㎡=n+2.n²=m+2且m≠n求m²+2mn+n²的值
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![㎡=n+2.n²=m+2且m≠n求m²+2mn+n²的值](/uploads/image/z/10088137-1-7.jpg?t=%E3%8E%A1%3Dn%2B2.n%26%23178%3B%3Dm%2B2%E4%B8%94m%E2%89%A0n%E6%B1%82m%26%23178%3B%2B2mn%2Bn%26%23178%3B%E7%9A%84%E5%80%BC)
㎡=n+2.n²=m+2且m≠n求m²+2mn+n²的值
㎡=n+2.n²=m+2且m≠n求m²+2mn+n²的值
㎡=n+2.n²=m+2且m≠n求m²+2mn+n²的值
∵m²=n+2,n²=m+2
∴m²-n²=n-m
∴(m-n)(m+n)=n-m
∴(m-n)(m+n+1)=0
而m≠n,则m-n≠0
∴m+n+1=0
∴m+n=-1
∴m²+2mn+n²=(m+n)²=1
不会v