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

Toán Lớp 8: Rút gọn biểu thức 3( $2^{2}$ +1)( $2^{4}$ +1)…( $2^{64}$ +1)+1

Toán Lớp 8: Rút gọn biểu thức 3( $2^{2}$ +1)( $2^{4}$ +1)…( $2^{64}$ +1)+1

Comments ( 2 )

  1. Đáp án:
     
    Giải thích các bước giải:
     

    toan-lop-8-rut-gon-bieu-thuc-3-2-2-1-2-4-1-2-64-1-1

  2. $3(2^2+1)(2^4+1)…(2^{64}+1)+1$
    $= (2^2-1)(2^2+1)…(2^{64}+1)+1$
    $= (2^4-1)(2^4+1)…(2^{64}+1)+1$
    $= (2^8-1)(2^8+1)…(2^{64}+1)+1$
    $= (2^{64}-1)(2^{64}+1)+1$
    $= 2^{128}-1+1$
    $= 2^{128}$
     

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