Simplify:
$49 a^{2} - 25$

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Solution

$49 a^{2} - 25$
$7^{2} a^{2} - 25$
$7^{2} a^{2} - 5^{2}$
$[∵ A^{2} - B^{2} = (A + B) (A - B)]$
so $(7 a + 5) . (7 a - 5)$

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