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

Toán Lớp 8: Rút gọn: (x+2)³ + (x- 2)³ + x³ – 3x.(x+2).(x-2)

Toán Lớp 8: Rút gọn:
(x+2)³ + (x- 2)³ + x³ – 3x.(x+2).(x-2)

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết !
    to Rút gọn:
    (x+2)^3+(x-2)^3+x^3-3x(x+2)(x-2)
    = (x^3+6x^2+12x+8)+(x^3-6x^2+12x-8)+x^3-3x(x^2-4)
    = x^3+6x^2+12x+8+x^3-6x^2+12x-8+x^3-3x^3+12x
    = (x^3+x^3+x^3-3x^3)+(6x^2-6x^2)+(12x+12x+12x)+(8-8)
    = 36x
    Áp dụng:
    +) (a+b)^3 = a^3+3a^2b+3ab^2+b^3
    +) (a-b)^3 = a^3-3a^2b+3ab^2+b^3
    +) a^2-b^2 = (a-b)(a+b)
     

  2. $= x^3 + 6x^2 +12x + 8 +x^3 -6x^2 + 12x – 8 +x^3 – 3x(x^2 -4)$
    $= x^3 + 12x +x^3 + 12x + x^3 -3x^3 +12x$
    $= 36x$

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

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