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

Toán Lớp 8: Giúp mk với ạ (6x^3 +13x^2 +4x -3) :(2x+3)

Toán Lớp 8: Giúp mk với ạ
(6x^3 +13x^2 +4x -3) :(2x+3)

Comments ( 2 )

  1. Ta có
    6x³+13x²+4x-3
    =6x³+9x²+4x²+6x-2x-3
    =3x²(2x+3)+2x(2x+3)-(2x+3)
    =(2x+3)(3x²+2x-1)
    =>$\dfrac{6x³+13x²+4x-3}{2x+3}$ 
    =$\dfrac{(2x+3)(3x²+2x-1)}{2x+3}$ 
    = 3x²+2x-1

  2. (6x^3+13x^2+4x-3):(2x+3)
    =(6x^3+6x^2+7x^2+7x-3x-3):(2x+3)
    =[6x^2(x+1)+7x(x+1)-3(x+1)]:(2x+3)
    =[(x+1)(6x^2+7x-3)]:(2x+3)
    =[(x+1)(6x^2+9x-2x-3)]:(2x+3)
    =[(x+1)(2x+3)(3x-1)]:(2x+3)
    =(x+1)(3x-1)
    =3x^2+2x-1
     

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