Question

expression to a + bi form: (8 - 4i) - (2 - 7i)

Explanation:

Step1: Remove the parentheses

To remove the parentheses, we distribute the negative sign to the terms inside the second parentheses:
\((8 - 4i) - (2 - 7i) = 8 - 4i - 2 + 7i\)

Step2: Combine the real parts and the imaginary parts

For the real parts: \(8 - 2 = 6\)
For the imaginary parts: \(-4i + 7i = 3i\)

Step3: Write in \(a + bi\) form

Combining the results from Step 2, we get \(6 + 3i\)

Answer:

\(6 + 3i\)