Question

subtract and simplify.

\\((-4 + 2i) - (-5 - 6i)\\)

\\((-4 + 2i) - (-5 - 6i) = \\)

(simplify your answer. type your answer in the form \\(a + bi\\).)

Explanation:

Distribute the negative sign

$$ (-4 + 2i) - (-5 - 6i) = -4 + 2i + 5 + 6i $$

Group real and imaginary parts

$$ (-4 + 5) + (2i + 6i) $$

Combine like terms

$$ 1 + 8i $$

Answer:

Subtract and simplify.
\((-4 + 2i) - (-5 - 6i) =\) <blank>\(1 + 8i\)</blank>
(Simplify your answer. Type your answer in the form \(a + bi\).)