Math Problem Statement
(3+i)−(7−i)
Solution
To solve the expression , follow these steps:
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Distribute the negative sign:
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Combine the real parts:
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Combine the imaginary parts:
So, the simplified result is:
Would you like more details or further explanations?
Here are 5 related questions to explore:
- What are complex numbers and how are they used in mathematics?
- How do you multiply complex numbers?
- What is the complex conjugate of a number?
- How do you calculate the magnitude (or modulus) of a complex number?
- How do you add or subtract more than two complex numbers?
Tip: When dealing with complex numbers, always separate real and imaginary parts to simplify operations.
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Addition and Subtraction of Complex Numbers
Formulas
(a + bi) - (c + di) = (a - c) + (b - d)i
Theorems
Properties of Complex Numbers
Distributive Property
Suitable Grade Level
Grades 9-11