Question

Select the correct answer.
What is the standard form of this complex number?
3i + ( + 2i ) – (3 + 3i)

Answer 1

Answer:

$\huge\boxed{A.\ -\dfrac{9}{4}+2i}$

Step-by-step explanation:

The standard form of a complex number:

$z=a+bi\\\\a,\ b\in\mathbb{R}$

$3i+\left(\dfrac{3}{4}+2i\right)-(3+3i)=3i+\dfrac{3}{4}+2i-3-3i\\\\=\left(\dfrac{3}{4}-3\right)+(3+2-3)i=-2\dfrac{1}{4}+2i=-\dfrac{9}{4}+2i$