There are two parts for this question.

1. show that, for any constantaand any natural numbern, x - ais a factor ofx^n - a^n.

2. find conditions(if any) onnthat are required in order that:

i.x + ais a factor ofx^n - a^n

ii.x + ais a factor ofx^n - a^n

this is probably a big ask but I really really want to understand the theory behind this so I really need to get this properly explained!

thanks in advance!!