Question

a power n - b power n is divisible by (a+b) and (a-b) in case of n is an even number.. is it compulsory for n to be a positive even integer here? or n can be a negative even integer also?​

Answer 1

Answer:

Expression is an+bn

The expression is never divisible by (a−b). 

When n is odd,  it is divisible by(a+b).

When n is even it is not divisible by (a+b)

So, it is not divisible by (a−b)(a+b)=a2−b2, when n is even.

The correct answer is option D.