Question 92 (v)

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

$28 a y^{2} - 175 a x^{2}$

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Solution

We have,
$28 a y^{2} - 175 a x^{2} = 7 a (4 y^{2} - 25 x^{2}) = 7 a [(2 y)^{2} - (5 x)^{2}] = 7 a (2 y - 5 x) (2 y + 5 x)$

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