Simplify:
$4 x^{2} - 4 x z + 6 y z - 9 y^{2}$

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Solution

Now,
$4 x^{2} - 4 x z + 6 y z - 9 y^{2}$
$= 4 x^{2} - 9 y^{2} - 2 z (2 x - 3 y)$
$= (2 x - 3 y) (2 x + 3 y) - 2 z (2 x - 3 y)$
$= (2 x - 3 y) (2 x + 3 y - 2 z)$ .

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