Question #6450260Fill in the Blank
Algebra-2
Question
Simplify the expression . The result is ________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to perform multiple operations on complex numbers, including addition and subtraction, by handling the real and imaginary parts separately.
This problem assesses the ability to perform multiple operations on complex numbers, including addition and subtraction, by handling the real and imaginary parts separately.
Key Concept Explanation
When performing multiple operations on complex numbers, handle the real and imaginary parts separately. The result is a complex number in the form .
When performing multiple operations on complex numbers, handle the real and imaginary parts separately. The result is a complex number in the form .
Step-by-step Solution
1. Identify the real and imaginary parts of each complex number: , , and .
2. Perform the addition first:
1. Identify the real and imaginary parts of each complex number: , , and .
2. Perform the addition first:
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