Ask your own question, for FREE!
Mathematics 7 Online
OpenStudy (anonymous):

WILL FAN AND MEDAL Multiply the following complex numbers: (7 + 2i)(2 + 3i) A. 8 + 25i B. 20 - 25i C. 20 + 25i D. 8 - 25i

OpenStudy (liamschumm):

Well, let us FOIL.

OpenStudy (liamschumm):

First - Outer, Inner-Last.

OpenStudy (liamschumm):

Do you remember how to do that?

OpenStudy (liamschumm):

Well, first-inner.

OpenStudy (liamschumm):

7*2 + 2i*2.

OpenStudy (liamschumm):

We are multiplying the terms in the first number by the first term in the second number.

OpenStudy (liamschumm):

So then we do

OpenStudy (liamschumm):

+7*3i + 2i*3i.

OpenStudy (anonymous):

im pretty sure its A, but im not positive

OpenStudy (liamschumm):

That is an easy method.

OpenStudy (liamschumm):

But foiling, I just realized, is a bit different.

OpenStudy (liamschumm):

You multiply the first by the first in the other, and the second by the second in the other, and the first by the last in the other, and the last by the first in the other.

OpenStudy (liamschumm):

http://en.wikipedia.org/wiki/FOIL_method

OpenStudy (liamschumm):

Both methods work.

OpenStudy (liamschumm):

A is correct.

OpenStudy (liamschumm):

Good job! Please give me a medal if I helped! :)

OpenStudy (liamschumm):

Have a nice day!

OpenStudy (anonymous):

aight thank you

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!