To simplify the expression \((3 + 2) \times 9 \times (3 + 2) \times 9\), we can first simplify inside the parentheses:

\[
3 + 2 = 5
\]

Now we can substitute \(5\) back into the expression:

\[
(5) \times 9 \times (5) \times 9
\]

This can be written as:

\[
5 \times 9 \times 5 \times 9
\]

Now, rearranging the factors:

\[
(5 \times 5) \times (9 \times 9)
\]

Calculating each part:

\[
5 \times 5 = 25
\]
\[
9 \times 9 = 81
\]

Now, multiply these results:

\[
25 \times 81
\]

To find \(25 \times 81\), we can break it down:

\[
25 \times 81 = 25 \times (80 + 1) = 25 \times 80 + 25 \times 1 = 2000 + 25 = 2025
\]

Thus, the simplified result of the expression \((3 + 2) \times 9 \times (3 + 2) \times 9\) is:

\[
\boxed{2025}
\]