(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)-(4^2)^8-(-1)^2011
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)-(4^2)^8-(-1)^2011
=(2^32-1)-2^32-(-1)
=0
(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)-(4^2)^8-(-1)^2011
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)-(4^2)^8-(-1)^2011
=(2^32-1)-2^32-(-1)
=0