Question

Which expression is equivalent to (6-2i)(2-3i)?

A. 6+22i
C.
18-22
B.
18+ 22i
D. 6-22i

Answer 1

Answer:To multiply two complex numbers, use the F.O.I.L method.

Explanation:

So we have (6 - 2i)(2 - 3i).

So we have 12 - 18i - 4i + 6i².

Combining like terms, we have 12 - 22i + 6i².

Now, remember that i² is equal to -1 so we have

12 - 22i + 6(-1) or 12 - 22i - 6 or 6 - 22i.

So our answer is 6 - 22i.