If n ∈ N, then $x^{2 n - 1} + y^{2 n - 1}$ is divisible by

x + y

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x - y

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$x^{2}$ + $y^{2}$

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$x^{2}$ +xy

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Solution

The correct option is A
x + y

$x^{2 n - 1} + y^{2 n - 1}$ is always contain equal odd power.

So it is always divisible by x + y.

Suggest Corrections

Similar questions

If n ∈ N, then $x^{2 n - 1} + y^{2 n - 1}$ is divisible by

\forall n \in N; x^{2 n - 1} + y^{2 n - 1}

n ϵ N

x^{2 n - 1} + y^{2 n - 1}

Prove that $x^{2 n - 1} + y^{2 n - 1}$ is divisible by $x + y$ for all $n \in N$ .

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