Question

Which of the following is equivalent to the complex number shown above?

The choices for the answer are :
i-4
i+4
-i-4
-i+4​

Answer 1

i-4

Explanation:

(i^2 - 16)

-------------------

i+4

Factor the numerator, noticing this is the difference of squares

(i-4)(i+4)

--------------

(i+4)

Cancel like terms

i-4