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

Toán Lớp 8: rút gọn bt sau e,(x+8)(x-8)-x² g,(x+2)³+x(1-x²) h,(x+1/3)³+(1-x)³ i,(4x-1)(16x²+4x+1)-x(4x ²-1) đừng làm tắt hãy giải từng bước

Toán Lớp 8: rút gọn bt sau e,(x+8)(x-8)-x² g,(x+2)³+x(1-x²) h,(x+1/3)³+(1-x)³ i,(4x-1)(16x²+4x+1)-x(4x ²-1) đừng làm tắt hãy giải từng bước

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
    e (x+8)(x-8)-x^2
    =x^2-8^2-x^2
    =x^2-64-x^2
    =-64
    g) (x+2)^3+x(1-x^2)
    =x^3+3*x^2*2+3*x*2^2+2^3+x(1-x^2)
    =x^3+6x^2+12x+8+x-x^3
    =6x^2+13x+8
    h) (x+1/3)^3+(1-x)^3
    =(x+1/3+1-x)[(x+1/3)^2-(x+1/3)(1-x)+(1-x)^2]
    =4/3[x^2+2*x*1/3+(1/3)^2-(x-x^2+1/3-1/3x)+(1-2x+x^2)]
    =4/3(x^2+2/3x+1/9-x+x^2-1/3+1/3x+1-2x+x^2)
    =4/3[(x^2+x^2+x^2)+(2/3x-x+1/3x-2x)+(1/9-1/3+1)]
    =4/3(3x^2-2x+7/9)
    =4x^2-8/3x+28/27
    i) (4x-1)(16x^2+4x+1)-x(4x^2-1)
    =(4x-1)[(4x)^2+4x*1+1^2]-4x^3+x
    =(4x)^3-1^3-4x^3+x
    =64x^3-1-4x^3+x
    =60x^3+x-1.
     

  2. e)
    (x + 8)(x – 8) – x^2
    = x^2 – 64 – x^2
    =- 64
    g)
    (x + 2)^3 + x(1 – x^2)
    = x^2 + 6x^2 + 12x + 8 + x – x^3
    = 6x^2 + 13x + 8
    h)
    (x + 1/3)^3 + (1 – x)^3
    = (x + 1/3 + 1 – x)[(x + 1/3)^2 – (x + 1/3)(1 – x) + (1 – x)^2]
    = 4/3(x^2 + 2/3x + 1/9 – x + x^2 – 1/3 + 1/3x + 1 – 2x + x^2)
    = 4/3(3x^2 – 2x + 7/9)
    = 4x^2 – 8/3x + 28/27
    i)
    (4x – 1)(16x^2 + 4x + 1) – x(4x^2 – 1)
    = (4x)^3 – 1^3 – 4x^3 + x
    = 64x^3 – 1 – 4x^3 + x
    = 60x^3 + x – 1

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

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