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Factor and simplify are different things.

(a-b)^4n

\[a^{4n}-b^{4n}\]\[=(a^{2n})^{2}-(b^{2n})^{2}=...\]

If they share something, it can be factored.

I'm sure if you expand (a-b)^4n, you won't get a^4n - b^4n

okay yeah that was a stupid question :P I understand it now!
thanks anyways guys!

a^2n - b^2n can be further factorised!

The identity used here is \(\large{\color{red}{a^2-b^2=(a+b)(a-b)}}\)

but a^(2n)+b^(2n) cant be furthur factorized?

Yup! unless... using complex number...

thanks guys :)