kill(all)$

van=facebook.com/LearningCalculus$

f:1/(2-%i)^2 - 1/(2+%i)^2 = 8/25*%i;

a:first(lhs(f))=fullratsimp(first(lhs(f)));
b:second(lhs(f))=fullratsimp(second(lhs(f)));
c:rhs(f);

rhs(a)+rhs(b)=c;

fullratsimp(rhs(a)+rhs(b));

realpart(f);

imagpart(f);