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

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Solution

GIven : $9 x^{2} - 16 y^{2}$
We can further write it as
$9 x^{2} - 16 y^{2}$ $= (3 x)^{2} - (4 y)^{2}$
Based on the equation $a^{2} - b^{2} = (a + b) (a - b)$
we get,
$9 x^{2} - 16 y^{2}$ $= (3 x + 4 y) (3 x - 4 y)$

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