Question

simplify the expression to a + bi form:
(-12 + 10i) - (-8 + i)

Explanation:

Step1: Distribute the negative sign

To simplify \((-12 + 10i)-(-8 + i)\), we first distribute the negative sign to the terms inside the second parentheses. This gives us \(-12 + 10i + 8 - i\).

Step2: Combine the real parts and the imaginary parts

Next, we combine the real parts (\(-12\) and \(8\)) and the imaginary parts (\(10i\) and \(-i\)) separately.
For the real parts: \(-12 + 8=-4\)
For the imaginary parts: \(10i - i = 9i\)
Combining these results, we get \(-4 + 9i\).

Answer:

\(-4 + 9i\)