Question

If n is natural number than 5^2n-2^2n is divisible by

Answer 1

Step-by-step explanation:

let, n = 1

then,

${5}^{2n} - {2}^{2n} \\ = {5}^{2 \times 1} - {2}^{2 \times 1} \\ = {5}^{2} - {2}^{2} \\ = 25 - 4 \\ = 21 \\ = 7 \times 3$

therefore, the given expression is divisible by 7 or 3

hope it'll help you.