Answer
$2-4i$
Work Step by Step
(Recall, we must distribute the negative to everything in the second set of parenthesis.)
Adding the real terms together and the imaginary terms together, we obtain:
$(6-9i)-(4-5i)$
=$(6-9i)+(-4+5i)$
=$(6-4)+(-9i+5i)$
=$2-4i$