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

Toán Lớp 8: Tính nhanh: 1) (2 ² + 4 ²+ 6 ²+ … + 100 ²) – (1 ²+ 3 ²+ 5 ²+ … + 99 ²) 2) 45 ²- 31 ²+ 86. 76 3) (2+ 1)(2 ²+ 1)(2^4+ 1)(2^8+ 1)(2^16

Toán Lớp 8: Tính nhanh:
1) (2 ² + 4 ²+ 6 ²+ … + 100 ²) – (1 ²+ 3 ²+ 5 ²+ … + 99 ²)
2) 45 ²- 31 ²+ 86. 76
3) (2+ 1)(2 ²+ 1)(2^4+ 1)(2^8+ 1)(2^16+ 1)- 2^32
Help mik với các bn ơi!!!

Comments ( 1 )

  1. 1) (2 ² + 4 ²+ 6 ²+ … + 100 ²) – (1 ²+ 3 ²+ 5 ²+ … + 99 ²)
    =2^2-1^2+4^2-3^2+6^2-5^2+….+100^2-99^2
    =(2-1)(2+1)+(4-3)(4+3)+(6-5)(6+5)+…..+(100-99)(100+99)
    =3+7+11+…+199
    =((199+3).50)/2
    =101.50=5050
    45 ²- 31 ²+ 86. 76
    =(45-31)(45+31)+86.76
    =86.24+86.76
    =86.(76+24)
    =86.100=8600
    3) (2+ 1)(2 ²+ 1)(2^4+ 1)(2^8+ 1)(2^16+ 1)- 2^32
    =1.(2+ 1)(2 ²+ 1)(2^4+ 1)(2^8+ 1)(2^16+ 1)- 2^32
    =(2-1)(2+ 1)(2 ²+ 1)(2^4+ 1)(2^8+ 1)(2^16+ 1)- 2^32
    =(2^2-1)(2 ²+ 1)(2^4+ 1)(2^8+ 1)(2^16+ 1)- 2^32
    =(2^4-1)(2^4+ 1)(2^8+ 1)(2^16+ 1)- 2^32
    =(2^8-1)(2^8+ 1)(2^16+ 1)- 2^32
    =(2^16-1)(2^16+1)-2^32
    =2^32-1-2^32=-1

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