Question

Perform the indicated operation & simplify. Express the answer as a complex number. ( 6 − 7 i ) ( − 8 + 3 i ) =___

Answer 1

( 6 − 7 i ) ( − 8 + 3 i )

First FOIL:

( 6 − 7 i ) ( − 8 + 3 i )  = -48 + 18i + 56i -21i^2

Combine like terms

                                 = -48 + 74i -21i^2

Convert i^2 = -1

                                 = -48 + 74i -21(-1)

And simplify

                                 = -48 + 74i + 21

                                 = -27 + 74i