Question

please give me the answer ​

Answer 1

✯✯ QUESTION ✯✯

Factorise :.

$⇢{4x}^{2}+{9y}^{2}+{16z}^{2}+12xy-24yz-16xz$

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✰✰ ANSWER ✰✰

$⇢{4x}^{2}+{9y}^{2}+{16z}^{2}+12xy-24yz-16xz$

➜Using Identity : -

$⇢({x}^{2}+{y}^{2}+{z}^{2}-xy-yz-zx) (x+y+z)$

$⇢{(2x+3y+4z)}^{2}$

Here,we will put a negative sign before 4z because z is vommon in-24yz and -16xz

$⇢{(2x+3y-4z)}^{2}$

☛$\textbf{(2x+3y-4z) (2x+3y-4z)}$