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

Toán Lớp 8: Rút gọn biểu thức: a) $(3x – 1)^{2}$ + 2( 3x – 1) (2x + 1) + ($2x + 1^{2}$) b) $(2x + 3)^{2}$ – (2x + 5) c) ( $x^{2}$ – 1) ( x + 2)

Toán Lớp 8: Rút gọn biểu thức:
a) $(3x – 1)^{2}$ + 2( 3x – 1) (2x + 1) + ($2x + 1^{2}$)
b) $(2x + 3)^{2}$ – (2x + 5)
c) ( $x^{2}$ – 1) ( x + 2) – (x – 2) . ($x^{2}$ + 2x + 4)

Comments ( 2 )

  1. a) (3x-1)^2+2(3x-1)(2x+1)+(2x+1)^2
    =(3x-1+2x+1)^2
    =(5x)^2
    =25x^2
    Áp dụng: (a+b)^2=a^2+2ab+b^2
    b) (2x+3)^2-(2x+5)
    =4x^2+12x+9-2x-5
    =4x^2+10x+4
    c) (x^2-1)(x+2)-(x-2)(x^2+2x+4)
    =x^3+2x^2-x-2-x^3+8
    =2x^2-x+6

  2. $\\$
    Giải đáp + giải thích các bước giải :
    $a,\\(3x-1)^2+2(3x-1)(2x+1)+(2x+1)^2\\=(3x-1+2x+1)^2\\=(5x)^2\\=25x^2\\b,\\(2x+3)^2-(2x+5)\\=(4x^2  + 12x + 9)-2x-5\\=4x^2+12x+9-2x-5\\=4x^2 +10x+4\\c,\\(x^2-1)(x+2)-(x-2)(x^2+2x+4)\\=(x^3 +2x^2-x-2)-(x^3-8)\\=x^3+2x^2-x-2-x^3+8\\=2x^2-x+6$
     

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