SOLUTION: Simplify (i + 1)(100) - (i - 1)(100).

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Question 1209629: Simplify (i + 1)(100) - (i - 1)(100).
Answer by ikleyn(52778) About Me  (Show Source):
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Simplify (i + 1)(100) - (i - 1)(100)
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Open parentheses   (100i + 100) - (100i - 100).


Combine real parts separately and imaginary parts separately

                   (100i + 100) - (100i - 100) = (100 + 100) + (100i - 100i).


The sum of real parts is 200.  The sum of imaginary parts is 0: they cancel each other.


ANSWER.  After simplification, the value of the given expression is 200.

Solved, with all necessary explanations.