Question

I'll give medals! Help please! :(
Adam is roaming the streets of New York when he hears a girl scream! He searches the area and noticed the terms 8 and 6i painted on 4 random doors. The only way to rescue the lady is to determine which door to enter. He starts by adding the 2 terms together to create a complex number. He then finds it complex conjugate and multiplies that by the original number. Which door should he enter to save the woman?
Door 1- b/c the solution is the trinomial 64-48i-36i^2
Door 2- b/c the solution is the trinomial 64-36i^2
Door #3- b/c the solution is the binomial 100-96i