Question

Simplify 4/-2-2i please help

Answer 1

`(4)/(-2-2i)=(4:(-2))/((-2-2i):(-2))=(-2)/(1+i)=-(2)/(1+i)\cdot(1-i)/(1-i)\\\\=-(2(1-i))/((1+i)(1-i))=-(2(1+i))/(1^2-i^2)=-(2(1+i))/(1-(-1))=-(2(1+i))/(1+1)\\\\=-(2(1+i))/(2)=-(1+i)=-1-i`