Factorise: $9 x^{2} - 16 y^{2}$

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Solution

Using: $a^{2} - b^{2} = (a + b) (a - b)$

Using the above identity, the equation $9 x^{2} - 16 y^{2}$ can be factorised as follows:

$9 x^{2} - 16 y^{2} = (3 x)^{2} - (4 y)^{2} = (3 x + 4 y) (3 x - 4 y)$

Hence, $9 x^{2} - 16 y^{2} = (3 x + 4 y) (3 x - 4 y)$

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