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

Toán Lớp 8: 47^3+9.47^2+27.47+27 99^3 1001^3 91^3+3.91^2.9+3.91.9^2+9^3 52^3 48^3+6.48^2+144-9

Toán Lớp 8: 47^3+9.47^2+27.47+27
99^3
1001^3
91^3+3.91^2.9+3.91.9^2+9^3
52^3
48^3+6.48^2+144-9

Comments ( 2 )

  1. $47^3+9.47^2+27.47+27$
    $=47^3+3.47^2.3+3.47.3^2+3^3$
    $=(47+3)^3$
    $=50^3$
    $=125000$
    $99^3$
    $=(100-1)^3$
    $=1000000-30000+300-1$
    $=970299$
    $1001^3$
    $=(1000+1)^3$
    $=1000000000+3000000+3000+1$
    $=1003003001$
    $91^3+3.91^2.9+3.91.9^2+9^3$
    $=(91+9)^3$
    $=100^3$
    $=1000000$
    $52^3$
    $=(50-2)^3$
    $=125000-15000+600-8$
    $=110592$
    $48^3+6.48^2+144-9$
    $=48^3+3.48^2.2+3.48.2^2+2^3-432-17$
    $=(48+2)^3-432-17$
    $=125000-432-17$
    $=124551$

  2. a)47^3+9.47^2+27.47+27
    =47^3+3. 47^2 . 3+3 . 47 . 3 + 3^3
    =(47+3)^3
    =50^3=125000
    b)99^3=(100-1)^3
    =100^3-3.100^2 . 1+3.100.1^2-1^3
    =100000-3.10000+300-1
    =970299
    c) 1001^3=(1000+1)^3
    =1000^3+3.1000^2 . 1+3.1000.1^2+1^3
    =1 000 000 000+3 000 000+3000+1
    =1003003001
    d) 91^3+3.91^2 . 9+3.91.9^2+9^3
    =(91+9)^3
    =100^3=1 000 000
    e) 52^3=(50+2)^3
    =50^3+3.50^2 . 2+3.50.2^2+2^3
    =125000+3.2500.2+3.50.4+8
    =125000+15 000+600+8
    =140608
    f) 48^3+6.48^2+144-9
    =48^3+3.48^2 . 2+576-441
    =(48^3+3.48^2 . 2+3.48.2^2+2^3)-449
    =(48+2)^3-449
    =50^3-449
    =125000-449=124551

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

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