Question

(a+1/a)(a^2+a^2/1) (a^4+a^4/1)(a^8+a^8/1)(a^2-1)

Answer 1

=a(a-1/a)(a+1/a) (a^2+1/a^2) (a^4+1/a^^4)(a^8+1/a^8)

=a(a^2-1/a^2)(a^2+1/a^2) (a^4+1/a^^4)(a^8+1/a^8)

=a(a^4-1/a^4) (a^4+1/a^^4)(a^8+1/a^8)

=a(a^8-1/a^8) (a^8+1/a^8)

=a(a^16-1/a^16)

=a^17 -1/a^15