Common Traps

Question 1

a^16-b^16

Answer 1

(a^8+b^8)(a^8-b^8)=
(a^8+b^8)(a^4+b^4) (a^4-b^4)=
(a^8+b^8)(a^4+b^4) (a^2+b^2)(a^2-b^2)
=
(a^8+b^8)(a^4+b^4) (a^2+b^2)(a+b)(a-b)