Pre-Calculus-How to divide complex numbers by multiply by the conjugate of denominator, (3-i)/(2+i)

The video tutorial explains how to divide complex numbers by using the conjugate to eliminate the imaginary part from the denominator. It demonstrates the process through the FOIL method, leading to the simplification of the expression. The tutorial concludes with dividing the simplified expression by a common factor.

What is the result of the multiplication of the complex numbers in the example?

How do you simplify the final result of the division of complex numbers?