Three biquadrates whose sum is a square

 

If   a^2 \; + \; b^2 \; = \; c^2
(a \, b)^4 + b^4 \, (a^2+b^2)^2 + a^4 \, (a^2+b^2)^2 \; = \; (a^4 + (a \, b)^2 + b^4)^2
(a \, b)^4 + (b \, c)^4 + (c \, a)^4 \; = \; (a^4 + (a \, b)^2 + b^4)^2

 
 

BIQUADRATE 1
                         BIQUADRATE 2

 
 

 
 
 
 
 

 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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