Answer: -16i
Work Shown
(2-2i)*(4-4i)
= 2*(4-4i)-2i(4-4i)
= 2*4+2*(-4i)-2i*4-2i(-4i)
= 8-8i-8i+8i^2
= 8-8i-8i+8(-1)
= 8-8i-8i-8
= 0-16i
= -16i
Therefore, (2-2i)*(4-4i) = -16i where i = sqrt(-1) and i^2 = -1
I used the distributive property on the 1st and 2nd steps.