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Prove: |(a, b-c,c-b),( a-c, b, c-a),( a-...

Prove: `|(a, b-c,c-b),( a-c, b, c-a),( a-b,b-a, c)|=(a+b-c)(b+c-a)(c+a-b)`

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`Delta=|(a, b-c,c-b),( a-c, b, c-a),( a-b,b-a, c)|=(a+b-c)(b+c-a)(c+a-b)`
Applying `underset(1)(R)->underset(1)(R)-underset(2)(R)`
`Delta=|[a-(a-c),b-c-c,c-b-(c-a)],[a-c,b,c-a],[a-b,b-a,c]|`
`implies |[c,-c,a-b],[a-c,b,c-a],[a-b,b-a,c]|`
...
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