Question

what is the result of subtracting (-1 - 8i) from (-5 - 2i)?

a. -4 - 6i
b. -4 + 6i
c. 4 + 6i
d. 4 - 6i

Explanation:

Step1: Write the subtraction expression

$(-5 - 2i) - (-1 - 8i)$

Step2: Distribute the negative sign

$-5 - 2i + 1 + 8i$

Step3: Combine real parts

$(-5 + 1) + (-2i + 8i)$

Step4: Combine imaginary parts

$-4 + 6i$

Answer:

B. $-4 + 6i$