Factorize : `2sqrt(2)a^3+8b^3-27 c^3+18sqrt(2)a b c`

Explanation

To factorize the expression \( 2\sqrt{2}a^3 + 8b^3 - 27c^3 + 18\sqrt{2}abc \), we will use the identity for factorization of a cubic expression:

\[ a^3 + b^3 + c^3 - 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - ac - bc) \]

### Step-by-Step Solution:

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