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

Toán Lớp 8: Tính nhanh $1^{2}$ -$2^{2}$ +$3^{2}$ -$4^{2}$ +–$2020^{2}$ +$2021^{2}$

Toán Lớp 8: Tính nhanh
$1^{2}$ -$2^{2}$ +$3^{2}$ -$4^{2}$ +….-$2020^{2}$ +$2021^{2}$

Comments ( 1 )

  1. 1^2-2^2+3^2-4^2+…-2020^2+2021^2
    = 1+(2021^2-2020^2)+…+(5^2-4^2)+(3^2-2^2)
    = (2021-2020).(2021+2020)+…+(5-4)(5+4)+(3-2)(3+2)+1
    = (2021+2020)+…+(5+4)+(3+2)+1
    = 2021+2020+…+5+4+3+2+1
    = (2021+1).2021:2
    = 2043231

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