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Factorisation Using Algebraic Identities

Factorise : 4...

Question

Factorise :

$4 x^{2} - 9 y^{2}$

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Solution

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

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4 x^{2} - 9 y^{2}

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