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

Perform the indicated operation and write the answer in the form A+Bi-example-1

1 Answer

4 votes

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]

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