simplify.\n-(5 + 8i) - (-3 + i)\nwrite your answer in the form a + bi.

Explanation:

Step1: Distribute the negative signs

First, distribute the negative sign in front of the first parentheses: $-(5 + 8i)= -5 - 8i$. Then, distribute the negative sign in front of the second parentheses: $-(-3 + i)= 3 - i$. So the expression becomes $-5 - 8i + 3 - i$.

Step2: Combine like terms

Combine the real parts ($-5$ and $3$) and the imaginary parts ($-8i$ and $-i$) separately. For the real parts: $-5 + 3 = -2$. For the imaginary parts: $-8i - i = -9i$.

Answer:

$-2 - 9i$