Question

subtract.
(-5 + 2i) - (-4 + 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:
\((-5 + 2i) - (-4 + 6i) = -5 + 2i + 4 - 6i\)

Step2: Combine the real parts and the imaginary parts

Combine the real parts (\(-5\) and \(4\)) and the imaginary parts (\(2i\) and \(-6i\)) separately:
Real parts: \(-5 + 4 = -1\)
Imaginary parts: \(2i - 6i = -4i\)

Step3: Write in standard form

Combine the results to get the complex number in standard form (\(a + bi\)):
\(-1 - 4i\)

Answer:

\(-1 - 4i\)