Using principle of mathematical induction prove that `x^(2n)-y^(2n)` is divisible by `x+y` for all `n in Ndot`

Explanation

Let `P(n):x^(2n)−y^(2n)=(x+y)×d` where dϵN


For `n=1`


`LHS =x^(2×1)−y^(2×1)`

`=x^2−y^2`

`=(x+y)(x−y)`

`=RHS`

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