Can you Help me please

I have attached a picture of me solving the equation. If you have any questions I am here to help. Hope this helps, thank you :) !!

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

answer: i don't understand. what are the options

step-by-step explanation: