Đặt \(A=\left(2+1\right)\left(2^2+1\right)\left(2^4+1\right)...\left(2^{32}+1\right)-2^{64}\)
\(\Rightarrow\left(2-1\right)A=\left(2-1\right)\left(2+1\right)\left(2^2+1\right)\left(2^4+1\right)...\left(2^{32}+1\right)-2^{64}\)
\(\Rightarrow A=\left(2^2-1\right)\left(2^2+1\right)\left(2^4+1\right)...\left(2^{32}+1\right)-2^{64}\)
\(\Rightarrow A=\left(2^4-1\right)\left(2^4+1\right)...\left(2^{32}+1\right)-2^{64}\)
\(\Rightarrow A=\left(2^8-1\right)...\left(2^{32}+1\right)-2^{64}\)
\(\Rightarrow A=\left(2^{32}-1\right)\left(2^{32}+1\right)-2^{64}\)
\(\Rightarrow A=2^{64}-1-2^{64}\)
\(\Rightarrow A=-1\)
Vậy A = -1
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