65.1k views
0 votes
(5-9i)-(2-6i)+(3-4i)

1 Answer

3 votes

================================

Simplifying - Solution and Explanation

================================

Hello! So...

We are given the following:


(5-9i)-(2-6i)+(3-4i)

_____________________________________________

1. Simplify the given expression.


(5-9i)-(2-6i)+(3-4i)=5-9i-(2-6i)+3-4i

_____________________________________________

2. Group the like terms.


-9i-4i(-2-6i)+5+3

_____________________________________________

3. Add similar elements (
-9i-4i=-13i ).


=-13i-(2-6i)+5+3

_____________________________________________

4. Add the numbers (
5+3=8 ).


-13i-(2-6i)+8

_____________________________________________

5. Remove the parentheses (
-(a+bi)=-a-bi ).


-13i+-2-(-6)i+8

_____________________________________________

6. Group the like terms.


-13i-(-6)i-2+8

_____________________________________________

7. Add similar elements (
-13i-(-6)i=-7i ).


-7i-2+8

_____________________________________________

8. Add the numbers (
-2+8=6 ).


-7i+6

_____________________________________________

9. Rewrite in standard complex form.


6-7i

^Hence, our solution.

_______________________________________________________

Hope this helps! If so, lmk! If you need anything else, feel free to comment below and I'll see what else I can do to assist you further. But for now, thank you for your time and good luck!

User CC Inc
by
7.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.