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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
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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
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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
8.9k points
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