Final Answer:
The result of subtracting -5 - 3i from 4 - 6i is 9 - 3i. None of the given options is answer.
Step-by-step explanation:
In this arithmetic operation, we tackle the subtraction of complex numbers, specifically (4 - 6i) subtracted from (-5 - 3i). The objective is to simplify the expression and present the result in standard form (a + bi). The subsequent line-by-line explanation unveils the systematic process leading to the final answer is 9 - 3i.
Start with the subtraction operation:
(4 - 6i) - (-5 - 3i)
Distribute the subtraction across both terms:
4 - 6i + 5 + 3i
Combine like terms:
(4 + 5) + (-6i + 3i)
Simplify further:
9 - 3i
The result is already in standard form (a + bi):
9 - 3i
None of the given options is answer.