Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the desired sum or difference. \\(3 - 2i) - (-2 + 4i)\\ \\(3 - 2i)…

Question

find the desired sum or difference.

\\(3 - 2i) - (-2 + 4i)\\

\\(3 - 2i) - (-2 + 4i) = \\
(simplify your answer. type your answer in the form \\(a + bi\\))

Explanation:

Distribute the negative sign

Using the Complex Numbers knowledge point

$$ (3 - 2i) - (-2 + 4i) = 3 - 2i + 2 - 4i $$

Group real and imaginary parts

Using the Complex Numbers knowledge point

$$ (3 + 2) + (-2i - 4i) $$

Combine like terms

Using the Complex Numbers knowledge point

$$ 5 - 6i $$

Answer:

Find the desired sum or difference.

\( (3 - 2i) - (-2 + 4i) = \) <blank>\(5 - 6i\)</blank>
(Simplify your answer. Type your answer in the form a + bi.)