Question

select the correct answer.

write \\((9 + 6i) - (1 + 3i)\\) as a complex number in standard form.

\\(10 + 9i\\)

\\(8 - 3i\\)

\\(8 + 3i\\)

\\(7 - 12i\\)

Explanation:

Distribute the negative sign

$$ (9 + 6i) - (1 + 3i) = 9 + 6i - 1 - 3i $$

Group real and imaginary parts

$$ (9 - 1) + (6i - 3i) $$

Simplify to standard form

$$ 8 + 3i $$

Answer:

• (A) \(10 + 9i\)
• (B) \(8 - 3i\)
• (C) \(8 + 3i\) (Correct answer)
• (D) \(7 - 12i\)