Find the following product and express the answer in standard form of a complex number.

Question

(6i)(3−5i) =

Answer 1

6i(3 - 5i)

Let us distribute the 6i to both the terms inside the parantheses.

So, now we have

6i(3) -6i(5i)

=6(3)(i) - 6(i)(5)(i)

= 18i -30i²

Since i²=-1, this now becomes

18i - 30(-1)

= 18i - (-30)

= 18i + 30

Answer 2

(6i)(3 - 5i)

(6i)(3) - (6i)(5i)

Simplify