Answer:
-1+i
Explanation:
We multiply by the complex conjugate (a+bi) has a complex conjugate a-bi
Remember that i^2 = -1
4 -2+2i
--------- * -----------
-2-2i -2 +2i
4 * (-2+2i ) = -8 +8i
(-2-2i) * (-2+2i ) = 4 -4i + 4i -4i^2 = 4 -4(-1) = 4+4 = 8
Replacing this into the fraction
-8+8i
-----------
8
Factor out and 8
8(-1+i)
-----------
8
Cancel
-1+i