Factorize: `x^3-8y^3+27 z^3+18 x y z`

Explanation

To factorize the expression \( x^3 - 8y^3 + 27z^3 + 18xyz \), we can follow these steps:

### Step 1: Identify the terms
We start with the expression:
\[ x^3 - 8y^3 + 27z^3 + 18xyz \]
Notice that \( -8y^3 \) can be rewritten as \( - (2y)^3 \) and \( 27z^3 \) is \( (3z)^3 \).
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