Question: conjugate(b) * I - conjugate(a) + conjugate(b*I+a)

Why does the following not get simplified?

simplify(conjugate(b) * I - conjugate(a) + conjugate(b*I+a));

It seems Maple does not know conjugation is linear, since the following

simplify(conjugate(b) * I                + conjugate(b*I  ));
simplify(                 - conjugate(a) + conjugate(    a));

do get simplified to 0.

The function evalc does simplify to 0, but it assumes my a and b are real, which they are not. 

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