Do HornworkZachary Stone Google Chrome httpswwwmat hemeworkl

Do Hornwork-Zachary Stone Google Chrome https/www.mat hemeworklde 3944864968 questionid = 1 Saflushedetru eacld-4 14903Acentenen-yes Alexander 1314-03 MW 1:00pm Fal 2016 Homework: Section 1.4 Save Score: 02 of 1 pt 3 of 21 (21 complete) \" Score: 91.43%, 19 2 of 21 pe 1.4.CV-5 Question Hep * Use the FOIL method to find the tems of the tollowing multiplication problem (4+40-13-4i Using the FOIl method, the product of the fist tome 12 te product of the outside torma io 2 and the prodact of the inside terms 4 The prodact of the last terms in tees of i s16wh simplifies to 28-47 last terms in temes of6 tich simoflifiesto 28-4 Enter your answer in the edit telds and then click Check Answer Clear All Check AIS 0e a.il..9

Solution

(4+4i) (3-4i)

first term = 4*3 = 12
outside term = 4*(-4i) = -16 i
inside term = 4i*(3) = 12 i
last term = 4i*(-4i) = -16 i^2

adding all:
12-16i + 12 i -16*i^2
= 12 - 4i + 16 (since i^2= -1)
= 28 - 4i