Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

subtract. write the answer in standard form. $(12 + 4i) - (3 - 7i) = \\…

Question

subtract. write the answer in standard form.
$(12 + 4i) - (3 - 7i) = \boxed{9 - 3i}$ (marked with ×)

Explanation:

Step1: Distribute the negative sign

$(12 + 4i) - 3 + 7i$

Step2: Combine real parts

$12 - 3 = 9$

Step3: Combine imaginary parts

$4i + 7i = 11i$

Step4: Combine results

$9 + 11i$

Answer:

$9 + 11i$