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Prove that if xa n dy are odd positive i...

Prove that if `xa n dy` are odd positive integers, then `x^2+y^2` is even but not divisible by 4.

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Knowledge Check

  • If n is an odd positive integer, then a^(n)+b^(n) is divisible by

    A
    a+b
    B
    a-b
    C
    `a^(2)+b^(2)`
    D
    none of these

  • If n is a positive integer, then 2.4^(2n+1)+3^(3n+1) is divisible by :

    A
    2
    B
    7
    C
    11
    D
    27

  • If n is a positive integer, then n^(3)+2n is divisible by

    A
    2
    B
    6
    C
    15
    D
    3

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    If n is an odd positive integer,show that (n^(2)-1) is divisible by 8.

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