Question

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

Answer 1

Answer:

Step-by-step explanation:

(6-2i)(2-3i)=

we will use foil to multiply

-12-18i-4i+6(i^2)=

now remeber that (i^2)=-1

=12-22i-6=6-22i

Answer 2

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

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.