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[a+b+2c,a,b],[c,b+c+2a,b],[c,a,c+a+2b]|=...

[a+b+2c,a,b],[c,b+c+2a,b],[c,a,c+a+2b]|=2(a+b+c)^(3)quad [NCE

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Show that: |[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]|=(a+b+c)^3