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x2 + y4 + x4 +y2 = x6 + y6

unless you know what x and y are.

* * * * *

x2 + y4 + x4 + y2 ??

I don't believe that this expression can be factorised or otherwise simplified.

It certainly does not equal x6 + y6,

for all x and all y:

for example, if x = y = 1, then

x2 + y4 + x4 + y2 = 4, whilst

x6 + y6 = 2;

thus, they are two manifestly unequal quantities.

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โˆ™ 2010-08-09 21:18:52
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