Problem
-ll Metro by T-Mobile $\rightleftharpoons \quad$ 4:33 PM Done $Q$ ourse.apexlearning.com AA 1.8.4 Quiz: Multiplying and Dividing Complex Numbers Question 7 of 10 Simplify the following expression as much as possible. \[ (2+i)-(4-6 i)(-3+3 i) \] A. $-4-29 i$ B. $32-29 i$ C. $32+31 i$ D. $-4+31 i$
Solution
Step 1 ：Let's denote the complex numbers as follows: \(a = 2+i\), \(b = 4-6i\), and \(c = -3+3i\).
Step 2 ：Next, we perform the multiplication and subtraction operations: \(a - b \cdot c\).
Step 3 ：After performing the operations, we get the result as \(-4 - 29i\).
Step 4 ：Thus, the simplified expression is \(\boxed{-4-29 i}\).
