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

Toán Lớp 8: rút gọn: `12(5^2 + 1)(5^4 +1)(5^8 + 1)(5^16 + 1)`

Toán Lớp 8: rút gọn: 12(5^2 + 1)(5^4 +1)(5^8 + 1)(5^16 + 1)

Comments ( 2 )

  1. \qquad 12(5^2+1)(5^4+1)(5^8+1)(5^16+1)
    =1/2. (5^2-1)(5^2+1)(5^4+1)(5^8+1)(5^16+1)
    =1/2(5^4-1)(5^4+1)(5^8+1)(5^16+1)
    =1/2(5^8-1)(5^8+1)(5^16+1)
    =1/2(5^16-1)(5^16+1)
    =1/2(5^32-1)
    =(5^32)/2-1/2

  2. Giải đáp:
    =(5^32-1)/2
    Lời giải và giải thích chi tiết:
    12(5^2+1)(5^4+1)(5^8+1)(5^16+1)
    =(2.12(5^2+1)(5^4+1)(5^8+1)(5^16+1))/2
    =(24(5^2+1)(5^4+1)(5^8+1)(5^16+1))/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)/2

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