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Algebraic Identities

Factorise: 27...

Question

Factorise:
$27 a^{2} - 48 b^{2}$

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Solution

$27 a^{2} - 48 b^{2} = 3 (9 a^{2} - 16 b^{2}) = 3 [(3 a)^{2} - (4 b)^{2}] = 3 (3 a + 4 b) (3 a - 4 b)$

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