Math Problem Statement
Simplify (-4i)(-6-2i)
Solution
To simplify the expression , we can follow these steps:
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Distribute the to both terms in the parentheses:
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Multiply each term:
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Recall that , so:
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Now, combine the results:
So, the simplified expression is:
Would you like further explanation or have any questions about this solution?
Here are some related questions you can explore:
- How does multiplying complex numbers work in general?
- What is the conjugate of a complex number, and how do you use it?
- What is the modulus of a complex number, and how is it calculated?
- How can you express complex numbers in polar form?
- What is the difference between real and imaginary parts of a complex number?
Tip: When multiplying complex numbers, always remember to apply the distributive property and replace with .
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Multiplying Complex Numbers
Formulas
i^2 = -1
Theorems
Distributive Property
Suitable Grade Level
Grades 9-11