To simplify the expression (9-7i) - (3-4i), we'll use the distributive property of complex numbers.
First, let's distribute the negative sign inside the parentheses:
9 - 7i - 3 + 4i
Next, we'll combine the real parts (numbers without the "i") and the imaginary parts (numbers with the "i") separately:
(9 - 3) + (-7i + 4i)
This simplifies to:
6 - 3i
So, the simplified form of (9-7i) - (3-4i) is 6 - 3i.