Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

3. Simplify the expression:

[tex]\[ (2 - 5i) - (4 - 4i) \][/tex]

A. [tex]\( 2 + i \)[/tex]
B. [tex]\(-3i \)[/tex]
C. [tex]\(-2 - i \)[/tex]
D. [tex]\(6 - 9i \)[/tex]

Sagot :

GinnyAnswer
To simplify the expression [tex]\((2 - 5i) - (4 - 4i)\)[/tex], follow these steps:

1. Distribute the subtraction across the complex numbers:
[tex]\[ (2 - 5i) - (4 - 4i) = 2 - 5i - 4 + 4i \][/tex]

2. Combine the real parts:
[tex]\[ 2 - 4 = -2 \][/tex]

3. Combine the imaginary parts:
[tex]\[ -5i + 4i = -i \][/tex]

Putting it all together:
[tex]\[ (2 - 5i) - (4 - 4i) = -2 - i \][/tex]

Therefore, the simplified expression is [tex]\( \boxed{-2 - i} \)[/tex].

Given the provided options:
- [tex]\(2 + i\)[/tex]
- [tex]\(-3i\)[/tex]
- [tex]\(-2 - i\)[/tex]
- [tex]\(6 - 9i\)[/tex]

The correct choice is:
[tex]\( \boxed{-2 - i} \)[/tex]
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.