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

Toán Lớp 8: Tính $a)$ $(3x-2y)^{2}$ $b)$ $(2x-\frac{1}{2})^{3}$ $c)$ $(x+3)$ $.$ $(x^{2}-3x+9)$

Toán Lớp 8: Tính
$a)$ $(3x-2y)^{2}$
$b)$ $(2x-\frac{1}{2})^{3}$
$c)$ $(x+3)$ $.$ $(x^{2}-3x+9)$

Comments ( 2 )

  1. #tnvt
    a)(3x-2y)^2
    =9x^2-12xy+4y^2
    b)(2x-1/2)^3
    =(2x)^3-3.(2x)^2 .1/2+3.2x.(1/2)^2-(1/2)^3
    =8x^3-6x^2+3/2x-1/8
    c)(x+3)(x^2-3x+9)
    =x^3+27
    Áp dụng HĐT: (a-b)^2=a^2-2ab+b^2
                             (a-b)^3=a^3-3a^2b+3ab^2-b^3
                              (a+b)(a^2-ab+b^2)=a^3+b^3
     

  2. $\\$
    a,
    (3x-2y)^2
    = (3x)^2 – 2 . 3x . 2y + (2y)^2
    = 9x^2 – 12xy + 4y^2
    $\\$
    b,
    (2x-1/2)^3
    = (2x)^3 – 3.  (2x)^2 . 1/2 + 3 . 2x . (1/2)^2 – (1/2)^3
    = 8x^3 – 3 . 4x^2 . 1/2 + 3 . 2x . 1/4 – 1/8
    = 8x^3 – 6x^2 + 3/2 x – 1/8
    $\\$
    c,
    (x+3)(x^2 – 3x + 9)
    = (x+3)(x^2 – 3 x +3^2)
    = x^3 +3^3
    =x^3 + 27
     

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

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