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Add and Subtract Rational Expressions Step by Step 

Brian McLogan
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👉In this video I will show you how to add and subtract rational expressions with a common denominator and by finding the common denominator.
Timestamps:
0:00 Intro
0:35 Example #1
1:42 Example #2
6:06 Example #3
10:11 Example #4
Corrections:
1:05 I did not distribute the negative to the 2 should be a -2
8:52 Should be written as 2x^2 not 2x
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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: www.freemathvideos.com/about-me/
#rationalexpressions #Brianmclogan #mathhelp

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6 июл 2024

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Комментарии : 176   
@12397bmw
@12397bmw 3 года назад
I think you made a minor mistake with the first one when you multiply the negative with x and +2 wouldn’t the end result be x+1-x-2?
@nihan420
@nihan420 3 года назад
Yeah, as x+1-(x+2) is the same as x+1-1(x+2) and if you take away the parentheses + becomes - , resulting into x+1-x-2
@meseretfantahun8962
@meseretfantahun8962 3 года назад
The result is -1/x-1
@JL_Minty
@JL_Minty 3 года назад
So I am not the only one who noticed it. Wohoooooooooooooooooooooooooo
@happywe2029
@happywe2029 3 года назад
Seeing Im not the only who noticed it makes me think my math is improving.
@almerodaffdaffa7641
@almerodaffdaffa7641 2 года назад
@@happywe2029 hahahhahahahahaa, keep up the good work.
@flyboy2771
@flyboy2771 2 года назад
I don’t think our maths teachers explain it badly, it just that in a class environment, it’s hard to keep focused and motivated
@eliza8994
@eliza8994 3 года назад
You can explain math so good that I understand it better. Been watching you since I was in High School and now that I’m in college, I recommended you to my sister and so far she’s enjoying math bc of your tutorials
@zufaxplayz1984
@zufaxplayz1984 2 года назад
Same haha 😅 but I'm just a highschool and I have a elementary sister and this is their lesson she kinda enjoy watching this guy teaching math too
@johnnjuguna163
@johnnjuguna163 Год назад
When I saw that which looked to me a mistake, I paused the video and came to the comment section to find out if anybody else noticed that. Luckily, your comment came top.
@yaseenwmemmes5886
@yaseenwmemmes5886 9 месяцев назад
he is tooo complicated
@reyn_arts7641
@reyn_arts7641 3 года назад
I wish I have him as my teacher. He saves my grade and explain lessons which I understand easily
@ableballon8
@ableballon8 2 года назад
Hello Brian, thanks a lot for making this video. When you factored out -2x^2 + 3x - 1 with the negative sign, you forgot to write the ^2 on 2x. You wrote -(2x + 3x -1). It’s -(2x^2+3x-1).
@MinecraftAZZBOY
@MinecraftAZZBOY Год назад
You explain the steps a lot better than my professor. Everything that is confusing, you make it seem really easy to understand.
@Chris-sb4pb
@Chris-sb4pb 3 года назад
U don’t know how much u save my grades man , I have a quiz on Friday worth 60 percent of my grades and this is Really helping
@AwakenedRookie
@AwakenedRookie 3 года назад
Did ya pass
@z_hr__
@z_hr__ 2 года назад
howd it go
@sheenenaje5038
@sheenenaje5038 9 месяцев назад
Ik I'm late but howd it go?
@Astroftp
@Astroftp 2 месяца назад
i remember them days when it was only 60 percent now it’s 80 😢
@Astroftp
@Astroftp 2 месяца назад
@@sheenenaje5038he probably graduated already lol
@maliceissuperfuckingcool6973
@maliceissuperfuckingcool6973 3 года назад
You look scarily like my doctor- kind of freaking me out but your really helping me with my math so thank you!
@fett1184
@fett1184 2 года назад
I have been taking classes online for college and you have helped me get through so many issues!!!! PLEASE DONT EVER STOP DOING YOUR VIDEOS
@yoursistersheatingpad
@yoursistersheatingpad 3 месяца назад
How’s life now
@GimbertLane
@GimbertLane 3 года назад
I think you should have subtracted 2 in the first example
@noteman316
@noteman316 2 месяца назад
You are single-handedly saving me from failing algebra 2 honors
@anica1023
@anica1023 2 года назад
So do you have to factor out the numerator for the final answer if possible or is it okay if you don't?
@KosherPorky
@KosherPorky 2 года назад
Was really confused on how to do these, thanks
@hamisizowange173
@hamisizowange173 3 года назад
get this guy to a million subs, he saved my life so many times
@graedencolhoun
@graedencolhoun 2 года назад
🙏 Thank You, I’m so greatful for this channel
@GummiesAJ
@GummiesAJ 3 года назад
ugh thank you so much this was a really tricky concept for me but you make things so much easier
@alexsusgerardo3265
@alexsusgerardo3265 3 года назад
What if you have a rational expression with no variables in the denominator like this one 3x/8 +y/8? in this case I have a common denominator already however am uncertain how to solve.
@imnottjonny
@imnottjonny 3 года назад
question for the first problem you did. When you distributed you didn't put a negative for the 2 so -x-2. why is that I'm a bit confused there
@julietgallant6838
@julietgallant6838 10 месяцев назад
I’m learning more from you than my Math professor.
@jamesthompson1868
@jamesthompson1868 3 года назад
this man is my savior
@vinacawitan9861
@vinacawitan9861 3 года назад
Thank you very much sir...❤
@EazyE_
@EazyE_ 2 года назад
Ty for helping! I’m pretty good at math but I rarely do I get stuck sometimes. My teacher sometimes doesn’t explain things well/properly. Ty for helping.🙏🏼
@jeremymagz
@jeremymagz 3 года назад
For the third problem, how did you come up with the denominator (x+2)(x+1)? Can you please explain how you "factored" to come up with that LCD?
@daviddelarosa8036
@daviddelarosa8036 Год назад
(x+2)(x+1) adds to 3 and multiplys to two
@sammeh5662
@sammeh5662 3 года назад
Thank you very much!
@rachellegallo5201
@rachellegallo5201 3 года назад
I think the +2 in the 1st equation should be -2 if we multiply - to +..
@AnuSharma-lg2kw
@AnuSharma-lg2kw 3 года назад
I was looking for someone for the same response
@pitoumil7447
@pitoumil7447 3 года назад
me too
@hodayaifrach9637
@hodayaifrach9637 Год назад
@@AnuSharma-lg2kw same
@evelyncendana6421
@evelyncendana6421 2 года назад
Thank you so much, now I understand
@Rain_fawn
@Rain_fawn Месяц назад
3 years later this man is still saving us algebra 2 students (my exams in 20 minutes kill me)
@mklh.m8554
@mklh.m8554 Год назад
Gosh, I couldn't help but watch this. I need to learn to solve these rational equations and inequalities for my upcoming midterm.
@tuffbear7603
@tuffbear7603 3 года назад
Thank you!!!!
@lexeighflowers7315
@lexeighflowers7315 Год назад
Thanks a lot!
@cthulhujohansen4192
@cthulhujohansen4192 3 года назад
Where do you teach at I want to go there
@Honeybunchzyla
@Honeybunchzyla 2 года назад
Thank you! Because i have homework about add and sub and it worked
@fraternoe2771
@fraternoe2771 Год назад
1:24; shouldn’t the 2 become a negative?
@eyobelamanuel9312
@eyobelamanuel9312 3 года назад
I grew up watching this guy lol
@holaharold5854
@holaharold5854 3 года назад
Hello Im looking for a vid for Compund inequality
@DawnSmithsIMTools
@DawnSmithsIMTools 2 года назад
Hello. The answer for the problem m-3n/6m^3n - m+3n/6m^3n is -1/m^3. I don't understand how to get to that answer. Can you explain it to me? Thanks.
@Recklessly913
@Recklessly913 Год назад
Can you try solving subtraction of function with different denominators sign
@hughmanatee7626
@hughmanatee7626 2 года назад
I'm convinced it's better to just multiply the denominators and simplify from there. LCD just isn't worth it when it comes to complex rational expressions. You'll get the same end result (remember to simplify) and suffer less of a headache.
@milanpatels
@milanpatels Год назад
Hello there, I am bit confused with 3rd Question - After you found common denominator x + 1, x +2, why did you not multiply Numerator 5x - 1 with x + 2, like you did on Right side of equation with 2x ?
@matthewosto8851
@matthewosto8851 Год назад
because that one already had (x+1) (x+2) rather the rational expression with 2x only had one of them so you need to have both.
@julietgallant6838
@julietgallant6838 10 месяцев назад
Because what it needs is only x+ 1 on the right side to get a common denominator. The left has a complete set (x+2) (x+1) so, you can leave it as it is.
@astromancy2799
@astromancy2799 Год назад
7:15 i have been looking for that explanation ❤
@Ahtohallan.
@Ahtohallan. 3 года назад
Thank you habibi
@hodayaifrach9637
@hodayaifrach9637 Год назад
thank you very much, this was helpful
@brianmclogan
@brianmclogan Год назад
You are very welcome!!
@TalksOfLife1
@TalksOfLife1 3 года назад
This guy must like his RU-vid students better than his actual students. We aren’t disrupting him every 2 seconds. I feel what teachers have to go through even though I’m not an adult yet Edit: nvm he’s probably not a teacher to schools. Idk tho his whiteboard do be seeming legit
@MarcleYTClashRoyale
@MarcleYTClashRoyale 3 года назад
He is a teacher. Look at his older videos, and he also showed some pictures of his classrooms and things he does.
@pillow1557
@pillow1557 2 года назад
He's a teacher You can sometimes hear students asking him some questions
@HeliosKapiro
@HeliosKapiro 3 года назад
Confidence 👏🏻
@Lenzprofile
@Lenzprofile 7 месяцев назад
Organic Chemistry Tutor + Brian McLogan = Math is easy
@jazzdini
@jazzdini 2 года назад
Brian always carrying me in math 😤
@Erenplsgiveitback
@Erenplsgiveitback 3 года назад
God damn,I am a filipino but I understand you more than my filipino teacher.
@Dereck27
@Dereck27 2 года назад
For the third one with the trinomial, why didn’t you distribute the 5x-1 with the two factors of the trinomial?
@Dereck27
@Dereck27 2 года назад
OHHHHH BECAUSE THEY CANCEL NVM
@jorgeraymason
@jorgeraymason 2 года назад
I’m wondering the same thing
@KayDejaVu
@KayDejaVu 2 года назад
@9:20 5x-1-2xsquared-2x becomes 3x-2xsquared-1/. Why can we subtract to get x? (3x-2xsqu = x)
@codewithsheikh2805
@codewithsheikh2805 2 года назад
You have to multiply constant of a ax^2 to the last terms and then try to split the middle term of quadratic equations ax^2 + bx + c to the "c" which is in this case is 2
@spencerdavegaming9389
@spencerdavegaming9389 2 года назад
Oh MY GOD IM SO THANKFULL YOU DID NO. 4 IKNOW THIS VIDEO IS A LONG TIME AGO BUT I AM SO THANKFUL THAT I HAVE FOUND A COMPELTE REPLICA OF OUR MATH QUESTION. THE NO.4. IVE BEEN SEARCHING FOR HOURS ON HOW TO SOLVE A QUESTION THAT IS LIKE THE NO.4 AND HERE IT IS .
@brianmclogan
@brianmclogan 2 года назад
Awesome!! So happy to be able to help!!
@spencerdavegaming9389
@spencerdavegaming9389 2 года назад
@@brianmclogan Oh my god did Bryan Mcloagan just replied to me. Oh my god im a huge fan thank you so much I really like your videos 😁😁😁
@spencerdavegaming9389
@spencerdavegaming9389 2 года назад
@@brianmclogan I thougt youd never reply cause this vid ilwas long ago but arggghhhh you did ohh im so happy
@spencerdavegaming9389
@spencerdavegaming9389 2 года назад
@@brianmclogan by the way can you flex my country Im A Proud FILIPINO
@spencerdavegaming9389
@spencerdavegaming9389 2 года назад
@@brianmclogan Am I the only one you replied with your vid oh my god I really cant belive this is happening
@ClappOnUpp
@ClappOnUpp 9 месяцев назад
Did anyone else notice in the first one he didnt end up changing the +2 to a -2 immediately after point it out lo. I think the answer is -1/x-1 I'm sure that can be really confusing to someone trying to understand and they don't understand what to do from the very first example.
@BroWhat00000
@BroWhat00000 3 года назад
Nice
@g1an994
@g1an994 Год назад
You explained it well but i still can't understand number 3 like how did it turn the 5 to -2x to 3x
@Izzy23485
@Izzy23485 2 года назад
So helpful ☺
@brianmclogan
@brianmclogan 2 года назад
Happy to help
@Izzy23485
@Izzy23485 2 года назад
@@brianmclogan thank you 😊
@BABYOLOLNone
@BABYOLOLNone 3 года назад
I have to thank you, thanks to you I was able to pass my Algebra EOC😌🙏 Thank you a lot
@darkrai8142
@darkrai8142 2 года назад
Woah thank u sir it really help my grade 8 kiddo
@codingarcadio1517
@codingarcadio1517 11 месяцев назад
Hello Brian: You forgot to write the exponent of 2 on the first term when you factored out the negative sign -> 8:51 to 9:00.
@user-L.l.l.ll.
@user-L.l.l.ll. 4 месяца назад
how do you factor x squared+7x+6 into (x+6) (x+1) ?????? helpp
@brianmclogan
@brianmclogan 4 месяца назад
Multiply it out
@jonevans7653
@jonevans7653 4 месяца назад
You misspelled pain
@yougotmynamewrong2899
@yougotmynamewrong2899 3 года назад
11:33 I'm sorry but where did that 2x came from???
@vrajgandhi1953
@vrajgandhi1953 2 года назад
Bro, how do you miss add 1 and -2
@gravsson4472
@gravsson4472 3 года назад
Ah yes, when you don't understand from online school but have a unit exam in 3 hours
@garetholesco
@garetholesco 3 года назад
Ser for number one positive 2 should be negative because we distributed - to x+1
@roronoa3112
@roronoa3112 Год назад
The denominator in the final answer of number four can still be factored to (4x) (x+1) (x-1)
@user-eq4ej2qj9o
@user-eq4ej2qj9o 2 месяца назад
Man, your explanations are better than my teacher's but is -(x+2)= -x+2 I thought the product of a positive and a negative equals to a negative, right
@brodiematheny1640
@brodiematheny1640 2 года назад
Why you look like off brand johnny sins? I like yea cut G real inspiring
@dino8232
@dino8232 3 года назад
Thank you for posting. now covid in covid 19, studying math is super hard for me in grade 9 cause i cant understand them myself also theres no video call so i really want to thank you for making it this easy
@AidarosHassan
@AidarosHassan 3 года назад
Thanks you 3+4= 7 /12 40×30 =270 2+6 8/12
@kfjfkeofitorhf9520
@kfjfkeofitorhf9520 Год назад
3++4===7/12 40×30==1200 2++6===8/12
@joshharris2365
@joshharris2365 Год назад
Sir, if only you knew how clutch you were
@brianmclogan
@brianmclogan Год назад
So happy to help!!!
@HELLO-hq1ec
@HELLO-hq1ec 3 года назад
First view❤️❤️
@kylaporter8961
@kylaporter8961 3 года назад
idek what it is but when you explain math it like 35 times easier 😩😩
@Neffins
@Neffins 3 года назад
9:09 shouldn't that be -(2x^2 - 3x + 1) there? Otherwise i'm not seeing where the square goes.
@kuletkulet4990
@kuletkulet4990 3 года назад
from -2x^2 +3x -1 to -(2x^2 -3x +1) just right
@Neffins
@Neffins 3 года назад
@@kuletkulet4990 It's not right, there is no square, only 2x.
@gigimakesmoney
@gigimakesmoney 5 месяцев назад
bruh I just watched tons of videos and I actually understood this 😭
@jonevans7653
@jonevans7653 4 месяца назад
You understood?
@gigimakesmoney
@gigimakesmoney 4 месяца назад
@@jonevans7653 i got an 88 on the test i just took so i think so
@erisu8652
@erisu8652 2 года назад
ily
@Abuseif85
@Abuseif85 2 года назад
The final result of the first example should be -1/x-1 You forgot to distribute the minus
@Alexa-qt9fo
@Alexa-qt9fo 3 года назад
whoo it’s 3:30 am and i have a test in 4 hours
@Alexa-qt9fo
@Alexa-qt9fo 3 года назад
I GOT A 100
@bowbookbike
@bowbookbike 3 года назад
@@Alexa-qt9fo Good job
@bowbookbike
@bowbookbike 3 года назад
I hope I do
@notmenotme281
@notmenotme281 Год назад
@@Alexa-qt9fo i have a test next period ill see of i pass 😭
@frankiecordero8079
@frankiecordero8079 3 года назад
♥️
@sahayamichael4801
@sahayamichael4801 3 года назад
Where are you from.
@sahayamichael4801
@sahayamichael4801 3 года назад
California.
@thelaseringtrespiker4006
@thelaseringtrespiker4006 2 года назад
-1/x-1
@aniruddhxie2k215
@aniruddhxie2k215 3 года назад
I want to ask you a question If for example x/y+y/x = p/q +q/p Then prove that x/y = p/q , q/p
@kfjfkeofitorhf9520
@kfjfkeofitorhf9520 Год назад
X^2/Y^2===p^2/q^2
@ten8347
@ten8347 Год назад
Wouldn’t the first problem be -1/x-1 ? B/c you’re distributing the negative to the (x+2).
@muhammadmahdi2930
@muhammadmahdi2930 3 года назад
yo come to the UAE. please
@sahayamichael4801
@sahayamichael4801 3 года назад
Sir
@bigbeans9875
@bigbeans9875 Год назад
Brian McLogan
@brianmclogan
@brianmclogan Год назад
Hi
@possum2620
@possum2620 3 года назад
"Give the x and y intercept of 4x - 2y = 16" Not graphed.
@eethanni
@eethanni 3 года назад
for x: just substitute y=0 for y: substitute x=0
@tariqmusleh7960
@tariqmusleh7960 2 года назад
1:31 when you distributed -1 you should've changed the sign for 2
@tyla2crazy863
@tyla2crazy863 2 года назад
So what would the right answer look like for that equation?
@tariqmusleh7960
@tariqmusleh7960 2 года назад
@@tyla2crazy863 if am not wrong it should be 0 over x
@user-nz3dz4uu1b
@user-nz3dz4uu1b 3 года назад
مرحبا اتمنئ ان تكون الفيديوهات مترجمة للغة العربية 💔
@ziadali9969
@ziadali9969 Год назад
What i thought that u are a tennis couch😂
@nate_marchuk8882
@nate_marchuk8882 3 года назад
i literally have a test on this today
@dill6827
@dill6827 3 года назад
Good Luck🍀🍀 Do ur best👍
@frankiecordero8079
@frankiecordero8079 3 года назад
it's gonna be helpful. prayers for you❤️
@nate_marchuk8882
@nate_marchuk8882 3 года назад
i ended up doing good and upping my final grade
@awesome6486
@awesome6486 2 года назад
cant see the board you are blocking it
@astromancy2799
@astromancy2799 Год назад
i’m not gonna lie. multiplying and dividing rational expressions are way easier and convenient for me than adding and subtracting them. finding lcd is my major weakness 😂
@bowbookbike
@bowbookbike 3 года назад
Good video but ANNOYING ads.
@jinelyn4484
@jinelyn4484 Год назад
1st example????
@brianmclogan
@brianmclogan Год назад
Yes I made a mistake, should be timestamped
@JuniorrMVS
@JuniorrMVS Год назад
what?
@maxkowtko5855
@maxkowtko5855 3 года назад
I'm seriously not understanding this. I don't know why it's just not sticking.
@XJLBP
@XJLBP 2 года назад
How did this: 2+2 3×8 To this😭😭😭😭:
@marshalt1129
@marshalt1129 3 года назад
u r wrong its x+1 -x-2
@Mk1_Moe
@Mk1_Moe 2 года назад
YOU MESSED UP NO.1. COMMON MAN
@OliwiaDzido
@OliwiaDzido Месяц назад
Who's here in 2024
@jaedenvogt4274
@jaedenvogt4274 3 года назад
Are his students in person? Shouldn't he wear a mask?
@lauramclogan5106
@lauramclogan5106 3 года назад
Filmed after school with no students :)
@AnandKumar-uo1eo
@AnandKumar-uo1eo Месяц назад
I don’t get itttt
@AnandKumar-uo1eo
@AnandKumar-uo1eo Месяц назад
Explain its to me
@xagratiuchi9300
@xagratiuchi9300 2 года назад
i dont understand-
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