`8x^(3)+y^(3)+27z^(3)-18xyz`

Explanation

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

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