Register
Simplify the given expression: (_5 + 3i) ´ (1 _ 2i) I've been having trouble with these... I use FOIL and then combine like terms but the answer I come up with is never an option. These are my four options
37.5k views
2 votes
Simplify the given expression:

(_5 + 3i) ´ (1 _ 2i)
I've been having trouble with these... I use FOIL and then combine like terms but the answer I come up with is never an option. These are my four options the closest one to my answer is the second one.
_5 _ 6i
1 + 13i
2 + i
4 _ 5i

User Beetree
by
7.5k points

1 Answer

4 votes
We will multiply the two using the distributive property:
-5(1 - 2i) + 3i(1 - 2i)
= -5 + 10i + 3i - 6i²
Now, i² = -1
= -5 + 10i + 3i -6(-1)
= 6 - 5 + 10i + 3i
= 1 + 13i
The second option is correct.
User Josh Rieken
by
8.3k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

8.6m questions

11.2m answers

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
Link Copied!