Factorize: `1/(27)x^3-y^3+125 z^3+5x y z`

Explanation

To factorize the expression \( \frac{1}{27}x^3 - y^3 + 125z^3 + 5xyz \), we can follow these steps:

### Step 1: Rewrite the expression
We start by rewriting the expression in a more manageable form:
\[ \frac{1}{27}x^3 - y^3 + 125z^3 + 5xyz \]
We can express \( \frac{1}{27}x^3 \) as \( \left(\frac{x}{3}\right)^3 \) and \( 125z^3 \) as \( (5z)^3 \):
...