Question

Write (picture included) as a complex number in standard form.

Answer 1

-9/4 -4i

Explanation:

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

The first step is to simplify the terms

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

Now we distribute the negative sign

-3i + 3/4 + 2i -3- 3i

Now combine like terms

3/4 -3 -3i+2i -3i

-2 1/4 -4i

Change the mixed number to an improper fraction.

-(4*2+1)/4 -4i

-9/4 -4i