|(-1,b,c),(a,-1,c),(a,b,-1)|=(a+1)(b+1)(...

`|(-1,b,c),(a,-1,c),(a,b,-1)|=(a+1)(b+1)(c+1)(1/(a+1)+b/(b+1)+c/(c+1)-1)`

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|(1+a,b,c),(a,1+b,c),(a,b,1+c)|=

|{:(-1,b,c),(a,-1,c),(a,b,-1):}|=(a+1)(b+1)(c+1)((a)/(a+1)+(b)/(b+1)+(c)/(c+1)-1)

Show that |[-1,b,c],[a,-1,c],[a,b,-1]|=(a+1)(b+1)(c+1)(a/(a+1)+b/(b+1)+c/(c+1)-1)

Find |{:(1+a,b,c),(a,1+b,c),(a,b,1+c):}|

|(b+c,a,1),(c+a,b,1),(a+b,c,1)|=

|(1,a,b+c),(1,b,c+a),(1,c,a+b)| =

|{:(b+c,a,1),(c+a,b,1),(a+b,c,1):}|=0

|{:(1,a,b+c),(1,b,c+a),(1,c,a+b):}|=0

|{:(a-b,1,a),(b-c,1,b),(c-a,1,c):}|=|{:(a,1,b),(b,1,c),(c,1,a):}|

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