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

Toán Lớp 8: Cho A = 123456 . 123457 – 123455 . 123458 B = 987654 . 987655 – 987653 . 987656 CM A = B

Toán Lớp 8: Cho
A = 123456 . 123457 – 123455 . 123458
B = 987654 . 987655 – 987653 . 987656
CM A = B

Comments ( 2 )

  1. Ta cho :
    a = 123456 ; b = 987654
    A=a(a+1)-(a-1)(a+2)
    = (a^2+a)-(a^2+2a-a-2)
    = a^2+a-a^2-2a+a+2=2
    B = b(b+1)-(b-1)(b+2)=2
    => A = B = 2 (đpcm)

  2. Lời giải và giải thích chi tiết:
    A = 123456 . 123457 – 123455 . 123458
    A = 123456.(123456 + 1) – (123456 – 1)(123456 + 2)
    A = 123456² + 123456 – 123456 ² – 123456 . 2 + 123456  + 2
    A  = (123456² –  123456²) + (- 123456 . 2 + 123456  + 1256) + 2 
    A = 0 + 0 + 2 
    A = 2
    B = 987654 . 987655 – 987653 . 987656
    B = 987654 . (987654 + 1) – (987654 – 1) . (987654 + 2)
    B = 987654² + 987654 – 987654² – 987654 . 2 + 987654 + 2
    B = (987654² – 987654²) + ( 987654 –  987654 . 2 + 987654) + 2
    B = 0 + 0 + 2
    B = 2
    Vậy A = B = 2
    Chúc bạn học tốt nhé

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

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