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

Toán Lớp 8: A=(x+2)(x^2-2x+4) – (x+1)(x-1)^2 a ) Rút gọn A b) tìm x để a – 13=0

Toán Lớp 8: A=(x+2)(x^2-2x+4) – (x+1)(x-1)^2
a ) Rút gọn A
b) tìm x để a – 13=0

Comments ( 2 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
    a) A=(x+2)(x²-2x+4)-(x+1)(x-1)²
    = x³+8-(x²-1)(x-1)
    =x³+8-(x³-x²-x+1)
    =x²+x+7
    b) A-13=0 ⇔ x²+x-6=0
    ⇔ (x+3)(x-2)=0
    ⇔ x=-3;x=2

  2. $\\a,\\A=(x+2)(x^2-2x+4)-(x+1)(x-1)^2\\=x^3+8 – (x+1)(x^2-2x+1)\\=x^3 + 8 – (x^3 – 2x^2+x+x^2-2x+1)\\=x^3+8 – x^3+x^2 + x-1\\=x^2 + x +7$
    Vậy $A=x^2+x+7$
    $b,\\A-13=0\\⇔ x^2+x+7-13=0\\⇔ x^2+x-6=0\\⇔ x^2-2x+3x-6=0\\⇔x(x-2)+3(x-2)=0\\⇔ (x-2)(x+3)=0\\⇔\left[ \begin{array}{l}x-2=0\\x+3=0\end{array} \right.\\⇔\left[ \begin{array}{l}x=2\\x=-3\end{array} \right.$
    Vậy $x=2,x=-3$ để $A-13=0$

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

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