Question

which is equal to $(2 + 3i) + (-4 + i)$?
a. $-2 - 4i$
b. $-2 - 2i$
c. $-2 + 2i$
d. $-2 + 4i$
e. $6 + 4i$

Explanation:

Step1: Separate real and imaginary parts

Group real terms and imaginary terms:
$(2 + (-4)) + (3i + i)$

Step2: Calculate real part sum

Compute sum of real numbers:
$2 + (-4) = -2$

Step3: Calculate imaginary part sum

Compute sum of imaginary numbers:
$3i + i = 4i$

Step4: Combine results

Add the real and imaginary results together:
$-2 + 4i$

Answer:

D. $-2 + 4i$