Question

How do you simplify `( 2 + 3i) - ( -4 - 4i)`?

Answer 1

Explanation is given below

Explanation:

To simplify `(2+3i)-(-4-4i)`
Start by opening up the parenthesis

`=2+3i-(-4)-(-4i) quad`distribute the negative
`=2+3i+4+4i quad` `"negative" xx "negative" =" positive"`

Collect the real parts together and do the same for imaginary parts.

`=2+4+3i+4i`

`=6+7i`

Answer 2

6 + 7i

Explanation:

When adding complex numbers : add the real parts together and

add the imaginary parts together.

( a + bi ) + ( c + di) = a + c + (b + d )i

so ( 2 + 3i ) - ( -4 - 4i ) = 2 + 3i + 4 + 4i = 6 + 7i