Factorise:(i) `4x^2+9y^2+16 z^2+12 x y-24 y z-16 x z`
(ii) `2x^2+y^2+8z^2-2sqrt(2)x y+4sqrt(2)y z-8x z`

Explanation

To factorize the given polynomials, we will follow the steps outlined in the video transcript. Let's break it down step by step.

### Part (i): Factorize \( 4x^2 + 9y^2 + 16z^2 + 12xy - 24yz - 16xz \)

1. **Rewrite the squares**:
- \( 4x^2 = (2x)^2 \)
- \( 9y^2 = (3y)^2 \)
- \( 16z^2 = (4z)^2 \)
...