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

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

=...=2^32-1

nhân hết ra là xong:))

bài về nhà hs phải tự làm

Cái bước (2²-1)(2² + 1)(2⁴ +1)(2¹⁶+1) làm như thế nào mà ra vậy

        \(M=1.\left(a+b\right)\left(a^2+b^2\right).......\)

    \(=\left(a-b\right)\left(a+b\right)\left(a^2+b^2\right)....\)

   \(=\left(a^2-b^2\right)\left(a^2+b^2\right)....\)

                        \(=\left(a^4-b^4\right)\left(a^4+b^4\right)......\)

                                            \(=\left(a^8-b^8\right)\left(a^8+b^8\right)\left(a^{16}+b^{16}\right)\)

                                                             \(=\left(a^{16}-b^{16}\right)\left(a^{16}+b^{16}\right)\)

                                                              \(=a^{32}-b^{32}\)

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

 =2.(5^4-1).(5^4+1).(5^8+1).(5^16+1)

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

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

= 2.(5^32-1)

 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) 
=(5^2-1)(5^2+1)(5^4+1)(5^8+1)(5^16+1) 
=(5^4-1)(5^4+1)(5^8+1)(5^16+1) 
=(5^8-1)(5^8+1)(5^16+1) 
=(5^16-1)(5^16+1) 
=5^32-1 
=> P = (5^32-1)/2 

\(\frac{36}{16}-\frac{10}{8}=\frac{9}{4}-\frac{5}{4}=1\)

@muối

3616−108=94−54=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

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

\(\Rightarrow2P=24\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(\Leftrightarrow2P=\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(\Leftrightarrow2P=\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(\Leftrightarrow2P=\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(\Leftrightarrow2P=\left(5^{16}-1\right)\left(5^{16}+1\right)\)

\(\Leftrightarrow2P=5^{32}-1\)

\(\Leftrightarrow P=\frac{5^{32}-1}{2}\)

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

đúng nha

7/2

14/4 = 7/2

28/8=14/4=7/2