\(\left(x-3\right)^5=\left(x-3\right)^3\)
\(\Leftrightarrow\left(x-3\right)^5-\left(x-3\right)^3=0\)
\(\Leftrightarrow\left(x-3\right)^3\left[\left(x-3\right)^2-1\right]=0\)
\(\Leftrightarrow\left(x-3\right)^3\left(x-3-1\right)\left(x-3+1\right)=0\)
\(\Leftrightarrow\left(x-3\right)^3\left(x-4\right)\left(x-2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=4\\x=2\end{matrix}\right.\)
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