Question

Simplify the following expression:

Answer 1

The simplified form of this expression is 28 + 10i

This question is an expression of imaginary numbers

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

28 + 10i

Therefore, the correct value will be 28 + 10i