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Factorisation Using Algebraic Identities

Factorise : 4...

Question

Factorise :

$4 a^{2} - 9$

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Solution

$4 a^{2} - 9 = (2 a)^{2} - (3)^{2} = (2 a + 3) (2 a - 3) {∵ a^{2} - b^{2} = (a + b) (a - b)}$

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