(a+1)(a2+1)(a4+1)(a16+1)(a32+1)

Question

(a+1)(a2+1)(a4+1)(a16+1)(a32+1)

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Answer 1

(a-1)(a+1)(a²+1)(a^4+1)(a^8+1)(a^16+1)(a^32++1)/(a-1)=
=(a²-1)(a²+1)(a^4+1)(a^8+1)(a^16+1)(a^32++1)/(a-1)=
=(a^4-1)(a^4+1)(a^8+1)(a^16+1)(a^32++1)/(a-1)=
=(a^8-1)(a^8+1)(a^16+1)(a^32++1)/(a-1)=
=(a^16-1)(a^16+1)(a^32++1)/(a-1)=
=(a^32-1)(a^32++1)/(a-1)=
(a^64-1)/(a-1)