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

Toán Lớp 8: Phân tích đa thức thành nhân tử: a. 8x^3-y^3-6xy.(2x-y) b. (3x+2)^2-2(x-1)(3x+2)+(x-1)^2

Toán Lớp 8: Phân tích đa thức thành nhân tử:
a. 8x^3-y^3-6xy.(2x-y)
b. (3x+2)^2-2(x-1)(3x+2)+(x-1)^2

Comments ( 2 )

  1. Giải đáp:
     a, 8x^3 – y^3 – 6xy(2x – y)
    = (2x)^3 – y^3 – 6xy(2x – y)
    = (2x – y)(4x^2 + 2xy + y^2) – 6xy(2x – y)
    = (2x – y)(4x^2 + 2xy – 6xy + y^2)
    = (2x – y)(4x^2 – 4xy + y^2)
    = (2x – y)[(2x)^2 – 2.2x.y + y^2]
    = (2x – y)(2x – y)^2
    = (2x – y)^3
    C2: a, 8x^3 – y^3 – 6xy(2x – y)
    = 8x^3  – 12x^2 y + 6xy^2 – y^3
    = (2x)^2 – 3.(2x)^2 .y + 3.2x.y^2 – y^3
    = (2x – y)^3
    b, (3x + 2)^2 – 2.(x -1)(3x + 2) + (x – 1)^2
    = [(3x + 2) – (x – 1)]^2
    = (3x + 2 – x + 1)^2
    = (2x + 3)^2

  2. text{Giải đáp:}
    a. 8x^3-y^3-6xy(2x-y)
    = 8x^3-12x^2y+6xy^2-y^3
    = (2x-y)^3
    b. (3x+2)^2-2(x-1)(3x+2)+(x-1)^2
    = (3x+2-x+1)^2
    = (2x+3)^2
    text{~ Học Tốt Nha ~}

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

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