For any natural numbers, 25^ 2 n -9^ 2 n is always divisible by - Vidyadip

MCQ

For any natural numbers, $25^{2 n}-9^{2 n}$ is always divisible by

A
16
B
34
✓
both 16 and 34
D
none of these

✓

Answer

Correct option: C.

both 16 and 34

(C) both 16 and 34
[Hint: $a^{2 n}-b^{2 n}$ is divisible by both $(a+b)$ and $(a-b)$ ]

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