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To Multiply Two Co Mplex Numbers, Use the Distributive Property, or the FOIL Method, Just as You Do When Multiplying Real Numbers or

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

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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: .