Answer
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Step 1:I'll solve this algebraic expansion problem step by step, following the LaTeX formatting guidelines precisely.
Step 2:: Identify the factors
- Third factor: $$3x + 2
We have three factors to multiply:
Step 3:: First multiply the first two factors
\begin{align}
(x + 3)(x - 3) &= x^{2} - 3x + 3x - 9 \ &= x^{2} - 9 \end{align}
Step 4:: Multiply the result from Step 2 by the third factor
\begin{align}
(x^{2} - 9)(3x + 2) &= 3x^{3} + 2x^{2} - 27x - 18 \end{align}
Step 5:: Simplify the final expression
The expression is already in its simplest form.
Final Answer
3x^{3} + 2x^{2} - 27x - 18
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