The simplified form of this expression is <u>28 + 10i </u>
<h3>This question is an expression of imaginary numbers</h3>
Imaginary numbers are numbers that are composed of a real number and an imaginary part.
< To resolve this issue, let's remove the first parenthesis:
(3i + 4) - i + 4(6 + 2i)
3i + 4 - i + 4(6 + 2i)
< In the second parentheses, let's apply the distributive property:
3i + 4 - i + 4(6 + 2i)
3i + 4 - i + 4 . 6 + 4 . 2i
3i + 4 - i + 24 + 8i
< Finally, let's just sum the like terms, along with the real terms:
3i + 4 - i + 24 + 8i
10i + 4 + 24
10i + 28
<u>28 + 10i</u>
Therefore, the correct value will be <u>28 + 10i</u>
