( n(√((n+1))) +(n+1)(√n) )^n +( n(√((n+1))) −(n+1)(√n) )^n =n^2 (n+1)(n+3)


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Question Number 217482 by Rasheed.Sindhi last updated on 14/Mar/25

${(n \sqrt{(n + 1)} + (n + 1) \sqrt{n})}^{n} + {(n \sqrt{(n + 1)} - (n + 1) \sqrt{n})}^{n} = n^{2} (n + 1) (n + 3)$
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