Question

观察下面各式,【初二找规律题】（证明的过程要详细）

Answer 1

(n*(n+1)+1)^2=n^2+(n*(n+1))^2+(n+1)^2

证明：左边=(n*(n+1))^2+2n*(n+1)+1

=(n*(n+1))^2+2n^2+2n+1

=n^2+(n*(n+1))^2+(n+1)^2=右边