Using properties of determinants, prove that
| a b c|
|a-b b-c c-a| = a^3+b^3+c^3-3abc
|b+c c+a a+b|
Using properties of determinants, prove that
| a b c|
|a-b b-c c-a| = a^3+b^3+c^3-3abc
|b+c c+a a+b|