Explain how to multiply the complex #'s (3+2i) (4-i)

Multiply the numbers like you multiply binomials.

Multiply every term of the first binomial by every term of the second binomial.

Then combine like terms, and remember that i^2 = - 1.

(3 + 2i) (4 - i) =

= 12 - 3i + 8i - 2i^2

= 12 + 5i + 2

= 14 + 5i