Operations With Complex Numbers

This video looks at adding, subtracting, and multiplying complex numbers. It includes four examples.

[@dardex1753]

My man still liking comments. Thanks. Seems easier now.

[@missk9188]

This helped a lot. I was getting so frustrated because I could not understand the subject, but you really cleared it up for me. Thank you so much.

[@nicholaspena9624]

Thank you so much, missed a my algebra period and was so lost. But you really cleared things up, thanks!

[@mekhaiwarsaw4813]

THANK YOU MAN YOU ARE A LIFESAVER!!! MY TEST IS TOMORROW AND I COMPLETELY UNDERSTAND THIS NOW

[@monipoly100]

Square rut. anyways good job on the video 🖒

[@MartyBrandl]

We need to distribute the negative through on the second part.
It was -(1 - 5i), we could think of it as -1(1 - 5i),
That becomes -1 + 5i when we multiply each term by -1
I hope that helps! :-)

[@ArabianQuirkSA]

Why think of it as -1(1 - 5i) ?

[@Home-ro6cu]

This guy is a genius that said square rut instead of root so that people would comment about it and his video would get more attention from the algorithm

[@MartyBrandl]

Hahahaha! Something like that! 😂

[@neotix4323]

Thank you so much man my math professor couldn't teach this simple thing in hour but you did

[@donna-donna]

Thank you for showing all the steps as you did!!

[@EnderMalcolm]

THis helped me so much! I understand this now. Feel kinda dim, thinking back to how hard this was for me until now.

[@yahney-marie]

Thank you. I hope you know that even eight years later, your video is being used to help students understand Algebra II. Good wishes during this pandemic and everything else from Virginia!

[@notmynaam5489]

Awesome teacher! I loved the motivation at the end!!!!!

[@donjanaallgood4010]

Thanks so much, this was extremely helpful with my SAT prep

[@haydenbrown4422]

This was very helpful! Thank you!!
- an Algebra II student

[@natiacheishvili1210]

Who would have thought that this video would help me after 8 years

[@emily2271]

Very very helpful !!! The i seemed very scary when I first saw it on the psat. Thank you

[@saturnineporcupine5842]

Thanks, very clear and helpful.

[@hamzaabdirizak5646]

An amazing explanation beyond and above

[@seifomran]

thank you very much you are great !!

[@lillianmaeve1802]

This is so simplistic and helpful thank you so much :)

[@lilycordero3489]

Thank you, this was really helpful!

[@marcoscabellomoreno2445]

Nice video! Neatly explained, helps a lot.

[@crimwolf5216]

Thank you for writing everything out so I understand

[@lucasleroux706]

very clear, i don't have to watch another vid, nice, many thanks

[@armaan1457]

Thanks, man! You really helped me!

[@josiahbradley3575]

Thank you so much I learned so much your amazing and God sent . Have an amazing day

[@Sara-xu1vj]

thank u so much! this helped me a lot

[@kimmy7564]

thank you sooo much. It helped me a lot

[@h.m.a5960]

great video helped me a lot!!

[@AronOut]

Thank you!

[@evanscheck8283]

Great video

[@chankeanvaltiendaz3217]

super helpful!!

[@africankaleab360]

Really helped. Jesus loves yall. Not here to spread religion or force it, but to share a blessing. God bless

[@francispacaldo9876]

thanks for the vid, it was really helpful

[@jaylatrotter4677]

For anyone who is confused the negative I comes about when you multiply 1 I term with another. There's 2 is. So therefore it becomes i squared instead of just a single 1i

[@penguinoot5248]

Thank so much lifesaver

[@vortexgg509]

Ain’t now way bro hearting comments a whole ass decade later 💀

[@79mviews26]

You are the best

[@Lordsvessel979]

Thank you ❤😊😊

[@rulausama1934]

thank you its very helpfull

[@H33a]

Thank you

[@WestVision]

Well done

[@airihell]

THANKS

[@billybosco11]

thanks a lot

[@PapiYeti]

Thanks man this was very helpful keep it up!

[@user-co4vy3gi9f]

how did you get the 15i squared on the second problem

[@MartyBrandl]

When we distribute the 5i, we have 5i(3i) which would be 15i^2.
I hope that helps! 👍

[@gavinsutter1799]

Thanks bro

[@sciencenerd8326]

thnx a lot..

[@susanna09]

Thanks

[@Justanapple2008]

nice thanks

[@ramengaming3266]

Very helpful

[@jitnation8099]

Thank uuuuu!!!!!!!

[@hydra9254]

thanks my g

[@eshakweb4930]

nice one

[@erichawkland1887]

Now I can do it!

[@ArabianQuirkSA]

2:15 how did it become + 5i instead of minus 5i?

[@MartyBrandl]

-1 times -5i is +5i
negative times a negative is positive

[@ArabianQuirkSA]

@@MartyBrandl Realized that right after posting that comment 😅. Thanks for your help 🙏

[@phenomenon4810]

Thabks

[@hotkahhul8961]

that's the easiest lesson I studied in my entire life

[@ronaldpascual5636]

Nice

[@jeremy5740]

thanks i really learned a lot

[@ArabianQuirkSA]

For 4:58 why can’t we just add 6 + 8i together first?

[@MartyBrandl]

They aren't like terms so we can't add them.

[@weeowh509]

wow

[@79mviews26]

Better than newton 👍😂

[@j4kso]

bro my math teacher made us watch this

[@afzalsayed96]

Also watch complex numbers made simple
czcams.com/video/P-jW3Cd3yn4/video.html

[@LuvvVegas]

are u Canadian

[@MartyBrandl]

Close! I'm from Minnesota, USA! :-)

[@fav2323]

+Marty Brandl your root and about sounds rwally wierd

[@josueargueta3601]

hopefully you can get back to me before monday, but the way my teacher taught me is you would use distributive property and i did the first problem the way he taught us and got something different so idk who’s right...

[@MartyBrandl]

Hmm...walk me through what you did and we can see if we can figure it out?

[@josueargueta3601]

Marty Brandl since there are addition, subtraction, and multiplication, one one is solved differently correct?

[@josueargueta3601]

so for multiplication we would distribute the first number in the parentheses and then the second number ?

[@MartyBrandl]

@@josueargueta3601 Correct, each is a little different due to the different operations.
The first is just adding, so we can just combine like terms, ignoring the parentheses because they don't serve any purpose other than organization.
The distribution I believe you are referring to in a situation like this (a + bi)(a + bi) is often referred to as FOIL, but is basically just making sure to multiply each term in the first parentheses by each term in the second. 👍
I hope that's helpful!? Please let me know of further questions and I'll do my best to explain. You've got this! 🙂

[@josueargueta3601]

Marty Brandl thankk youu, makes more sense now. i was able to complete the assignment and now i just gotta turn it in. thanks again

[@ronaldpascual5636]

Nice accent

[@antiquarian1773]

square rut lmao

[@Amir_Almarzouq]

I got an add about me not understanding math and searching the web for math vids from 2006 💀💀💀
Edit:I will still use old vids these websites are just a scam

[@MartyBrandl]

Ooo...I don't like that ad. I assure you the math in this video is still perfectly good in 2021 and beyond. 😉

[@bustinbinden]

rut

[@M1ra.-.]

i have a crush on u

[@emaneldeib6284]

You do realize this video is from 11 years ago so he aged a lot

[@blackwhiteman4515]

Im gonna hopefully be a man i want in years more children well come here and watch this I don’t know but if I succeed im gonna show this comment in my biggest day probably

[@MartyBrandl]

You WILL succeed! There might be bumps along the way, but keep going! You can do it!! 👍

[@helpmeget1ksubswithnoconte4]

thanks this helps a lot and also STILL HEARTING COMMENTS 10 YEARS LATER?!!

[@vortexgg509]

He sure is 😐

[@DayanaChavez13]

Thank you!

[@user-wc1hp4lb3w]

Thank you