Question

Mọi người gjups

Answer 1

1.

a. \(6x^4-9x^3=3x^3\left(2x-3\right)\)

b. \(x^2y^2z+xy^2z^2+x^2yz^2=xyz\left(xy+yz+xz\right)\)

d. \(2x\left(x+3\right)+2\left(x+3\right)=\left(x+3\right)\left(2x+2\right)=2\left(x+3\right)\left(x+1\right)\)

Answer 2

2b. \(4x\left(x+1\right)=8\left(x+1\right)\Leftrightarrow4x\left(x+1\right)-8\left(x+1\right)=0\Leftrightarrow\left(x+1\right)\left(4x-8\right)=0\Leftrightarrow4\left(x+1\right)\left(x-2\right)=0\Leftrightarrow\left[{}\begin{matrix}x+1=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=2\end{matrix}\right.\)

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2d. \(x\left(x-4\right)+\left(x-4\right)^2=0\Leftrightarrow\left(x-4\right)\left(x+x-4\right)=0\Leftrightarrow2\left(x-4\right)\left(x-2\right)=0\Leftrightarrow\left[{}\begin{matrix}x-4=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=2\end{matrix}\right.\)

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