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Add the following: ab − bc, bc − ca, ca − ab

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Question

Add the following:

ab − bc, bc − ca, ca − ab

Sum
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Solution

The given expressions are written in separate rows, with like terms one below the other, and then the addition of these expressions is as follows:

ab – bc
    +  bc –  ca
-ab        +  ca
__________________
              0

Thus, the sum of the given expressions is 0.

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