Question

x^2n-y^2n is divisible by x+y

Answer 1

Hi friend, Harish here.

Here is your answer:

We know that the power 2n is an even number as it is divisible by two.

xᵃ - yᵃ  is always divisible by x + y when a is even.

Here , a = 2n and it is even .

Therefore x²ⁿ - y²ⁿ is always divisible by x+y.
___________________________________________________

Hope my answer is helpful to you.