Question 92 (iii)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$4 x^{2} - 49 y^{2}$

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Solution

We have,
$4 x^{2} - 49 y^{2} = (2 x)^{2} - (7 y)^{2} = (2 x - 7 y) (2 x + 7 y)$

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