If x and y are two distinct integers and n is a natural num…

Maths Binomial Theorem & Mathematical Induction NTA Abhiyas Question - Mathematical Induction Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

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

x 2 -y 2

x + y

x-y

None of these

Text Solution

Verified by Experts

The correct answer is:

x-y

P (n) : x n - y n where n N

Then, P(1): x - y is divisible x - y

P (2) : x 2 - y 2 is divisible x - y

P (3) : x 3 - y 3 is divisible x - y

Hence x n - y n is divisible x - y

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