26%23178%3B%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0%E6%B1%82x%26%23178%3B%2B2xy%2By%26%23178%3B%E7%9A%84%E5%80%BC)
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