rút gọ biểu thức sau : P = 12(5^2 + 1 )(5^4 +1 )(5^8 +1)(5^16+1)

`P=12.(5^2+1)(5^4+1)(5^8+1)(5^{16}+1)`

`⇒2P=24.(5^2+1)(5^4+1)(5^8+1)(5^{16}+1)`

`⇒2P=(5^2-1)(5^2+1)(5^4+1)(5^8+1)(5^{16}+1)`

`⇒2P=(5^4-1)(5^4+1)(5^8+1)(5^{16}+1)`

`⇒2P=(5^8-1)(5^8+1)(5^{16}+1)`

`⇒2P=(5^{16}-1)(5^{16}+1)`

`⇒2P=5^{32}-1`

`⇒P=\frac{5^{32}-1}{2}`

P= 12($5^{2}$ + 1 )($5^{4}$ +1 )($5^{8}$ +1)($5^{16}$+1)

2P = 24.(5^2 + 1 )(5^4 + 1) ... (5^16 + 1)

2P = (5^2 - 1) (5^2 + 1) (5^4 + 1) .. (5^16+1)

2P = (5^4 - 1 )(5^4 + 1 ) (5^8 + 1)

2P = (5^8 - 1 ) (5^8 + 1) (5^16 + 1)

2P = ( 5^ 16 - 1 ) 5^ 16 + 1)

2P = 5^32 - 1

P = (5^32 - 1) : 2