Respuesta :

Remember the following rule for adding up two complex numbers:

[tex](a+bi)+(c+di)=(a+c)+(b+d)i[/tex]

The real parts of both numbers add up, the same applies for the imaginary parts.

Then:

[tex]\begin{gathered} (6+4i)+(3-3i)=(6+3)+(4-3)i \\ \\ \therefore(6+4i)+(3-3i)=9+i \end{gathered}[/tex]

Therefore, the correct choice is option B) 9+i.