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Factorisation Using Algebraic Identities

Factorise the...

Question

Factorise the following: $4 x^{2} - 81 y^{2}$

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Solution

We have $4 x^{2} - 81 y^{2}$
$= (2 x)^{2} - (9 y)^{2}$ ---------Using $a^{2} - b^{2} = (a + b) (a - b)$
$= (2 x + 9 y) (2 x - 9 y)$

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