Simplify the expression.
(5 – 5i) – (–6 – 3i)
(1 point)
Responses
–1 – 8i
11 – 2i
–11 + 2i
9i
The correct answer is -1 - 8i.
To simplify the expression (5 - 5i) - (-6 - 3i), we can distribute the negative sign to the terms inside the parentheses:
(5 - 5i) - (-6 - 3i) = 5 - 5i + 6 + 3i.
Now, we can combine like terms by adding the real parts (5 + 6) and the imaginary parts (-5i + 3i):
5 - 5i + 6 + 3i = 11 - 2i.
Therefore, the simplified expression is 11 - 2i.
To simplify the expression (5 – 5i) – (–6 – 3i), we can start by distributing the negative sign to the terms inside the second parentheses. This will give us:
(5 – 5i) + 6 + 3i
Now, we can combine like terms. The real numbers (5 and 6) can be added together, as well as the imaginary numbers (-5i and 3i):
5 + 6 + (–5i + 3i)
11 – 2i
Therefore, the simplified expression is 11 – 2i.