Answer:
-14/25
Step-by-step explanation:
Remember i^2 = -1. Otherwise, the math is the same as for any polynomials.
[tex]\dfrac{3-4i}{3+4i}+\dfrac{3+4i}{3-4i}=\dfrac{(3-4i)(3-4i)+(3+4i)(3+4i)}{(3+4i)(3-4i)}\\\\=\dfrac{(9-24i-16)+(9+24i-16)}{9+16}=\boxed{-\dfrac{14}{25}}[/tex]
