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 identity for the square of a trinomial, which states that:

\[ (a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca \]

We will identify \(a\), \(b\), and \(c\) in each expression and then rewrite them in the form of \((a + b + c)^2\).

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