Factorise:

Question:

Factorise:
12x2 − 27

Solution:

We have:

$12 x^{2}-27=3\left(4 x^{2}-9\right)$

$=3\left\{(2 x)^{2}-(3)^{2}\right\}$

$=3(2 x+3)(2 x-3)$

$\therefore 12 x^{2}-27=3(2 x+3)(2 x-3)$

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