Calculate the product of the complex numbers . The result is _________.
Answer & Analysis
Analysis
Question Analysis
This problem tests the student's ability to multiply complex numbers and simplify the result.
Key Concept Explanation
Use the distributive property (FOIL method) to expand the product of the complex numbers. Simplify by combining like terms and substituting .
Step-by-step Solution
1. Expand using the FOIL method:
2. Simplify each term:
3. Substitute :
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