If n in N,then {x^{2n - 1}} + {y^{2n - 1}} is | vedclass

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(A) For any $n \in N$,the expression ${x^{2n - 1}} + {y^{2n - 1}}$ represents the sum of two terms with the same odd exponent.According to the algebra

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$x + y$

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(A) For any $n \in N$,the expression ${x^{2n - 1}} + {y^{2n - 1}}$ represents the sum of two terms with the same odd exponent.According to the algebraic identity,${a^k} + {b^k}$ is divisible by $a + b$ if $k$ is an odd positive integer.Here,$k = 2n - 1$,which is always an odd integer for any $n \in N$.Therefore,${x^{2n - 1}} + {y^{2n - 1}}$ is always divisible by $x + y$.

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

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