Math Problem Statement
Simplify (2 + 3i) + (4 - 2i).
Solution
To simplify the expression , we follow these steps:
- Group the real parts: .
- Group the imaginary parts: .
So, the simplified expression is:
Would you like further explanation or have any questions?
Here are 5 related questions to deepen understanding:
- What is the result of ?
- How would you simplify ?
- What is the conjugate of ?
- How do you subtract two complex numbers, like ?
- What is the magnitude of the complex number ?
Tip: When simplifying complex numbers, treat the real and imaginary parts separately, just like combining like terms in algebra.
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Addition of Complex Numbers
Formulas
(a + bi) + (c + di) = (a + c) + (b + d)i
Theorems
Basic Arithmetic of Complex Numbers
Suitable Grade Level
Grades 10-12