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

Toán Lớp 8: Bài 1: phân tích đa thứ thành nhân tử a) ( x – 12 )(x + 7 ) – 2x + 14 b) x2 – 6x + 8 c) 9×2 + 9xy – ( x + y ) d) ( x2 – 2xy + y2 ) –

Toán Lớp 8: Bài 1: phân tích đa thứ thành nhân tử
a) ( x – 12 )(x + 7 ) – 2x + 14
b) x2 – 6x + 8
c) 9×2 + 9xy – ( x + y )
d) ( x2 – 2xy + y2 ) – 81
e) ( x + 4 )2 – 15 ( 4 – x)
Bài 2:
a) 2x (x – 2019 ) – x + 2019 = 0
b) x^3 – 25x = 0
c) ( x + 2 )^2 – 4 ( x + 2 ) = 0

Comments ( 2 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
    1)
    a)
    (x-12)(x+7)+2x+14
    =(x-12)(x+7)+(2x+14)
    =(x-12)(x+7)+2(x+7)
    =(x-12)(x+7)+2(x+7)
    =(x+7)(x-12+2)
    =(x+7)(x-10)
    b)
    $x^2$-6x+8
    =($x^2$-2x)-(4x-8)
    =x(x-2)-4(x-2)
    =(x-2)(x-4)
    c)
    $9x^2$+9xy-(x+y)
    =9x(x+y)-(x+y)
    =(x+y)(9x-1)
    d)
    ($x^2$-2xy+$y^2$)-81
    =$(x-y)^2$-$9^2$
    =(x-y-9)(x-y+9)
    e)
    $(x+4)^2$-15(4+x)
    =$(x+4)^2$-15(x+4)
    =(x+4)(x+4-15)
    =(x+4)(x-11)
    2)
    a)
    2x(x-2019)-x+2019=0
    ⇔2x(x-2019)-(x-2019)=0
    ⇔(x-2019)(2x-1)=0
    ⇔\(\left[ \begin{array}{l}x-2019=0\\2x-1=0\end{array} \right.\) 
    ⇔\(\left[ \begin{array}{l}x=2019\\x=\frac{1}{2}\end{array} \right.\) 
    Vậy S={2019,(1)/(2)}
    b)
    $x^3$-25x=0
    ⇔x($x^2$-25)=0
    ⇔\(\left[ \begin{array}{l}x=0\\x^2-25=0\end{array} \right.\) 
    ⇔\(\left[ \begin{array}{l}x=0\\x=±5\end{array} \right.\) 
    Vậy S={0,±5}
    c)
    $(x+2)^2$-4(x+2)=0
    ⇔(x+2)(x+2-4)=0
    ⇔(x+2)(x-2)=0
    ⇔\(\left[ \begin{array}{l}x+2=0\\x-2=0\end{array} \right.\) 
    ⇔\(\left[ \begin{array}{l}x=-2\\x=2\end{array} \right.\) 
    Vậy S={2,-2}

  2. Bài 1:
    a) Sửa đề:(x-12)(x+7)-2x+14
    →(x-12)(x+7)-2x-14
    (x-12)(x+7)-2x-14
    =(x-12)(x+7)-2(x+7)
    =(x+7)(x-12-2)
    =(x+7)(x-14)
    Hoặc:Sửa đề:(x-12)(x+7)-2x+14
    →(x-12)(x+7)+2x+14
    (x-12)(x+7)+2x+14
    =(x-12)(x+7)+2(x+7)
    =(x+7)(x-12+2)
    =(x+7)(x-10)
    b)x²-6x+8
    =x²-2x-4x+8
    =x(x-2)-4(x-2)
    =(x-2)(x-4)
    c)9x²+9xy-(x+y)
    =9x(x+y)-(x+y)
    =(x+y)(9x-1)
    d)(x²-2xy+y²)-81
    =(x-y)²-9²
    =(x-y+9)(x-y-9)
    e)Sửa đề:(x+4)²-15(4-x)
    →(x-4)²-15(4-x)
    (x-4)²-15(4-x)
    =(x-4)²+15(x-4)
    =(x-4)(x-4+15)
    =(x-4)(x+11)
    Hoặc:Sửa đề:(x+4)²-15(4-x)
    →(x+4)²-15(4+x)
    (x+4)²-15(4+x)
    =(x+4)²-15(x+4)
    =(x+4)(x+4-15)
    =(x+4)(x-11)
    Bài 2:
    a)2x(x-2019)-x+2019=0
    ⇔2x(x-2019)-(x-2019)=0
    ⇔(x-2019)(2x-1)=0
    ⇔\(\left[ \begin{array}{l}x-2019=0\\2x-1=0\end{array} \right.\)
    ⇔\(\left[ \begin{array}{l}x=2019\\x=\dfrac{1}{2}\end{array} \right.\)
    Vậy x=2019 hoặc x=1/2
    b)x³-25x=0
    ⇔x(x²-25)=0
    ⇔x(x²-5²)=0
    ⇔x(x+5)(x-5)=0
    ⇔\(\left[ \begin{array}{l}x=0\\x+5=0\\x-5=0\end{array} \right.\)
    ⇔\(\left[ \begin{array}{l}x=0\\x=-5\\x=5\end{array} \right.\)
    Vậy x=0 hoặc x=-5 hoặc x=5
    c)(x+2)²-4(x+2)=0
    ⇔(x+2)(x+2-4)=0
    ⇔(x+2)(x-2)=0
    \(\left[ \begin{array}{l}x+2=0\\x-2=0\end{array} \right.\)
    ⇔\(\left[ \begin{array}{l}x=-2\\x=2\end{array} \right.\)
    Vậy x=-2 hoặc x=2

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

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