Math Problem Statement
(2 - 6i)(4 - 2i)
Solution
The expression provided in the image is:
Let's multiply these two complex numbers using the distributive property (FOIL method):
Now, calculate each term:
- , and since , this becomes
Now, combine all terms:
So, the product is:
Would you like more details on this solution or have any questions?
Here are some related questions:
- How do you multiply two complex numbers in general?
- What does represent, and why is it important in complex numbers?
- Can the distributive property be applied to any two complex numbers?
- What is the geometric interpretation of multiplying two complex numbers?
- How do you find the magnitude and phase of the resulting complex number?
Tip: When multiplying complex numbers, always remember that , which is essential for simplifying terms involving .
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Multiplication of Complex Numbers
Formulas
(a + bi)(c + di) = (ac - bd) + (ad + bc)i
i^2 = -1
Theorems
Distributive Property
FOIL Method
Suitable Grade Level
Grades 10-12