Q2 / 3 · NTA Abhyas (JEE Main) 2020 · Mathematics · Mathematical Induction

If x and y are two distinct integers and n is a natural number then xn-yn is divisible by

  • A
    x2-y2
  • B
    x+y
  • Correct answer
    C
    x-y
  • D
    None of these

Solution

Pn:xn-yn where n∈N

Then, P1 :x-y is divisible x-y

P2:x2-y2 is divisible x-y

P3:x3-y3 is divisible x-y

Hence xn-yn is divisible x-y

Hence, the correct answer is option: 'C'.