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T
29 tháng 6 2017
\(Q=5^{53}-24\cdot\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(=5^{53}-\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(=5^{53}-\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(=5^{53}-\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(=5^{53}-\left(5^{16}-1\right)\left(5^{16}+1\right)\)
\(=5^{53}-\left(5^{32}-1\right)\)
29 tháng 6 2017
\(Q=5^{53}-24\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
=> \(Q=5^{53}-\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
=> \(Q=5^{53}-\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
=> \(Q=5^{53}-\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
=> \(Q=5^{53}-\left(5^{16}-1\right)\left(5^{16}+1\right)\)
=> \(Q=5^{53}-\left(5^{32}-1\right)\)
=> \(Q=5^{53}-5^{32}+1\)
HY
1
HY
2
9 tháng 10 2016
\(Q=5^{32}-24\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(=5^{32}-\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(=5^{32}-\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(=5^{32}-\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(=5^{32}-\left(5^{16}-1\right)\left(5^{16}+1\right)=5^{32}-\left(5^{32}-1\right)=1\)
PA
9 tháng 10 2016
\(Q=5^{32}-24\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(=5^{32}-\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(=5^{32}-\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(=5^{32}-\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(=5^{32}-\left(5^{16}-1\right)\left(5^{16}+1\right)\)
\(=5^{32}-5^{32}+1\)
= 1
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