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QUESTION IMAGE

8i + (7 - 3i)

Question

8i + (7 - 3i)

Explanation:

Step1: Remove parentheses

To simplify the expression \(8i+(7 - 3i)\), we first remove the parentheses. The sign before the parentheses is positive, so the terms inside remain as they are: \(8i + 7-3i\).

Step2: Combine like terms

Now, we combine the imaginary parts (\(8i\) and \(-3i\)) and keep the real part (\(7\)) as it is. Combining the imaginary parts: \(8i-3i = 5i\). So the simplified expression is \(7 + 5i\).

Answer:

\(7 + 5i\)