\(a^3\left(a-1\right)+2\left(a-1\right)=\left(a-1\right)\left(a^3+2\right)=0\)\(\Rightarrow\left[{}\begin{matrix}a-1=0\\a^3+2=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}a=1\\a^3=-2\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}a=1\\\sqrt[3]{-2}\end{matrix}\right.\)
\(a^3\left(a-1\right)+2\left(a-1\right)=0\\ \Leftrightarrow\left(a-1\right)\left(a^3+2\right)=0\\ \Rightarrow\left[{}\begin{matrix}a-1=0\\a^3+2=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}a=1\\a=\sqrt[3]{-2}\end{matrix}\right.\)
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