Factorise the following
$6 x^{2} - 54$

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Solution

As we know that
$a^{2} - b^{2} = (a - b) (a + b)$
$6 x^{2} - 54 = 6 (x^{2} - 9^{2}) = 6 ((x)^{2} - 3^{2}) = 6 (x - 3) (x + 3)$

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