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

Toán Lớp 8: 1) (2x – 1 ) ^2 2) ( x + 2 ) ^2 3) ( x – 1) ( x + 2 ) = 4) 4x^2 + 12x + 9 =

Toán Lớp 8: 1) (2x – 1 ) ^2
2) ( x + 2 ) ^2
3) ( x – 1) ( x + 2 ) =
4) 4x^2 + 12x + 9 =

Comments ( 2 )

  1. Giải đáp:
     $1) (2x-1)²$
    $= (2x)²-2.2x.1+1²$
    $= 4x²-4x+1$
    $\text{⇒ Áp dụng HĐT số 2 :(A-B)²=A²-2AB+B²}$
     $2) (x+2)²$
    $= x²+2.x.2+2²$
    $= x²+4x+4$
    $\text{⇒ Áp dụng HĐT số 1: (A+B)²=A²+2AB+B²}$
    $3) (x-1).(x+2)$
    $= x.(x+2)-1.(x+2)$
    $= x²+2x-x-2$
    $= x²+x-2$
    $\text{⇒ Áp dụng Tổng quát: (A+B).(C+D)= AC+AB+BC+BD}$
    $4) 4x²+12x+9$
    $= (2x)²+2.2x.3+3²$
    $= (2x+3)²$
    $\text{⇒ Áp dụng HĐT số 2: (A+B)²=A²+2AB+B²}$

  2. Giải đáp + giải thích các bước giải:
    1, (2x – 1)^2
    = (2x)^2 – 2 . 2x . 1 + 1^2
    = 4x^2 – 4x + 1
    HĐT (a  – b)^2 = a^2 – 2ab + b^2
    2, (x + 2)^2
    = x^2 + 2 . x . 2 + 2^2
    = x^2 + 4x + 4
    HĐT (a + b)^2 = a^2 + 2ab + b^2
    3, (x – 1)(x + 2)
    = x . x + 2 . x – 1 . x – 1 . 2
    = x^2 + 2x – x – 2
    = x^2  + x – 2
    4, 4x^2 + 12x + 9
    = (2x)^2 + 2 . 2x . 3 + 3^2
    = (2x + 3)^2
    HĐT a^2 + 2ab + b^2 = (a + b)^2
     

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