Question

Rút gọn biểu thức:P=12(5²+1)(5⁴+1)(5⁸+1)(5¹⁶+1)

 

 

Answer 1

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

1/2P=24(5^2+1)(5^4+1)(5^8+1)(5^16+1)

1/2P=(5^2-1)(5^2+1)(5^4+1)(5^8+1)(5^16+1)

1/2P=(5^4-1)(5^4+1)(5^8+1)(5^16+1)

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

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

1/2P=5^32-1

P=(5^32-1):1/2=2(5^32-1)

Answer 2

\(2P=\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(2P=\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(2P=\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(2P=\left(5^{16}-1\right)\left(5^{16}+1\right)\Rightarrow2P=5^{32}-1\Rightarrow P=\frac{5^{32}-1}{2}\)

Answer 3

mình nhầm phải là 2P mới đúng bn sửa lại rồi làm bt