Math Problem Statement
(-4 - 7i) - (4 + 5i) - (2 - i)
Solution
I see the math problems in your image involve complex numbers. Let me solve a few of them for you step by step. I'll start with the first four problems in the image:
11.
- First, distribute the negative signs:
- Combine like terms (real and imaginary):
So, the answer is .
12.
- Distribute the negative signs:
- Combine like terms:
So, the answer is .
13.
- Combine like terms (real and imaginary):
So, the answer is .
14.
- Distribute the negative sign:
- Combine like terms:
So, the answer is .
Would you like details on any of these steps? Feel free to ask, and I can also continue solving the rest of the problems.
Here are five related questions for practice:
- How do you simplify the addition and subtraction of complex numbers?
- What is the result of ?
- What is the conjugate of the complex number ?
- Can complex numbers be ordered like real numbers? Why or why not?
- How do you visualize complex numbers on the complex plane?
Tip: Always separate the real and imaginary parts when adding or subtracting complex numbers.
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Algebra
Formulas
(a + bi) ± (c + di) = (a ± c) + (b ± d)i
Theorems
Properties of Complex Number Addition and Subtraction
Suitable Grade Level
Grade 10-12