|A-B| ne 0, A^(4)=B^(4), C^(3)A=C^(3)B, ...

`|A-B| ne 0`, `A^(4)=B^(4)`, `C^(3)A=C^(3)B`, `B^(3)A=A^(3)B`, then `|A^(3)+B^(3)+C^(3)|=`

`0`

`1`

`3|A|^(3)`

`6`

Text Solution

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The correct Answer is:

`(a)` `(A^(3)+B^(3)+C^(3))(A-B)=A^(4)-A^(3)B+B^(3)A-B^(4)+C^(3)A-C^(3)B=0`
`implies|(A^(3)+B^(3)+C^(3))(A-B)|=0`
`implies|(A^(3)+B^(3)+C^(3))|=0`, since `|(A-B)|ne0`

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