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

Toán Lớp 8: B1. Phân tích đa thức thành nhân tử : a. ( x^2 +1)^2 – 4x^2 b. 5x ( x-2y ) + 2 ( 2y -x)^2 B2. tim x a. ( 3x +1)^2 = 9x^2 -1 b. x^3

Toán Lớp 8: B1. Phân tích đa thức thành nhân tử :
a. ( x^2 +1)^2 – 4x^2
b. 5x ( x-2y ) + 2 ( 2y -x)^2
B2. tim x
a. ( 3x +1)^2 = 9x^2 -1
b. x^3 – 6x^2 +12x-8 = 0
c. ( x^3-27 ) – ( 3-x) ( 6x+9 ) =0

Comments ( 1 )

  1. Bài 1
    a)
    (x^2 + 1)^2 – 4x^2
    = (x^2 + 1)^2 – (2x)^2
    = [(x^2 + 1) – 2x][(x^2 + 1) + 2x]
    = (x^2 + 1 – 2x)(x^2 + 1 + 2x)
    = (x^2 – 2x + 1)(x^2 + 2x + 1)
    = (x – 1)^2 (x + 1)^2
    b)
    5x(x – 2y) + 2(2y – x)^2
    = 5x(x – 2y) + 2(x – 2y)^2
    = (x – 2y)[5x + 2(x – 2y)]
    = (x – 2y)(5x + 2x + 4y)
    = (x – 2y)(7x + 4y)
    Bài 2
    a)
    (3x + 1)^2 = 9x^2 – 1
    (3x + 1)^2 – (9x^2 – 1)=0
    (3x + 1)^2 -[(3x)^2 – 1^2] = 0
    (3x + 1)^2 – (3x – 1)(3x + 1) = 0
    (3x + 1)[(3x + 1) – (3x – 1)] = 0
    (3x + 1)(3x + 1 – 3x + 1) = 0
    (3x + 1) . 2 = 0
    => 3x + 1 = 0
    => x = -1/3
    Vậy x = -1/3
    b)
    x^3 – 6x^2 + 12x – 8  = 0
    x^3 – 3.x^2 . 2 + 3.x.2^2 – 2^3 = 0
    (x – 2)^3 = 0
    => x – 2 = 0
    => x = 2
    Vậy x = 2
    c)
    (x^3 – 27) – (3 – x)(6x + 9) = 0
    (x^3 – 3^3) + (x – 3)(6x + 9) = 0
    (x – 3)(x^2 + 3x + 9)  + (x – 3)(6x + 9) = 0
    (x – 3)[(x^2 + 3x + 9)+ (6x + 9)] = 0
    (x – 3)(x^2 + 3x + 9 + 6x + 9) = 0
    (x – 3)(x^2 + 9x + 18) = 0 
    (x – 3)(x^2 + 6x + 3x + 18) = 0
    (x – 3)[(x^2 + 6x) + (3x + 18)]   0
    (x – 3)[x(x + 6) + 3(x + 6)] = 0
    (x – 3)(x + 6)(x + 3) = 0
    => x – 3 = 0 hoặc x + 3 = 0 hoặc x + 6 = 0
    => x = 3 hoặc x = -3 hoặc x = -6
    Vậy x = 3 hoặc x = -3 hoặc x = -6
    #SunHee

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

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