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Expansion of (x^2 - y^2)

Factorise the...

Question

Factorise the following
$49 x^{2} - 25 y^{2}$

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Solution

As we know that
$a^{2} - b^{2} = (a - b) (a + b)$
$49 x^{2} - 25 y^{2} = (7 x)^{2} - (5 y)^{2} = (7 x - 5 y) (7 x + 5 y)$

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