Question
Simplify the expression.
(5 – 5i) – (–6 – 3i)
(1 point)
Responses
–1 – 8i
–1 – 8 i
11 – 2i
11 – 2 i
–11 + 2i
–11 + 2 i
9i
9 i
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The correct answer is: (a) –1 – 8i
To simplify the expression (5 – 5i) - (-6 - 3i), you can distribute the negative sign on the second term:
(5 - 5i) + (6 + 3i)
Then, combine like terms:
5 + 6 - 5i + 3i
This simplifies to:
11 - 2i
Therefore, the answer is 11 - 2i.
To simplify the expression (5 – 5i) – (–6 – 3i), we need to distribute the negative sign in front of the second parentheses. This gives us:
(5 - 5i) + (6 + 3i)
Next, we can combine the real numbers (5 and 6) and the imaginary parts (-5i and +3i) separately. This gives us:
(5 + 6) + (-5i + 3i)
Simplifying further, we get:
11 - 2i
Therefore, the correct simplified form of the expression is 11 - 2i.