Math Problem Statement
(10+15i)-(48-30i)
Solution
To simplify the expression , follow these steps:
Step 1: Distribute the negative sign
The expression becomes:
Step 2: Combine the real parts and imaginary parts
- Real part:
- Imaginary part:
Final result:
So, the simplified result is .
Would you like further clarification or more examples?
Here are 5 related questions to explore further:
- How do you simplify expressions involving complex conjugates?
- What is the geometric interpretation of complex numbers?
- How do you multiply complex numbers?
- What is the modulus of a complex number?
- How do you divide complex numbers?
Tip: When adding or subtracting complex numbers, always separate the real and imaginary parts and combine them separately!
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Algebra
Formulas
Addition and Subtraction of Complex Numbers: (a+bi) ± (c+di) = (a±c) + (b±d)i
Theorems
Properties of Complex Numbers
Suitable Grade Level
Grades 9-10