Math Problem Statement
(-2-6i)(3+i)
Solution
Let's multiply the complex numbers and .
We will apply the distributive property (also known as the FOIL method for binomials):
Now, calculate each term:
- (Remember that , so this becomes )
Now, combine all the terms:
Thus, the product of is:
If you'd like more details or have any questions, feel free to ask!
Here are 5 related questions for you to explore:
- What happens if we multiply a complex number by its conjugate?
- How do we divide complex numbers?
- Can complex numbers be added or subtracted directly? If so, how?
- What is the modulus of a complex number, and how do you calculate it?
- How do you express a complex number in polar form?
Tip: When multiplying complex numbers, remember to distribute each term and simplify carefully, especially when dealing with powers of .
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Multiplication of Complex Numbers
Algebra
Formulas
Distributive Property (FOIL method)
i^2 = -1
Theorems
Multiplying Complex Numbers
Suitable Grade Level
Grades 9-11