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

Toán Lớp 8: bài 1: Phân tích đa thức thành nhân tử a) x ³ – 2x ² + x b) 5x (x – 2000) – (x – 2000) c) x(x – 2) + x – 2 d) x ³ -1/4x e) 7x – 7y f) 2

Toán Lớp 8: bài 1: Phân tích đa thức thành nhân tử
a) x ³ – 2x ² + x
b) 5x (x – 2000) – (x – 2000)
c) x(x – 2) + x – 2
d) x ³ -1/4x
e) 7x – 7y
f) 2x ² y – 6xy ²
g) 3x(x – 1) + 7x ² (x -1)
h) 3x(x-a)+5a(a-x)

Comments ( 2 )

  1. a) x^3-2x^2+x
    =x(x^2-2x+1)
    =x(x-1)^2
    b) 5x(x-2000)-(x-2000)
    =(x-2000)(5x-1)
    c) x(x-2)+x-2
    =(x-2)(x+1)
    d) x^3-1/4x
    =x(x^2-1/4)
    =x(x-1/2)(x+1/2)
    e) 7x-7y
    =7(x-y)
    f) 2x^2y-6xy^2
    =2xy(x-3y)
    g) 3x(x-1)+7x^2(x-1)
    =(x-1)(3x+7x^2)
    =x(x-1)(3+7x)
    h) 3x(x-a)+5a(a-x)
    =(x-a)(3x-5a)

  2. Giải đáp: + Lời giải và giải thích chi tiết:
     a)
    $x³ – 2x² + x = x(x² – 2x + 1) = x(x-1)²$
    b) 
    $5x (x – 2000) – (x – 2000) = (x-2000)(5x – 1)$
    c)
    $x(x – 2) + x – 2 = x(x-2) + (x-2) = (x-2)(x+1)$
    d)
    $x³ – \dfrac{1}{4}x$
    $= x(x² – \dfrac{1}{4}) = x(x-\dfrac{1}{2})(x+\dfrac{1}{2})$
    e) 
    $7x – 7y = 7(x-y)$
    f)
    $2x²y – 6xy² = 2xy(x – 3y)$
    g)
    $3x(x – 1) + 7x ² (x -1)$
    $= (x-1)x(3+7x)$
    h) 
    $3x(x-a)+5a(a-x)$
    $= 3x(x-a)-5a(x – a)$
    =$ (x – a)(3x – 5a)$

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