The given expression gives the complex number:
N = 1 + 0i
How to add and subtract complex numbers?
Here we want to simplify the expression:
N = -4i + (1/4 - 5i) - (-3/4 + 8i) + 17i
Where i is the complex number, now we can just separate the terms with i and the terms without i.
N = -4i + (1/4 - 5i) - (-3/4 + 8i) + 17i
= (1/4 + 3/4) + (-4i - 5i - 8i + 17i)
= ( 1) + (-4 - 5 - 8 + 17)i
= 1 + 0i
That is the complex number that comes out of the given expression.
If you want to learn more about complex numbers:
https://brainly.com/question/10662770
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