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

Toán Lớp 8: a,x^3 + 6*x^2 +12*x+8 helpppp b,x^3 -3*x^2 +3*x-1 c,1-9x+27x^2-27x^3 d,x^3+3/2x^2+3/4x+1/8 e,27x^3-54x^2 *y +36xy^2-8y^3

Toán Lớp 8: a,x^3 + 6*x^2 +12*x+8 helpppp
b,x^3 -3*x^2 +3*x-1
c,1-9x+27x^2-27x^3
d,x^3+3/2x^2+3/4x+1/8
e,27x^3-54x^2 *y +36xy^2-8y^3

Comments ( 2 )

  1. Giải đáp:
    a. x^3+6x^2+12x+8
    = x^3+3xxx^3 xx2+3xx x xx2^2+2^3
    = (x+2)^3
    b. x^3-3x^2+3x-1
    = x^3-3xx x^2 xx1+3xx x xx1^2-1^3
    = (x-1)^3
    c. 1-9x+27x^2-27x^3
    = 1^3-3xx1^2 xx3x+3xx1xx(3x)^2-(3x)^3
    = (1-3x)^3
    d. x^3+3/2x^2+3/4x+1/8
    = x^3+3xx x^2 xx1/2+3xx x xx(1/2)^2+(1/2)^3
    = (x+1/2)^3
    e. 27x^3-54x^2y+36xy^2-8y^3
    = (3x)^3-3xx (3x)^2 xx2y+3xx 3x xx(2y)^2-(2y)^3
    = (3x-2y)^2

  2. Giải đáp+Lời giải và giải thích chi tiết:
     a) x³ + 6x² + 12x + 8
    = x³ + 3 . x² . 2 + 3 . x . 2² + 2³
    = (x + 2)³
    b) x³ – 3x² + 3x – 1
    = x³ – 3 . x² . 1 + 3 . x . 1² – 1³
    = (x – 1)³
    c) 1 – 9x + 27x² – 27x³
    = 1³ – 3 . 1² . 3x + 3 . 1 . 9x² – (3x)³
    = (1 – 3x)³
    d) x³ + \frac{3}{2}x² + \frac{3}{4}x + \frac{1}{8}
    = x³ + 3 . x² . \frac{1}{2} + 3 . x . \frac{1}{4} + (\frac{1}{2})³
    = (x +\frac{1}{2})³
    e) 27x³ – 54x²y + 36xy² – 8y³
    = (3x)³ – 3 . 9x² . 2y + 3 . 3x . 4y² – (2x)³
    = (3x – 2x)³
    HĐT số 4 : (A + B)³ = A³ + 3A²B + 3AB² + B³
    HĐT số 5 : (A – B)³ = A³ – 3A²B + 3AB² + B³

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

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