A question about factorization? What can n (n + 1) (n + 2) (n + 3) + 1 be decomposed into?

"2" stands for the square, and "2" stands for the real number 2
n(n+1)(n+2)(n+3)+1
=[n(n+3)][(n+1)(n+2)]+1
=(square of N + 3n) (square of N + 3N + 2) + 1
=Square of (n + 3n) + 2 (n + 3N + 2) + 1
=Square of (n + 3N + 1)
(complete square formula)

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