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This question already has an answer here:

When is it preferable to use \[ instead of equation*? I find I often use the equation* environment in the following way:

\begin{equation*}
some expression
\end{equation*}

Should I instead be using the \[ as below?

\[
some expression
\]
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marked as duplicate by Werner, Svend Tveskæg, Maarten Dhondt, Papiro, Kurt Mar 2 at 20:58

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

up vote 18 down vote accepted

The final lines in amsmath.sty are

2665 \DeclareRobustCommand{\[}{\begin{equation*}}
2666 \DeclareRobustCommand{\]}{\end{equation*}}
2667 \endinput
2668 %%
2669 %% End of file `amsmath.sty'.

This means that, when you load amsmath, \[...\] is completely equivalent to \begin{equation*}...\end{equation*}.

The latter is better if you use numbered equations, because it's easier to switch from unnumbered to numbered or conversely by removing or adding *.

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