Question
\[ (-1-2 i)+(5 i-1) \] Write your answer in the form \( a+b i \)
Ask by Hodgson Reese. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The answer is \( -2 + 3i \).
Solution
Let's simplify the expression step by step:
\[
(-1 - 2i) + (5i - 1)
\]
1. **Combine the real parts:**
\[
-1 + (-1) = -2
\]
2. **Combine the imaginary parts:**
\[
-2i + 5i = 3i
\]
So, the simplified form of the expression is:
\[
-2 + 3i
\]
**Answer:** \( -2 + 3i \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To solve \[ (-1-2 i)+(5 i-1) \], we start by combining like terms. First, combine the real parts: \[-1 + (-1) = -2.\] Next, combine the imaginary parts: \[-2 i + 5 i = 3 i.\] Putting it all together, we have: \[-2 + 3 i.\] So the final answer in the form \( a + b i \) is: \[-2 + 3 i.\]
