COMPLEX NUMBERS | How to Add, Subtract, Multiply and Divide Complex Numbers

Let's go over Complex Numbers!

Learn how to add complex numbers by combining like terms, subtract complex numbers by subtracting like terms, multiply complex numbers using the FOIL method, and divide complex numbers using complex conjugates.

Comment what other topics you'd like the A+ Tutor to review! New videos are uploaded every week.

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Timeline:
00:00 Intro
00:11 Definition of Complex Numbers
02:19 Adding Complex Numbers
04:48 Subtracting Complex Numbers
07:42 Multiplying Complex Numbers
10:29 Dividing Complex Numbers
14:44 Ending

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[TheAPlusTutor]

For the second example in Dividing Complex Numbers, the negative sign was cut off. The correct answer is -52 + 14i / 25.

[subalsakhadas]

The explaination was very calm and understandable regardless of a hurry one like most of the others

[curtisgiere]

Im 55 and going back to college. your lessons.. .. .. have helped me so much. You are very clear in your explanations. Thank you. Plus the added benefit of always being able to coming back to them

[vansf]

All you guys, including human best mathematicians, professors of mathematics at all schools will soon need re-educating

[latoyaetienne]

I have a question, I did the second example three times and I keep getting the result -52+14i/25. After I multiplied the 12i squared to (-1) I got -40 +14i -12 over 16 + 9 = -52 + 14i / What am I doing

[RadarVibes]

Very easy to understand! Thank you for the explanation!

[primuscliff]

Thanks tutor, you made it easy to understand. I don't know if you could please make a video on Integration?

[nanayaaadomaadoku-amponsah]

I had no idea about complex numbers but you made it simpler thanks..🤗

[rsxryzen]

Hey excuse me.
Example one of dividing complex numbers.
(8-5i)(8+5i) denominator*
8 multiply by 8 is 64
Shouldn't it be - 5 × 5?

[LuhuhuGahhw]

On subtracting, example no.1 it should be -3-8i ? Or I am mistaken?

[evertonkahari]

What's the software you using, better than my University

[kingkaush]

thanks alot for the well elaborated examples . may you be blessed

[SimonTeshale-if]

on the division part you said we change the sign of the complex numbers but our teacher told us to change the sign of the imaginary part not the whole complex

[yasminamin]

(a+bi) (c+di) =ac +adi+ bci <---- How ??? Shouldn't it be bic

[Dereck]

Your explanation was very good. I understood everything but one thing and that’s the subtraction. Would you group like terms together and then add them? Kinda confused on that

[quack_malard]

Thank you so so much. I’m a grade level ahead of my class and I’m really struggling. I have adhd, ocd, math dyslexia, and autism, so I definitely have a harder time learning. Thank you m

[centralpace]

You teach better than my actual math teacher :3

[mohammedali]

U forget that + 12i^2 became - ve (-12) then substract the answer will be -28+29i over 25

[ChideraKenneth-ks]

I understood it honestly your the best

[evzlen]

7:35 i don't understand how (-6i√2-6i√2) is 12i√2 why is it still √2