Here's the question you clicked on:
2bornot2b
Prove that the product of 4 consecutive integers is 1 less than a perfect square.
what have you tried?
oops type-0! :( \[n(n+1)(n+2)(n+3)\]
Tried many things in vain
Kidds stuffs, Let the consecutive integers be \( (n - 1), n, (n + 1), (n + 2) \) Expanding: \[n^4 + 2n^3 - n^2 - 2n= (n^2 + n - 1)^2-1 \]