Find the greatest number by which the expression $7^{2 n} - 3^{2 n}$ is always exactly divisible.

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Solution

The correct option is D 40
In the given expression $7^{2 n} - 3^{2 n}$
If n=1 then $\Rightarrow 7^{2} - 3^{2}$
$\Rightarrow 49 - 9 = 40$
which is divisible by 40

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