beauty lies in understanding the question then answering it?

Question

factorize
a ^ (n) - b ^ (n)
here n is odd and greater then 3.
no ..... (dots)to be used in between pls.
no terms other then a,b,n and the
natural numbers should be used
in the factorized answer.

Answer 1

Just go to this site
http://perta.fizyka.amu.edu.pl/pnq/#gen
Here you will surely find your answer

Answer 2

a^n-b^n=a-b when n=1
=(a-b)(a^2+ab+b^2) when n=3
=(a-b)(a^4+a^3b+a^2b^2+ab^3+b^... n=5
=(a-b)(a^6+a^5b+a^4b^2+a^3b^3+... n=7
so by mathematical induction
a^n-b^n=(a-b)(a^(n-1)+a^(n-2)b...
+ab^(n-2)+b^(n-1)
where n is an element of odd natural nos>3