Example 3

Is wholly real or wholly imaginary, or does it have both a real and an imaginary part?
  1. Simplify any expressions containing .
  2. Find the sum or difference of the real parts.
  3. Find the sum or difference of the imaginary parts.
  4. Find the sum of the real and imaginary parts.
  5. Use the form of the sum to determine if it is wholly real or wholly imaginary, or if it has both a real and an imaginary part.
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