Subtract the complex numbers (13 + 4i) − (8 + 5i).

Write down the expression:

(13 + 4i) - (8 + 5i)

Distribute the negative sign:

13 + 4i - 8 - 5i

Group the real parts and the imaginary parts:

(13 - 8) + (4i - 5i)

Subtract the real parts:

13 - 8 = 5

Subtract the imaginary parts:

4i - 5i = -i

Combine the results:

5 - i

Therefore, the result of subtracting (8 + 5i) from (13 + 4i) is 5 - i.

This is incorrect because the real part is too low by 2 units

(3 - i)

This is incorrect because the real part is too low by 1 unit

(4 - i)

This is correct because both the real and imaginary parts match the solution

(5 - i)

This is incorrect because the real part is too high by 1 unit

(6 - i)

Option

C

Can you summarize what you’ve understood in the above steps?