Đáp án:
Giải thích các bước giải:
A=(2+1)($2^{2}$ +1)($2^{4}$ +1)($2^{8}$ +1)($2^{16}$ +1)($2^{32}$ +1)
=(2-1)(2+1)($2^{2}$ +1)($2^{4}$ +1)($2^{8}$ +1)($2^{16}$ +1)($2^{32}$ +1)
= ($2^{2}$ -1)($2^{2}$+1)($2^{4}$ +1)($2^{8}$ +1)($2^{16}$ +1)($2^{32}$ +1)
= ($2^{4}$ -1) ($2^{4}$ +1)($2^{8}$ +1)($2^{16}$ +1)($2^{32}$ +1)
=($2^{8}$ - 1)($2^{8}$ + 1)($2^{16}$ +1)($2^{32}$ +1)
=($2^{16}$ - 1)($2^{16}$ +1)($2^{32}$ +1)
= ($2^{32}$ - 1)($2^{32}$ + 1)
= $2^{64}$ - 1
Vậy A = $2^{64}$ - 1
