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

Toán Lớp 8: KHỐI TÁM – Câu 4: Tính giá trị của biểu thức A= (2 + 1)($2^{2}$ + 1)($2^{4}$ + 1)( $2^{8}$ + 1)($2^{16}$ + 1)( $2^{32}$ + 1) – $2^{6

Toán Lớp 8: KHỐI TÁM – Câu 4: Tính giá trị của biểu thức A= (2 + 1)($2^{2}$ + 1)($2^{4}$ + 1)( $2^{8}$ + 1)($2^{16}$ + 1)( $2^{32}$ + 1) – $2^{64}$
A. -1
B. 1
C. $-2^{128}$
D. $2^{64}$

Comments ( 1 )

  1. $\\$
    A=(2+1)(2^2+1)(2^4+1)(2^8+1)(2^{16}+1)(2^{32}+1)-2^{64}
    =(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^{16}+1)(2^{32}+1)-2^{64}
    =(2^2-1) (2^2+1)(2^4+1)(2^8+1)(2^{16}+1)(2^{32}+1)-2^{64}
    = (2^4-1) (2^4+1)(2^8+1)(2^{16}+1)(2^{32}+1)-2^{64}
    = (2^8-1) (2^8+1)(2^{16}+1)(2^{32}+1)-2^{64}
    =(2^{16}-1) (2^{16}+1)(2^{32}+1)-2^{64}
    =(2^{32-1})(2^{32+1})-2^{64}
    =2^{64}-1-2^{64}
    =-1
    Giải đáp : A
     

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

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