Factorize the following expression : \( x^3 – 8y^3 + 27z^3 + 18xyz \)

\[ x^3 – 8y^3 + 27z^3 + 18xyz \] \[ = x^3 + (-2y)^3 + (3z)^3 – 3(x)(-2y)(3z) \] \[ = \left[x + (-2y) + 3z\right] \left[ x^2 + 4y^2 + 9z^2 + 2xy + 6yz – 3xz \right] \] \[ = (x – 2y + 3z) (x^2 + 4y^2 + 9z^2 + 2xy + 6yz – 3xz) \]