This is a very similar question to what I posted earlier.(adsbygoogle = window.adsbygoogle || []).push({});

Basically I am trying to find when (x+y)^{6}= x^{6}+ y^{6}assuming that xy≠0

I am trying to play with it algebraically to find a contradiction, but have been unsuccessful

I'm also working on (x+y)^{7}= x^{7}+ y^{7}assuming xy≠0

I'm trying to play with it algebraically to show the only other case is when y=-x

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# Sums of 6th and 7th degree powers

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