Facorise the following
(i) `9x^(2)+4y^(2)+16z^(2)+12xy-16yz-24xz`
(ii) `25x^(2)+16y^(2)+4z^(2)-40xy+16yz-20xz`
(iii) ` 16x^(2)+4y^(2)+9z^(2)-16xy-12yz+24xz`

Explanation

To factorize the given expressions, we will use the method of recognizing perfect square trinomials. Let's solve each part step by step.

### (i) Factorize `9x² + 4y² + 16z² + 12xy - 16yz - 24xz`

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