Question

Perform the indicated operation and write the answer in the form A+Bi

Answer 1

The Solution:

Given:

`(3+8i)(4-3i)`

We are required to simplify the above expression in a+bi form.

Simplify by expanding:

`\begin{gathered} (3+8i)(4-3i) \\ 3(4-3i)+8i(4-3i) \\ 12-9i+32i-24(-1) \end{gathered}`

Collecting the like terms, we get:

`\begin{gathered} 12-9i+32i+24 \\ 12+24-9i+32i \\ 36+23i \end{gathered}`

Therefore, the correct answer is [option 3]