Factorise:
$4 x^{2} + 9 y^{2} - z^{2} + 12 x y$

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Solution

Now,
$4 x^{2} + 9 y^{2} - z^{2} + 12 x y$
$= 4 x^{2} + 12 x y + 9 y^{2} - z^{2}$
$= (2 x + 3 y)^{2} - z^{2}$
$= (2 x + 3 y + z) (2 x + 3 y - z)$ .

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