Question

9 simplify the expression.
$(3 + i) - (2 - 2i)$
a $5 - i$
b $1 + 3i$
c $-1 - 3i$
d $4i$

Explanation:

Step1: Distribute the negative sign

To simplify \((3 + i) - (2 - 2i)\), we first distribute the negative sign to the terms inside the second parentheses. This gives us \(3 + i - 2 + 2i\).

Step2: Combine like terms

Next, we combine the real parts and the imaginary parts separately. For the real parts, \(3 - 2 = 1\). For the imaginary parts, \(i + 2i = 3i\). Combining these results, we get \(1 + 3i\).

Answer:

B. \(1 + 3i\)