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

Toán Lớp 8: ( x – 2y ) mũ 3 – ( x + 2y ) ( x mũ 2 – 2xy + 4y mũ 2 ) + 6x mũ 2 y gấp ạ

Toán Lớp 8: ( x – 2y ) mũ 3 – ( x + 2y ) ( x mũ 2 – 2xy + 4y mũ 2 ) + 6x mũ 2 y
gấp ạ

Comments ( 2 )

  1. (x-2y)^3-(x+2y)(x^2-2xy+4y^2)+6x^2y
    =x^3-3.x^{2}.2y+3.x.(2y)^2-(2y)^3-(x^3+8y^3)+6x^2y
    =x^3-6x^2y+12xy^2-8y^3-x^3-8y^3+6x^2y
    =(x^3-x^3)+(6x^2y-6x^2y)+12xy^2-8y^3-8y^3
    =-16y^3+12xy^2
    * (a-b)^3=a^3-3a^2b+3ab^2-b^3
    * a^3-b^3=(a-b)(a^2+ab+b^2)
     

  2. Giải đáp:
    $\displaystyle 12xy^{2} -16y^{3}$
    Lời giải và giải thích chi tiết:
    $\displaystyle \begin{array}{{>{\displaystyle}l}} ( x-2y)^{3} -( x+2y)\left( x^{2} -2xy+4y^{2}\right) +6x^{2} y\\ =x^{3} -6x^{2} y+12xy^{2} -8y^{3} -\left( x^{3} -2x^{2} y+4xy^{2} +2x^{2} y-4xy^{2} +8y^{3}\right) +6x^{2} y\\ =12xy^{2} -16y^{3} \end{array}$

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