Add and Subtract Rational Expressions Step by Step

👉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

Пікірлер: 176

  • @12397bmw
    @12397bmw3 жыл бұрын

    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 жыл бұрын

    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 жыл бұрын

    The result is -1/x-1

  • @JL_Minty

    @JL_Minty

    3 жыл бұрын

    So I am not the only one who noticed it. Wohoooooooooooooooooooooooooo

  • @happywe2029

    @happywe2029

    3 жыл бұрын

    Seeing Im not the only who noticed it makes me think my math is improving.

  • @almerodaffdaffa7641

    @almerodaffdaffa7641

    2 жыл бұрын

    @@happywe2029 hahahhahahahahaa, keep up the good work.

  • @flyboy2771
    @flyboy27712 жыл бұрын

    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
    @eliza89943 жыл бұрын

    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 жыл бұрын

    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

    Жыл бұрын

    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

    10 ай бұрын

    he is tooo complicated

  • @reyn_arts7641
    @reyn_arts76413 жыл бұрын

    I wish I have him as my teacher. He saves my grade and explain lessons which I understand easily

  • @noteman316
    @noteman3162 ай бұрын

    You are single-handedly saving me from failing algebra 2 honors

  • @ableballon8
    @ableballon83 жыл бұрын

    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 Жыл бұрын

    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-sb4pb3 жыл бұрын

    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 жыл бұрын

    Did ya pass

  • @z_hr__

    @z_hr__

    2 жыл бұрын

    howd it go

  • @sheenenaje5038

    @sheenenaje5038

    10 ай бұрын

    Ik I'm late but howd it go?

  • @Astroftp

    @Astroftp

    3 ай бұрын

    i remember them days when it was only 60 percent now it’s 80 😢

  • @Astroftp

    @Astroftp

    3 ай бұрын

    @@sheenenaje5038he probably graduated already lol

  • @maliceissuperfuckingcool6973
    @maliceissuperfuckingcool69733 жыл бұрын

    You look scarily like my doctor- kind of freaking me out but your really helping me with my math so thank you!

  • @fett1184
    @fett11842 жыл бұрын

    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 ай бұрын

    How’s life now

  • @GimbertLane
    @GimbertLane3 жыл бұрын

    I think you should have subtracted 2 in the first example

  • @hamisizowange173
    @hamisizowange1733 жыл бұрын

    get this guy to a million subs, he saved my life so many times

  • @KosherPorky
    @KosherPorky2 жыл бұрын

    Was really confused on how to do these, thanks

  • @GummiesAJ
    @GummiesAJ3 жыл бұрын

    ugh thank you so much this was a really tricky concept for me but you make things so much easier

  • @graedencolhoun
    @graedencolhoun2 жыл бұрын

    🙏 Thank You, I’m so greatful for this channel

  • @rachellegallo5201
    @rachellegallo52013 жыл бұрын

    I think the +2 in the 1st equation should be -2 if we multiply - to +..

  • @AnuSharma-lg2kw

    @AnuSharma-lg2kw

    3 жыл бұрын

    I was looking for someone for the same response

  • @pitoumil7447

    @pitoumil7447

    3 жыл бұрын

    me too

  • @hodayaifrach9637

    @hodayaifrach9637

    Жыл бұрын

    @@AnuSharma-lg2kw same

  • @Rain_fawn
    @Rain_fawn2 ай бұрын

    3 years later this man is still saving us algebra 2 students (my exams in 20 minutes kill me)

  • @EazyE_
    @EazyE_2 жыл бұрын

    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.🙏🏼

  • @jamesthompson1868
    @jamesthompson18683 жыл бұрын

    this man is my savior

  • @sammeh5662
    @sammeh56623 жыл бұрын

    Thank you very much!

  • @evelyncendana6421
    @evelyncendana64212 жыл бұрын

    Thank you so much, now I understand

  • @julietgallant6838
    @julietgallant683811 ай бұрын

    I’m learning more from you than my Math professor.

  • @vinacawitan9861
    @vinacawitan98613 жыл бұрын

    Thank you very much sir...❤

  • @tuffbear7603
    @tuffbear76033 жыл бұрын

    Thank you!!!!

  • @mklh.m8554
    @mklh.m8554 Жыл бұрын

    Gosh, I couldn't help but watch this. I need to learn to solve these rational equations and inequalities for my upcoming midterm.

  • @hughmanatee7626
    @hughmanatee76263 жыл бұрын

    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.

  • @lexeighflowers7315
    @lexeighflowers7315 Жыл бұрын

    Thanks a lot!

  • @Honeybunchzyla
    @Honeybunchzyla2 жыл бұрын

    Thank you! Because i have homework about add and sub and it worked

  • @ClappOnUpp
    @ClappOnUpp10 ай бұрын

    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.

  • @Ahtohallan.
    @Ahtohallan.3 жыл бұрын

    Thank you habibi

  • @eyobelamanuel9312
    @eyobelamanuel93123 жыл бұрын

    I grew up watching this guy lol

  • @anica1023
    @anica10232 жыл бұрын

    So do you have to factor out the numerator for the final answer if possible or is it okay if you don't?

  • @astromancy2799
    @astromancy2799 Жыл бұрын

    7:15 i have been looking for that explanation ❤

  • @hodayaifrach9637
    @hodayaifrach9637 Жыл бұрын

    thank you very much, this was helpful

  • @brianmclogan

    @brianmclogan

    Жыл бұрын

    You are very welcome!!

  • @brodiematheny1640
    @brodiematheny16402 жыл бұрын

    Why you look like off brand johnny sins? I like yea cut G real inspiring

  • @imnottjonny
    @imnottjonny3 жыл бұрын

    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

  • @Recklessly913
    @Recklessly913 Жыл бұрын

    Can you try solving subtraction of function with different denominators sign

  • @TalksOfLife1
    @TalksOfLife13 жыл бұрын

    This guy must like his KZread 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 жыл бұрын

    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 жыл бұрын

    He's a teacher You can sometimes hear students asking him some questions

  • @Lenzprofile
    @Lenzprofile8 ай бұрын

    Organic Chemistry Tutor + Brian McLogan = Math is easy

  • @HeliosKapiro
    @HeliosKapiro3 жыл бұрын

    Confidence 👏🏻

  • @spencerdavegaming9389
    @spencerdavegaming93892 жыл бұрын

    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 жыл бұрын

    Awesome!! So happy to be able to help!!

  • @spencerdavegaming9389

    @spencerdavegaming9389

    2 жыл бұрын

    @@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 жыл бұрын

    @@brianmclogan I thougt youd never reply cause this vid ilwas long ago but arggghhhh you did ohh im so happy

  • @spencerdavegaming9389

    @spencerdavegaming9389

    2 жыл бұрын

    @@brianmclogan by the way can you flex my country Im A Proud FILIPINO

  • @spencerdavegaming9389

    @spencerdavegaming9389

    2 жыл бұрын

    @@brianmclogan Am I the only one you replied with your vid oh my god I really cant belive this is happening

  • @alexsusgerardo3265
    @alexsusgerardo32653 жыл бұрын

    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.

  • @Erenplsgiveitback
    @Erenplsgiveitback3 жыл бұрын

    God damn,I am a filipino but I understand you more than my filipino teacher.

  • @jazzdini
    @jazzdini2 жыл бұрын

    Brian always carrying me in math 😤

  • @jeremymagz
    @jeremymagz3 жыл бұрын

    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

    Жыл бұрын

    (x+2)(x+1) adds to 3 and multiplys to two

  • @BABYOLOLNone
    @BABYOLOLNone3 жыл бұрын

    I have to thank you, thanks to you I was able to pass my Algebra EOC😌🙏 Thank you a lot

  • @user-eq4ej2qj9o
    @user-eq4ej2qj9o3 ай бұрын

    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

  • @milanpatels
    @milanpatels2 жыл бұрын

    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

    Жыл бұрын

    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

    11 ай бұрын

    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.

  • @BroWhat00000
    @BroWhat000003 жыл бұрын

    Nice

  • @Izzy23485
    @Izzy234852 жыл бұрын

    So helpful ☺

  • @brianmclogan

    @brianmclogan

    2 жыл бұрын

    Happy to help

  • @Izzy23485

    @Izzy23485

    2 жыл бұрын

    @@brianmclogan thank you 😊

  • @dino8232
    @dino82323 жыл бұрын

    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

  • @roronoa3112
    @roronoa3112 Жыл бұрын

    The denominator in the final answer of number four can still be factored to (4x) (x+1) (x-1)

  • @KayDejaVu
    @KayDejaVu2 жыл бұрын

    @9:20 5x-1-2xsquared-2x becomes 3x-2xsquared-1/. Why can we subtract to get x? (3x-2xsqu = x)

  • @codewithsheikh2805

    @codewithsheikh2805

    2 жыл бұрын

    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

  • @darkrai8142
    @darkrai81422 жыл бұрын

    Woah thank u sir it really help my grade 8 kiddo

  • @DawnSmithsIMTools
    @DawnSmithsIMTools2 жыл бұрын

    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.

  • @holaharold5854
    @holaharold58543 жыл бұрын

    Hello Im looking for a vid for Compund inequality

  • @codingarcadio1517
    @codingarcadio1517 Жыл бұрын

    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.

  • @gravsson4472
    @gravsson44723 жыл бұрын

    Ah yes, when you don't understand from online school but have a unit exam in 3 hours

  • @garetholesco
    @garetholesco3 жыл бұрын

    Ser for number one positive 2 should be negative because we distributed - to x+1

  • @fraternoe2771
    @fraternoe2771 Жыл бұрын

    1:24; shouldn’t the 2 become a negative?

  • @cthulhujohansen4192
    @cthulhujohansen41923 жыл бұрын

    Where do you teach at I want to go there

  • @Dereck27
    @Dereck272 жыл бұрын

    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 жыл бұрын

    OHHHHH BECAUSE THEY CANCEL NVM

  • @jorgeraymason

    @jorgeraymason

    2 жыл бұрын

    I’m wondering the same thing

  • @g1an994
    @g1an994 Жыл бұрын

    You explained it well but i still can't understand number 3 like how did it turn the 5 to -2x to 3x

  • @gigivlogzlife
    @gigivlogzlife6 ай бұрын

    bruh I just watched tons of videos and I actually understood this 😭

  • @jonevans7653

    @jonevans7653

    5 ай бұрын

    You understood?

  • @gigivlogzlife

    @gigivlogzlife

    5 ай бұрын

    @@jonevans7653 i got an 88 on the test i just took so i think so

  • @Abuseif85
    @Abuseif852 жыл бұрын

    The final result of the first example should be -1/x-1 You forgot to distribute the minus

  • @kylaporter8961
    @kylaporter89613 жыл бұрын

    idek what it is but when you explain math it like 35 times easier 😩😩

  • @AidarosHassan
    @AidarosHassan3 жыл бұрын

    Thanks you 3+4= 7 /12 40×30 =270 2+6 8/12

  • @kfjfkeofitorhf9520

    @kfjfkeofitorhf9520

    Жыл бұрын

    3++4===7/12 40×30==1200 2++6===8/12

  • @aniruddhxie2k215
    @aniruddhxie2k2153 жыл бұрын

    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

    Жыл бұрын

    X^2/Y^2===p^2/q^2

  • @joshharris2365
    @joshharris2365 Жыл бұрын

    Sir, if only you knew how clutch you were

  • @brianmclogan

    @brianmclogan

    Жыл бұрын

    So happy to help!!!

  • @ten8347
    @ten8347 Жыл бұрын

    Wouldn’t the first problem be -1/x-1 ? B/c you’re distributing the negative to the (x+2).

  • @ziadali9969
    @ziadali9969 Жыл бұрын

    What i thought that u are a tennis couch😂

  • @Alexa-qt9fo
    @Alexa-qt9fo3 жыл бұрын

    whoo it’s 3:30 am and i have a test in 4 hours

  • @Alexa-qt9fo

    @Alexa-qt9fo

    3 жыл бұрын

    I GOT A 100

  • @bowbookbike

    @bowbookbike

    3 жыл бұрын

    @@Alexa-qt9fo Good job

  • @bowbookbike

    @bowbookbike

    3 жыл бұрын

    I hope I do

  • @notmenotme281

    @notmenotme281

    Жыл бұрын

    @@Alexa-qt9fo i have a test next period ill see of i pass 😭

  • @bigbeans9875
    @bigbeans9875 Жыл бұрын

    Brian McLogan

  • @brianmclogan

    @brianmclogan

    Жыл бұрын

    Hi

  • @vrajgandhi1953
    @vrajgandhi19532 жыл бұрын

    Bro, how do you miss add 1 and -2

  • @thelaseringtrespiker4006
    @thelaseringtrespiker40062 жыл бұрын

    -1/x-1

  • @sahayamichael4801
    @sahayamichael48013 жыл бұрын

    Sir

  • @yougotmynamewrong2899
    @yougotmynamewrong28993 жыл бұрын

    11:33 I'm sorry but where did that 2x came from???

  • @frankiecordero8079
    @frankiecordero80793 жыл бұрын

    ♥️

  • @sahayamichael4801

    @sahayamichael4801

    3 жыл бұрын

    Where are you from.

  • @sahayamichael4801

    @sahayamichael4801

    3 жыл бұрын

    California.

  • @user-L.l.l.ll.
    @user-L.l.l.ll.5 ай бұрын

    how do you factor x squared+7x+6 into (x+6) (x+1) ?????? helpp

  • @brianmclogan

    @brianmclogan

    5 ай бұрын

    Multiply it out

  • @jonevans7653

    @jonevans7653

    5 ай бұрын

    You misspelled pain

  • @muhammadmahdi2930
    @muhammadmahdi29303 жыл бұрын

    yo come to the UAE. please

  • @erisu8652
    @erisu86522 жыл бұрын

    ily

  • @nate_marchuk8882
    @nate_marchuk88823 жыл бұрын

    i literally have a test on this today

  • @dill6827

    @dill6827

    3 жыл бұрын

    Good Luck🍀🍀 Do ur best👍

  • @frankiecordero8079

    @frankiecordero8079

    3 жыл бұрын

    it's gonna be helpful. prayers for you❤️

  • @nate_marchuk8882

    @nate_marchuk8882

    3 жыл бұрын

    i ended up doing good and upping my final grade

  • @astromancy2799
    @astromancy2799 Жыл бұрын

    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 😂

  • @possum2620
    @possum26203 жыл бұрын

    "Give the x and y intercept of 4x - 2y = 16" Not graphed.

  • @eethanni

    @eethanni

    3 жыл бұрын

    for x: just substitute y=0 for y: substitute x=0

  • @tariqmusleh7960
    @tariqmusleh79602 жыл бұрын

    1:31 when you distributed -1 you should've changed the sign for 2

  • @tyla2crazy863

    @tyla2crazy863

    2 жыл бұрын

    So what would the right answer look like for that equation?

  • @tariqmusleh7960

    @tariqmusleh7960

    2 жыл бұрын

    @@tyla2crazy863 if am not wrong it should be 0 over x

  • @user-nz3dz4uu1b
    @user-nz3dz4uu1b3 жыл бұрын

    مرحبا اتمنئ ان تكون الفيديوهات مترجمة للغة العربية 💔

  • @Neffins
    @Neffins3 жыл бұрын

    9:09 shouldn't that be -(2x^2 - 3x + 1) there? Otherwise i'm not seeing where the square goes.

  • @kuletkulet4990

    @kuletkulet4990

    3 жыл бұрын

    from -2x^2 +3x -1 to -(2x^2 -3x +1) just right

  • @Neffins

    @Neffins

    3 жыл бұрын

    @@kuletkulet4990 It's not right, there is no square, only 2x.

  • @maxkowtko5855
    @maxkowtko58553 жыл бұрын

    I'm seriously not understanding this. I don't know why it's just not sticking.

  • @awesome6486
    @awesome64862 жыл бұрын

    cant see the board you are blocking it

  • @WYDADAT
    @WYDADAT Жыл бұрын

    what?

  • @HELLO-hq1ec
    @HELLO-hq1ec3 жыл бұрын

    First view❤️❤️

  • @XJLBP
    @XJLBP2 жыл бұрын

    How did this: 2+2 3×8 To this😭😭😭😭:

  • @bowbookbike
    @bowbookbike3 жыл бұрын

    Good video but ANNOYING ads.

  • @jinelyn4484
    @jinelyn4484 Жыл бұрын

    1st example????

  • @brianmclogan

    @brianmclogan

    Жыл бұрын

    Yes I made a mistake, should be timestamped

  • @marshalt1129
    @marshalt11293 жыл бұрын

    u r wrong its x+1 -x-2

  • @Omar_Ghazy
    @Omar_Ghazy Жыл бұрын

    bro literally got a mistake in first one??!!

  • @brianmclogan

    @brianmclogan

    Жыл бұрын

    Haha yep

  • @xagratiuchi9300
    @xagratiuchi93002 жыл бұрын

    i dont understand-

  • @Mk1_Moe
    @Mk1_Moe2 жыл бұрын

    YOU MESSED UP NO.1. COMMON MAN

  • @jaedenvogt4274
    @jaedenvogt42743 жыл бұрын

    Are his students in person? Shouldn't he wear a mask?

  • @lauramclogan5106

    @lauramclogan5106

    3 жыл бұрын

    Filmed after school with no students :)

  • @AnandKumar-uo1eo
    @AnandKumar-uo1eo2 ай бұрын

    I don’t get itttt

  • @AnandKumar-uo1eo

    @AnandKumar-uo1eo

    2 ай бұрын

    Explain its to me