Simplify the expression.
negative 4 i left-parenthesis 2 plus 3 i right-parenthesis
(1 point)
Responses
negative 20 i
Image with alt text: negative 20 i
5i
5 i
negative 12 minus 8 i
Image with alt text: negative 12 minus 8 i
12 minus 8 i
The simplified expression is 12 minus 8i.
To simplify the expression (-4i)(2 + 3i), you can use the distributive property.
First, multiply -4i by 2 and -4i by 3i:
-4i * 2 = -8i
-4i * 3i = -12i^2
Next, simplify -12i^2:
Since i^2 is equal to -1, we can substitute -1:
-12i^2 = -12(-1) = 12
So, the simplified expression is:
-8i + 12
Therefore, the answer is 12 - 8i.