Symetric Triple Quad Formula

1. The problem statement, all variables and given/known data



So I am trying to make the triple quad formula: (Q1+Q2-Q3)2 = 4Q1Q2

into the symetric version: (Q1+Q2+Q3)2 = 2(Q12 + Q22 + Q32)



2. Relevant equations



(Q1+Q2-Q3)2 = 4Q1Q2

(Q1+Q2+Q3)2 = 2(Q12 + Q22 + Q32)



3. The attempt at a solution



I get the equation into the form: Q12+Q22+Q32 = 2(Q1Q2+Q1Q3+Q2Q3)



Then any substitutions I do I go back in circles. I attempted to square both sides but no cigar.

Any advice would be appreciated