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1.
\(\left(12x^2+6x\right)\left(y+z\right)+\left(12x^2+6x\right)\left(y-z\right)\\ =\left(12x^2+6x\right)\left(y+z+y-z\right)\\ =2y\left(12x^2+6x\right)\\ =2y.6x\left(2x+1\right)\\ =12xy\left(2x+1\right)\)
2.
\(x\left(x-6\right)+10\left(x-6\right)=0\\ \Leftrightarrow\left(x-6\right)\left(x+10\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=6\\x=-10\end{matrix}\right.\)
Vậy \(x\in\left\{6;-10\right\}\) là nghiệm của pt
Bài 1:
Ta có: \(\left(12x^2+6x\right)\left(y+z\right)+\left(12x^2+6x\right)\left(y-z\right)\)
\(=\left(12x^2+6x\right)\left(y+z+y-z\right)\)
\(=6x\left(2x+1\right)\cdot2y\)
\(=12xy\left(2x+1\right)\)
Bài 2:
Ta có: \(x\left(x-6\right)+10\left(x-6\right)=0\)
\(\Leftrightarrow\left(x-6\right)\left(x+10\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=6\\x=-10\end{matrix}\right.\)
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\(=-12x^2\left(y-x\right)+18x^3\left(y-x\right)\)
\(=-6x^2\left(y-x\right)\left(2-3x\right)\)
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\(3x^3+3x^2-3x-9=3\left(x^3+x^2-x-3\right)\)
Check lại đề hộ mình nhé:vv
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Câu 1:
a) 2x(3x+2) - 3x(2x+3) = 6x^2+4x - 6x^2-9x = -5x
b) \(\left(x+2\right)^3+\left(x-3\right)^2-x^2\left(x+5\right)\)
\(=x^3+6x^2+12x+8+x^2-6x+9-x^3-5x^2\)
\(=2x^2+6x+17\)
c) \(\left(3x^3-4x^2+6x\right)\div\left(3x\right)=x^2-\dfrac{4}{3}x+2\)
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Ta có `:`
`x^3 - 7x-6`
`= x^3 - 9x + 2x - 6`
`= x( x^2 - 9 ) + 2( x-3 )`
`= x( x-3 )( x + 3 ) + 2( x-3 )`
`= [ x( x + 3 )+2]( x-3 )`
`= ( x^2 + 3x + 2 )( x-3 )`
`= ( x^2 + 2x + x + 2 )( x-3 )`
`= [x( x+2 ) + ( x + 2 )]( x-3 )`
`= ( x+1)(x+2)(x-3)`
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THAM KHẢO NHÉ BẠN, MÌNH KO VT ĐC TRONG NÀY NÊN PHẢI RA WORD VÍT R COPY VÀO Á:
vậy
`#040911`
`7x^2 - 13x + 6`
`= 7x^2 - 7x - 6x + 6`
`= (7x^2 - 7x) - (6x - 6)`
`= 7x(x - 1) - 6(x - 1)`
`= (7x - 6)(x - 1)`
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a) ( x 2 – 4x + 1)( x 2 – 2x + 3).
b) ( x 2 + 5x – 1)( x 2 + x – 1).
\(=\left(2x^4+6x^3\right)-\left(3x^3+9x^2\right)-\left(3x^2-9x\right)+\left(2x+6\right)\)
\(=\left(x+3\right)\left(2x^3-3x^2-3x+2\right)=\left(x+3\right)\left(2x^3-4x^2+x^2-2x-x+2\right)\)
\(=\left(x+3\right)\left(x-2\right)\left(2x^2+x-1\right)=\left(x+3\right)\left(x-2\right)\left(2x^2+2x-x-1\right)\)
\(\left(x+3\right)\left(x-2\right)\left(x+1\right)\left(2x-1\right)\)
-Sang h bạn sẽ có kết quả nhanh hơn