If n is a natural number, then 9 2n – 4 2n is always divisible by

Question

Philoid · Accepted Answer

9 2ⁿ – 4 2ⁿ is of the form a 2ⁿ — b 2ⁿ.

It is divisible by both a - b and a + b.

So, 9 2ⁿ – 4 2ⁿ is divisible by both 9 - 4 = 5 and 9 + 4 = 13.

If n is a natural number, then 92n – 42n is always divisible by