Add and Subtract Rational Expressions Step by Step

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  • Опубликовано: 14 окт 2024
  • 👉In this video I will show you how to add and subtract rational expressions with a common denominator and by finding the common denominator.
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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.freemathvi...
    #rationalexpressions #Brianmclogan #mathhelp

Комментарии • 182

  • @12397bmw
    @12397bmw 4 года назад +570

    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 +28

      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 +57

      The result is -1/x-1

    • @JL_Minty
      @JL_Minty 3 года назад +69

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

    • @happywe2029
      @happywe2029 3 года назад +40

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

    • @almerodaffdaffa7641
      @almerodaffdaffa7641 3 года назад +3

      @@happywe2029 hahahhahahahahaa, keep up the good work.

  • @eliza8994
    @eliza8994 4 года назад +124

    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 3 года назад +6

      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 Год назад

      he is tooo complicated

  • @flyboy2771
    @flyboy2771 2 года назад +38

    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

    • @guilliancamina3280
      @guilliancamina3280 8 дней назад

      @@flyboy2771 cant focus cuz my seatmates keep talking

  • @reyn_arts7641
    @reyn_arts7641 3 года назад +38

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

  • @Chris-sb4pb
    @Chris-sb4pb 4 года назад +41

    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 +2

      Did ya pass

    • @z_hr__
      @z_hr__ 2 года назад +1

      howd it go

    • @sheenenaje5038
      @sheenenaje5038 Год назад

      Ik I'm late but howd it go?

    • @astrogw
      @astrogw 6 месяцев назад +2

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

    • @astrogw
      @astrogw 6 месяцев назад +2

      @@sheenenaje5038he probably graduated already lol

  • @fett1184
    @fett1184 3 года назад +14

    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

  • @ableballon8
    @ableballon8 3 года назад +28

    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 +5

    You explain the steps a lot better than my professor. Everything that is confusing, you make it seem really easy to understand.

  • @hamisizowange173
    @hamisizowange173 3 года назад +10

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

  • @GimbertLane
    @GimbertLane 4 года назад +14

    I think you should have subtracted 2 in the first example

  • @KosherPorky
    @KosherPorky 2 года назад +3

    Was really confused on how to do these, thanks

  • @hughmanatee7626
    @hughmanatee7626 3 года назад +2

    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 2 года назад +3

    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 Год 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.

  • @imnottjonny
    @imnottjonny 3 года назад +2

    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

  • @graedencolhoun
    @graedencolhoun 2 года назад +1

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

  • @jamesthompson1868
    @jamesthompson1868 4 года назад +1

    this man is my savior

  • @EazyE_
    @EazyE_ 2 года назад +1

    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.🙏🏼

  • @rachellegallo5201
    @rachellegallo5201 4 года назад +18

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

  • @jeremymagz
    @jeremymagz 3 года назад +3

    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?

  • @noteman316
    @noteman316 5 месяцев назад +1

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

  • @Recklessly913
    @Recklessly913 2 года назад +2

    Can you try solving subtraction of function with different denominators sign

  • @spencerdavegaming9389
    @spencerdavegaming9389 3 года назад +2

    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  3 года назад +2

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

    • @spencerdavegaming9389
      @spencerdavegaming9389 3 года назад +1

      @@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 3 года назад +1

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

    • @spencerdavegaming9389
      @spencerdavegaming9389 3 года назад +1

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

    • @spencerdavegaming9389
      @spencerdavegaming9389 3 года назад +2

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

  • @hodayaifrach9637
    @hodayaifrach9637 Год назад +1

    thank you very much, this was helpful

  • @KayDejaVu
    @KayDejaVu 3 года назад +1

    @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

  • @GummiesAJ
    @GummiesAJ 3 года назад +1

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

  • @Honeybunchmiaa
    @Honeybunchmiaa 2 года назад

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

  • @Dereck27
    @Dereck27 2 года назад +1

    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

  • @codingarcadio1517
    @codingarcadio1517 Год 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.

  • @maliceissuperfuckingcool6973
    @maliceissuperfuckingcool6973 3 года назад +10

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

  • @alexsusgerardo3265
    @alexsusgerardo3265 3 года назад +1

    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.

  • @anica1023
    @anica1023 3 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?

  • @julietgallant6838
    @julietgallant6838 Год назад

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

  • @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.

  • @ClappOnUpp
    @ClappOnUpp Год назад +1

    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.

  • @Lenzprofile
    @Lenzprofile 10 месяцев назад

    Organic Chemistry Tutor + Brian McLogan = Math is easy

  • @TalksOfLife1
    @TalksOfLife1 3 года назад +4

    This guy must like his RUclips 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 +1

      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 +1

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

  • @sammeh5662
    @sammeh5662 3 года назад

    Thank you very much!

  • @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.

  • @lexeighflowers7315
    @lexeighflowers7315 Год назад

    Thanks a lot!

  • @guap_capo
    @guap_capo 4 года назад +3

    I grew up watching this guy lol

  • @Ahtohallan.
    @Ahtohallan. 3 года назад +1

    Thank you habibi

  • @evelyncendana6421
    @evelyncendana6421 2 года назад

    Thank you so much, now I understand

  • @fraternoe2771
    @fraternoe2771 Год назад

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

  • @Rain_fawn
    @Rain_fawn 4 месяца назад

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

  • @roronoa3112
    @roronoa3112 Год назад

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

  • @astromancy2799
    @astromancy2799 Год назад

    7:15
    i have been looking for that explanation ❤

  • @Erenplsgiveitback
    @Erenplsgiveitback 4 года назад +3

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

  • @Izzy23485
    @Izzy23485 2 года назад +1

    So helpful ☺

  • @garetholesco
    @garetholesco 3 года назад

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

  • @tuffbear7603
    @tuffbear7603 4 года назад

    Thank you!!!!

  • @brodiematheny1640
    @brodiematheny1640 2 года назад +2

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

  • @dino8232
    @dino8232 3 года назад +1

    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

  • @aniruddhxie2k215
    @aniruddhxie2k215 3 года назад +1

    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

  • @Bruh-sb5jb
    @Bruh-sb5jb 17 дней назад

    I js don't get the 9:30 part how did that became -(2x-1)(x-1)?

  • @SsempijjaNawufaruh
    @SsempijjaNawufaruh 6 месяцев 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

  • @jazzdini
    @jazzdini 2 года назад

    Brian always carrying me in math 😤

  • @cthulhujohansen4192
    @cthulhujohansen4192 4 года назад

    Where do you teach at I want to go there

  • @HeliosKapiro
    @HeliosKapiro 3 года назад

    Confidence 👏🏻

  • @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

  • @AidarosHassan
    @AidarosHassan 4 года назад

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

  • @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

  • @ten8347
    @ten8347 2 года назад

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

  • @holaharold5854
    @holaharold5854 3 года назад

    Hello Im looking for a vid for Compund inequality

  • @darkrai8142
    @darkrai8142 3 года назад

    Woah thank u sir it really help my grade 8 kiddo

  • @yougotmynamewrong2899
    @yougotmynamewrong2899 3 года назад

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

  • @gravsson4472
    @gravsson4472 3 года назад

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

  • @BroWhat00000
    @BroWhat00000 4 года назад

    Nice

  • @frankiecordero8079
    @frankiecordero8079 4 года назад +1

    ♥️

  • @Abuseif85
    @Abuseif85 2 года назад

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

  • @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

  • @vrajgandhi1953
    @vrajgandhi1953 2 года назад

    Bro, how do you miss add 1 and -2

  • @user-L.l.l.ll.
    @user-L.l.l.ll. 8 месяцев назад

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

  • @Neffins
    @Neffins 4 года назад

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

    • @kuletkulet4990
      @kuletkulet4990 4 года назад

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

    • @Neffins
      @Neffins 4 года назад

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

  • @gigivlogzlife
    @gigivlogzlife 9 месяцев назад

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

    • @jonevans7653
      @jonevans7653 7 месяцев назад

      You understood?

    • @gigivlogzlife
      @gigivlogzlife 7 месяцев назад

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

  • @erisu8652
    @erisu8652 2 года назад

    ily

  • @mikejeff6012
    @mikejeff6012 Месяц назад

    My first problem is, why not turn it into a decimal?????

  • @kylap8961
    @kylap8961 4 года назад +1

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

  • @joshharris2365
    @joshharris2365 Год назад

    Sir, if only you knew how clutch you were

  • @astromancy2799
    @astromancy2799 Год назад +1

    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
    @possum2620 3 года назад

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

    • @eethanni
      @eethanni 3 года назад +2

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

  • @Alexa-qt9fo
    @Alexa-qt9fo 3 года назад +1

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

    • @Alexa-qt9fo
      @Alexa-qt9fo 3 года назад +1

      I GOT A 100

    • @bowbookbike
      @bowbookbike 3 года назад

      @@Alexa-qt9fo Good job

    • @bowbookbike
      @bowbookbike 3 года назад

      I hope I do

    • @notmenotme281
      @notmenotme281 2 года назад

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

  • @اسوارالقمر-ت4ف
    @اسوارالقمر-ت4ف 3 года назад

    مرحبا
    اتمنئ ان تكون الفيديوهات مترجمة للغة العربية 💔

  • @maxkowtko5855
    @maxkowtko5855 3 года назад +1

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

  • @nate_marchuk8882
    @nate_marchuk8882 4 года назад +3

    i literally have a test on this today

    • @dill6827
      @dill6827 4 года назад

      Good Luck🍀🍀 Do ur best👍

    • @frankiecordero8079
      @frankiecordero8079 4 года назад

      it's gonna be helpful. prayers for you❤️

    • @nate_marchuk8882
      @nate_marchuk8882 4 года назад

      i ended up doing good and upping my final grade

  • @xagratiuchi9300
    @xagratiuchi9300 3 года назад +2

    i dont understand-

  • @awesome6486
    @awesome6486 2 года назад

    cant see the board you are blocking it

  • @bigbeans9875
    @bigbeans9875 Год назад

    Brian McLogan

  • @Ehl_
    @Ehl_ Месяц назад

    Unfortunately will never understand the last problem 😢

  • @ziadali9969
    @ziadali9969 Год назад

    What i thought that u are a tennis couch😂

  • @bowbookbike
    @bowbookbike 3 года назад

    Good video but ANNOYING ads.

  • @thelaseringtrespiker4006
    @thelaseringtrespiker4006 2 года назад

    -1/x-1

  • @WYDADAT
    @WYDADAT Год назад +1

    what?

  • @jinelyn4484
    @jinelyn4484 Год назад

    1st example????

    • @brianmclogan
      @brianmclogan  Год назад +1

      Yes I made a mistake, should be timestamped

  • @HELLO-hq1ec
    @HELLO-hq1ec 4 года назад +1

    First view❤️❤️

  • @muhammadmahdi2930
    @muhammadmahdi2930 4 года назад

    yo come to the UAE. please

  • @Omar_Ghazy
    @Omar_Ghazy 2 года назад +1

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

  • @OliwiaDzido
    @OliwiaDzido 4 месяца назад +2

    Who's here in 2024

  • @sahayamichael4801
    @sahayamichael4801 4 года назад

    Sir

  • @XJLBP
    @XJLBP 3 года назад

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

  • @marshalt1129
    @marshalt1129 3 года назад

    u r wrong its x+1 -x-2