Answer:
[tex]{31 - 12i}[/tex]
Step-by-step explanation:
When dealing with adding or subtracting imaginary(i) terms you can treat it like a variable and just combine like terms.
Solving:
[tex]\\\section*{}\[(15 - 5i) - (-16 + 7i)\]Distribute the negative sign:\[= 15 - 5i + 16 - 7i\]Combine like terms:\[= (15 + 16) + (-5i - 7i)\]\[= 31 - 12i\]Therefore, the difference is:\[\boxed{31 - 12i}\][/tex]