Question

Tính : \(A=\left(2+1\right)\times\left(2^2+1\right)\times\left(2^4+1\right)\times\left(2^8+1\right)\times\left(2^{16}+1\right)\times\left(2^{32}+1\right)\)

Answer 1

\(A=\left(2+1\right)\left(2^2+1\right)\left(2^4+1\right)...\left(2^{32}+1\right)\)

\(=\left(2-1\right)\left(2+1\right)\left(2^2+1\right)\left(2^4+1\right)...\left(2^{32}+1\right)\)

\(=\left(2^2-1\right)\left(2^2+1\right)\left(2^4+1\right)...\left(2^{32}+1\right)\)

\(=\left(2^4-1\right)...\left(2^{32}+1\right)\)

..............................................................

\(=2^{64}-1\)

Answer 2

42.(-53)+47.(-156)+(-114).(-47)

Answer 3

\(2^{64}-1\)

Answer 4

A=(4-1)(2^2 + 1)......(2^32+1)

A=(2^2-1)(2^2+1)...(2^32+1)

A=(2^4-1).......(2^32+10)

..................................................

A=2^64-1

Answer 5

\(A=\left(2+1\right)\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\left(2^{32}+1\right)\)

\(A=\left(2-1\right)\left(2+1\right)\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\left(2^{32}+1\right)\)

\(A=\left(2^2-1\right)\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\left(2^{32}+1\right)\)

\(A=\left(2^4-1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\left(2^{32}+1\right)\)

\(A=\left(2^8-1\right)\left(2^8+1\right)\left(2^{16}+1\right)\left(2^{32}+1\right)\)

\(A=\left(2^{16}-1\right)\left(2^{16}+1\right)\left(2^{32}+1\right)\)

\(A=\left(2^{32}-1\right)\left(2^{32}+1\right)=2^{64}-1\)