(a+1)(a-1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)(a^32+1).(a^1024+1)=

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(a+1)(a-1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)(a^32+1).(a^1024+1)=

(a+1)(a-1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)(a^32+1).(a^1024+1)=
(a+1)(a-1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)(a^32+1).(a^1024+1)=

(a+1)(a-1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)(a^32+1).(a^1024+1)=
(a+1)(a--1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)(a^32+1).(a^1024+1)
=(a^2--1)(a^2+1)(a^4+1)(a^8+1)(a^16+1)(a^32+1).(a^1024+1)
=(a^4--1)(a^4+1)(a^8+1)(a^16+1)(a^32+1).(a^1024+1)
=(a^8--1)(a^8+1)(a^16+1)(a^32+1).(a^1024+1)
=.
=(a^1024--1)(a^1024+1)
=(a^2048--1).