Question

quadratic and polynomial functions
adding or subtracting complex numbers
subtract.
(4 - 5i) - (-3 + 6i)
write your answer as a complex number in standard form.

Explanation:

Step1: Distribute the negative sign

To subtract the complex numbers, we first distribute the negative sign to the second complex number: \((4 - 5i) - (-3 + 6i) = 4 - 5i + 3 - 6i\)

Step2: Combine the real parts and the imaginary parts

For the real parts: \(4 + 3 = 7\)
For the imaginary parts: \(-5i - 6i = -11i\)

Step3: Write in standard form

Combine the results from Step 2 to get the complex number in standard form: \(7 - 11i\)

Answer:

\(7 - 11i\)