Question
To multiply two co mplex numbers, use the Distributive Property, or the FOIL method, just as you do when multiplying real numbers or algebraic expressions. A) 4i(5-3i) B) (1+4i)(2-7i) C) (2-9i)^2
Solution
4.1
(151 Votes)
Harvey
Elite ยท Tutor for 8 years
Answer
### A)
### B)
### C)
Explanation
## Step 1: Distribute 4i in A### We distribute
to both terms inside the parenthesis:
. Since
, we have
.## Step 2: FOIL method for B### We use the FOIL method to expand the expression:
.## Step 3: Expand the square in C### We expand the square:
.