Hi,

I hope someone can help provide elaboration on the homework question that I'm faced with, and why the solution is what it is.

The homework question is as follows:

Determine a general rules to help decide whetherx - aand x + a are factors ofx^n - a^nandx^n + a^n.

The homework solution is as follows:

- Forx^n - a^n, if n is even, they're both factors.

- If n is odd, onlyx - ais a factor. Forx^n + a^n, if n is even, neither is a factor.

- If n is odd, onlyx + ais a factor.

Sincerely,

Olivia