Math Problem Statement
Solution
The given problem is:
To solve this, we will use the formula for multiplying complex numbers: . Here, and .
Step-by-Step Solution:
- Expand the expression using the difference of squares:
- Calculate :
- Calculate : Since , this becomes:
- Combine the results:
Final Answer:
The answer is 97, which is a real number. It should be written as if you need to express it in the form .
Would you like more details or have any questions?
Here are 5 related questions for further practice:
- Simplify .
- Multiply and find the result.
- What is the product of ?
- How do you multiply complex numbers in the form ?
- What is the result when multiplying ?
Tip: When multiplying complex conjugates, the imaginary parts always cancel out, resulting in a real number.
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Algebra
Difference of Squares
Formulas
(a + bi)(a - bi) = a^2 - b^2i^2
Theorems
Difference of Squares
Suitable Grade Level
Grades 10-12
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