Write the following expression as a single complex number.(‐4 + 3i) – (5 + 2i)1 + 5i1 + i-9 + i-9 + 5i
Question
Write the following expression as a single complex number.(‐4 + 3i) – (5 + 2i)1 + 5i1 + i-9 + i-9 + 5i
Solution
The given expression is a bit unclear, but I'll try to break it down as best as I can.
Let's start with the first part: (‐4 + 3i) – (5 + 2i)
Step 1: Subtract the real parts and the imaginary parts separately.
= (-4 - 5) + (3i - 2i) = -9 + i
Now, let's move to the second part: 1 + 5i
This is already a single complex number, so no further simplification is needed.
The third part: 1 + i
This is also already a single complex number, so no further simplification is needed.
The fourth part: -9 + i
This is also already a single complex number, so no further simplification is needed.
The fifth part: -9 + 5i
This is also already a single complex number, so no further simplification is needed.
So, if you meant to add all these together, the final expression would be:
(-9 + i) + (1 + 5i) + (1 + i) + (-9 + i) + (-9 + 5i)
= -25 + 13i
So, the given expression as a single complex number is -25 + 13i.
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