Final answer:
To simplify the expression (3-1)-(2+61), first find the result of each parenthesis separately and then subtract the second from the first, resulting in -7i, or simply -6i.
Step-by-step explanation:
The question asks to simplify the expression (3-1)-(2+61).
Solution:
First, evaluate the complex numbers inside each parenthesis separately:
- (3-1) simplifies to 2 - i.
- (2+61) simplifies to 2 + 6i.
Next, subtract the second expression from the first:
(2 - i) - (2 + 6i) = 2 - 2 - i - 6i = -7i
Thus, the expression simplifies to -6i, which corresponds to one of the multiple-choice options provided in the question.