Question

ab x aba = abab

Answer 1

\(ab.aba=abab\Leftrightarrow ababa=abab\Leftrightarrow ababa-abab=0\)

\(\Leftrightarrow abab\left(a-1\right)=0\Leftrightarrow\left\{{}\begin{matrix}abab=0\\a-1=0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=1\\bb=0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=1\\b=0\end{matrix}\right.\)

vậy \(a=1;b=0\)

Answer 2

\(ab.aba=abab\Rightarrow ababa=abab\Rightarrow ababa-abab=0\)

\(\Rightarrow abab\left(a-1\right)=0\Rightarrow\left\{{}\begin{matrix}abab=0\\a-1=0\end{matrix}\right.\left\{{}\begin{matrix}a=1\\b=0\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}a=1\\b=0\end{matrix}\right.\)

Vậy \(a=1;b=0\)