Question

Which of the following statements are true about the simplified form of the expression left-parenthesis 2 plus 2 i right-parenthesis divided by left-parenthesis 1 minus i right-parenthesis? Select all that apply.

(1 point)
Responses

The simplified form is 2i.
The simplified form is 2 i .

The simplified form is 4i.
The simplified form is 4 i .

The simplified form is 2 + 2i.
The simplified form is 2 + 2 i .

The simplified form is 4 + 4i.
The simplified form is 4 + 4 i .

The simplified form is a complex number because complex numbers are closed under division.
The simplified form is a complex number because complex numbers are closed under division.

The simplified form is not a complex number because complex numbers are not closed under division.
The simplified form is not a complex number because complex numbers are not closed under division.

Answer 1

The correct statements are:

- The simplified form is 2 + 2i.
- The simplified form is 2 + 2 i .
- The simplified form is a complex number because complex numbers are closed under division.