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

Toán Lớp 8: a^2x^3-8a^2y^6 4x^3y^2-x^3-4y^2+1 3x^2-x-2

Toán Lớp 8: a^2x^3-8a^2y^6
4x^3y^2-x^3-4y^2+1
3x^2-x-2

Comments ( 2 )

  1. Lời giải và giải thích chi tiết:
    a^2x^3-8a^2y^6
    =a^2(x^3-8y^6)
    =a^2[x^3-(2y^2)^3]
    =a^2(x-2y^2)(x^2+2xy^2+4y^4)
    4x^3y^2-x^3-4y^2+1
    =(4x^3y^2-4y^2)-(x^3-1)
    =4y^2(x^3-1)-(x^3-1)
    =(x^3-1)(4y^2-1)
    =(x-1)(x^2+x+1)(2y-1)(2y+1)
    3x^2-x-2
    =3x^2+2x-3x-2
    =x(3x+2)-(3x+2)
    =(x-1)(3x+2)

  2. Lời giải và giải thích chi tiết:
    a2x3-8a2y6
    =a2(x3-8y6)
    =a2[x3-(2y2)3]
    =a2(x-2y2)(x2+2xy2+4y4)
    4x3y2-x3-4y2+1
    =(4x3y2-4y2)-(x3-1)
    =4y2(x3-1)-(x3-1)
    =(x3-1)(4y2-1)
    =(x-1)(x2+x+1)(2y-1)(2y+1)
    3×2-x-2
    =3×2+2x-3x-2
    =x(3x+2)-(3x+2)

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