If and , find the product . The result is __________.
Answer & Analysis
Analysis
Question Analysis
This problem evaluates the student's ability to multiply two given 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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