If n is a natural number, can you explain why the value of n (2n + 1) - 2n (n-1) must be a multiple of 3?

If n is a natural number, can you explain why the value of n (2n + 1) - 2n (n-1) must be a multiple of 3?


The original formula is 2n 2 + n-2N 2 + 2n = 3N, and the result is a multiple of 3