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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