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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: d,`3(2^2 +1 ) ( 2^4 +1)(2^8 +1)(2^16 + 1)`

Toán Lớp 8: d,3(2^2 +1 ) ( 2^4 +1)(2^8 +1)(2^16 + 1)

Comments ( 2 )

  1. Giải đáp:
    = (2^32-1)
    Lời giải và giải thích chi tiết:
    Áp dụng HĐT: a^2- b^2= (a-b)(a+b)
    3.(2^2+1)(2^4+ 1)(2^8+ 1)(2^16+ 1)
    = (2^2-1)(2^2+1)(2^4+1)(2^16+1)
    =(2^4-1)(2^4+1)(2^8+1)(2^16+1)
    =(2^8-1)(2^8+1)(2^16+1)
    =(2^16-1)(2^16+1)
    = (2^32-1)

  2. 3.(2^2+1).(2^4+1).(2^8+1).(2^{16}+1)
    =(2^2-1).(2^2+1).(2^4+1).(2^8+1).(2^{16}+1)
    =[(2^2-1).(2^2+1)].(2^4+1).(2^8+1).(2^{16}+1)
    =(2^4-1).(2^4+1).(2^8+1).(2^{16}+1)
    =[(2^4-1).(2^4+1)].(2^8+1).(2^{16}+1)
    =(2^8-1).(2^8+1).(2^{16}+1)
    =[(2^8-1).(2^8+1)].(2^{16}+1)
    =(2^{16}-1).(2^{16}+1)
    =2^{32}-1

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222-9+11+12:2*14+14 = ? ( )

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