rút gọn 3.(4^2+1).(4^4+1).(4^8+1).(4^16+1).(4^32+1)

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1. Đáp án:

    

   Giải thích các bước giải:

    Đặt `A=3.(4^2+1).(4^4+1).(4^8+1).(4^16+1).(4^32+1)`

   `=>5A=(4-1)(4+1).(4^2+1)(4^4+1).(4^8+1).(4^16+1).(4^32+1)`

   `=>5A=(4^2-1)(4^2+1)(4^4+1).(4^8+1).(4^16+1).(4^32+1)`

   `=>5A=(4^4-1)(4^4+1).(4^8+1).(4^16+1).(4^32+1)`

   `=>5A=(4^8-1)(4^8+1)(4^16+1).(4^32+1)`

   `=>5A=(4^16-1)(4^16+1)(4^32+1)`

   `=>5A=(4^32-1)(4^32+1)`

   `=>5A=4^64-1`

   `=>A=(4^64-1)/5`

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2. Đáp án:

   Đặt ` A = 3.(4^2+1).(4^4+1).(4^8+1).(4^{16}+1).(4^{32}+1)`

   `=> 5A =  15(4^2+1).(4^4+1).(4^8+1).(4^{16}+1).(4^{32}+1)`

   `=> 5A = (4^2 – 1)(4^2+1).(4^4+1).(4^8+1).(4^{16}+1).(4^{32}+1)`

   `=> 5A = (4^4 – 1)(4^4+1).(4^8+1).(4^{16}+1).(4^{32}+1)`

   `=> 5A = (4^8 – 1)(4^8+1).(4^{16}+1).(4^{32}+1)`

   `=> 5A = (4^{16} – 1).(4^{16}+1).(4^{32}+1)`

   `=> 5A = (4^{32} – 1)(4^{32} + 1)`

   `=> 5A = 4^{64} – 1`

   `=> A = (4^{64} – 1)/5`

   Giải thích các bước giải:

    

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