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Prove: |a^2b c a c+c^2a^2+a bb^2a c a bb...

Prove: `|a^2b c a c+c^2a^2+a bb^2a c a bb^2+b cc^2|=4a^2b^2c^2`

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Given `|[a^2,bc,ac+c^2],[a^2+ab,b^2,ac],[ab,b^2+bc,c^2]|=4a^2b^2c^2`
Taking LHS=`|[a^2,bc,ac+c^2],[a^2+ab,b^2,ac],[ab,b^2+bc,c^2]|`
`=abc|[a,c,a+c],[a+b,b,a],[b,b+c,c]|`
`C_1->C_1+C_2-C_3`
...
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