Find the product of (3-2i).(5+7i), where i raise to power 2 is -1

Question

It is a troubling question which has proved a real bulwark to attempt or even solve correctly.

Answer 1

You foil this like all foils and get the following:

 

15 + 21i - 10i - 14i²

 

combine the terms after accounting for i² = -1

 

29+11i

 

 

All the best

 

Lori