Question

Chuyển sang hằng đẳng thức A^2 - B^2 
(4+1) (4^2 +1) (4^11+1) (4^8 +1) (4^16+1)

Answer 1

\(3\left(4+1\right)\left(4^2+1\right)\left(4^4+1\right)\left(4^8+1\right)\left(4^{16}+1\right)\)

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

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

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

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

\(=\left(4^{16}-1\right)\left(4^{16}+1\right)\)

\(=4^{32}-1\)