Answer:
Hence, n 3 −n=n(n+1)(n−1) is divisible by 6.
Explanation:
Let's simplify the equation first:
(n-3)(n+2)-(n-3)(n+8)
= n² - n - 6 - (n² + 5n - 24)
= n² - n - 6 - n² - 5n +24
= -6n - 18
Divisible means that the equation can be divided by 6 with no remainder.
If I divide the equation by 6, I get (-n-3)
It goes in evenly, therefore it is divisible by 6