What is (1+i)^4+(1-i)^4 equal to, where i= -1 ?

Step-by-step solution

aligned & (1+i)^4+(1-i)^4= [(1+i)^2 ]^2+ [(1-i)^2 ]^2 & =(1-1+2 i)^2+(1-1-2 i)^2 & =(2 i)^2+(-2 i)^2 & =4 i^2+4 i^2=-4-4=-8 aligned