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Math Help - I need help in proving " If m is a sum of two squares, then the integer (N^2)(m) is a

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    I need help in proving " If m is a sum of two squares, then the integer (N^2)(m) is a

    I need help in proving " If m is a sum of two squares, then the integer (N^2)(m) is also a sum of two squares. Thanks in advance!
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    Re: I need help in proving " If m is a sum of two squares, then the integer (N^2)(m)

    I need help in proving " If m is a sum of two squares, then the integer (N^2)(m) is a-good-logical.png
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    Re: I need help in proving " If m is a sum of two squares, then the integer (N^2)(m)

    Quote Originally Posted by erockdontstop View Post
    I need help in proving " If m is a sum of two squares, then the integer (N^2)(m) is also a sum of two squares. Thanks in advance!
    Its very simple;
    if m=(a^2 + b^2) then
    N^2 m=N^2(a^2+b^2)=N^2 a^2 +N^2 b^2=(Na)^2+(Nb)^2
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