Prove: `|((a^2+b^2)/c,c,c),( a,(b^2+c^2)/a ,a),( b,b,(c^2+a^2)/b)|=4a b c`

Explanation

`Delta=|((a^2+b^2)/c,c,c),( a,(b^2+c^2)/a ,a),( b,b,(c^2+a^2)/b)|`


Multiplying `underset(1)(R)`, `underset(2)(R)` and `underset(3)(R)` by `c,a` and `b` and divide by `abc`


`implies frac{1}{abc}|((a^2+b^2),c^2,c^2),( a^2,(b^2+c^2),a^2),( b^2,b^2,(c^2+a^2))|`


Applying `underset(2)(C)->underset(2)(C)-underset(1)(C)` and `underset(3)(C)->underset(3)(C)-underset(1)(C)`


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