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

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

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Delwyn 4 years 2020-10-30T13:01:01+00:00 2 Answers 94 views 0

Answers ( )

  1. minhkhoi
    0
    2020-10-30T13:02:16+00:00
    Reply

    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. Farah
    0
    2020-10-30T13:02:34+00:00
    Reply

    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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