Dividing Rational Expressions

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  • Опубліковано 21 січ 2018
  • This algebra video tutorial explains how to divide rational expressions with variables and exponents plus fractions. It discusses the keep change flip principle and how to divide complex fractions when simplifying rational expressions. This video contains plenty of examples and practice problems.
    Fundamental Theorem of Algebra:
    • Fundamental Theorem of...
    Rational Expressions - Basic Intro:
    • Rational Expressions -...
    Simplifying Rational Expressions:
    • Simplifying Rational E...
    Multiplying Rational Expressions:
    • Multiplying Rational E...
    Dividing Rational Expressions:
    • Dividing Rational Expr...
    ______________________________________
    Adding & Subtracting Rational Expressions:
    • Adding and Subtracting...
    Rational Expressions - Unlike Denominators:
    • Adding and Subtracting...
    Simplifying Complex Rational Expressions:
    • Simplifying Complex Ra...
    How To Solve Rational Equations:
    • Solving Rational Equat...
    Rational Equations - Extraneous Solutions:
    • Extraneous Solutions o...
    _____________________________________
    Horizontal and Slant Asymptotes:
    • Horizontal Asymptotes ...
    Finding Rational Functions Given 2 Points:
    • How To Find a Rational...
    Rational Functions - X and Y Intercepts:
    • How To Find The X and ...
    Graphing Advanced Rational Functions:
    • Graphing Advanced Rati...
    Rational Inequalities:
    • Rational Inequalities
    ________________________________________
    Final Exams and Video Playlists:
    www.video-tutor.net/
    Full-Length Videos and Worksheets:
    / collections

КОМЕНТАРІ • 296

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  5 місяців тому +2

    Final Exams and Video Playlists: www.video-tutor.net/

  • @kohaku3300
    @kohaku3300 3 роки тому +136

    I'm 7 I just watched this to look cool in front of my friends

  • @lesliechi1291
    @lesliechi1291 5 років тому +238

    Are the videos from 2006 REALLY helping?

  • @dongiovanni1993
    @dongiovanni1993 3 роки тому +72

    I'm just trying to solve some like problems, and your videos are the best I've seen so far. Just note, that explaining math is one of your strong points. Thank you.

    • @gabriesachilles3933
      @gabriesachilles3933 Рік тому +2

      Yeah! He is our real math teacher who can explain us every detail than our original teachers!

  • @renjaspa1094
    @renjaspa1094 3 роки тому +233

    The expression: "Keep, Change and Flip" can also be called the ' reciprocal'

  • @redangelofpreventingharm
    @redangelofpreventingharm 4 роки тому +823

    All these 8th graders but I'm studying to graduate XD

    • @jerryscanas
      @jerryscanas 4 роки тому +40

      Me Too :) & I am 27

    • @memecage7029
      @memecage7029 4 роки тому +28

      I’m 14 this is hard lol, doing further maths

    • @lindor4life
      @lindor4life 3 роки тому +10

      im studying this for the second time bc i rly dont wanna repeat algebra 1 in hs-- woo... placement tests ;w;

    • @krisianematagay9526
      @krisianematagay9526 3 роки тому +13

      Im at the 8th grade 12 years old.And i need to understand this while at home cause of freaking corona🤦

    • @MTGBelardoPreciousNazhrineP
      @MTGBelardoPreciousNazhrineP 3 роки тому +2

      @Lancekledsen Encallado HAHAHAHAH

  • @At22032
    @At22032 4 роки тому +58

    ah yes, my mortal enemy from 8th grade, I'm relearning it for alg II :(

  • @soupypunk-pk5ys
    @soupypunk-pk5ys Рік тому +27

    I am 26 and watching this to help me with my college algebra exam today. To all the kids here - please do well while you’re in high school so you don’t have to study at your full time job 😅

    • @Dr_Infantry
      @Dr_Infantry 4 місяці тому +3

      God I’m in the exact same boat. I was such a dumbass focusing on being the class clown instead of trying to learn everything, now here I am making major life changes, going back to college at 26 with the end goal of getting my doctorates, as a single dad with 3 kids 😂. Wish me luck

    • @yoursistersheatingpad
      @yoursistersheatingpad 3 місяці тому

      @@Dr_Infantryw also cool pfp

    • @redmoosekiller
      @redmoosekiller 3 місяці тому

      I’m studying for college to get a full time job 😭🙌

    • @AngelicVeux
      @AngelicVeux 2 місяці тому +1

      I have an assessment in a few days. I had to go back to the basic to learn terminology and function. The first couple of days, I was so confused. Only by God's grace, I am still pushing. 😅

  • @wiiner6682
    @wiiner6682 4 роки тому +31

    your examples work out very conveniently

  • @merlinmystique
    @merlinmystique 4 роки тому +36

    You are really a great teacher, thank you so much, I'm recovering in a few days years of non understood topics

  • @georgesadler7830
    @georgesadler7830 2 роки тому +8

    MR. Organic Chemistry Tutor, thank you for another monster video/lecture on Dividing Rational Expressions in Algebra Two. I really enjoyed this topic on rational expressions.

  • @ImCursed99
    @ImCursed99 5 місяців тому +2

    The best teacher on the internet

  • @brianajordan3520
    @brianajordan3520 4 роки тому +3

    This channel is a lifesaver.

  • @XxMesmerized1LOvEXx
    @XxMesmerized1LOvEXx 5 років тому +3

    thank you so much for all of your helpful videos.

  • @zeropie
    @zeropie 3 роки тому +5

    Bruh this guy has been helping me since 4th grade thank you bro im in 8th grade now

  • @mnfaye
    @mnfaye 3 роки тому +3

    you are now my math teacher

  • @mistmwehehe
    @mistmwehehe 5 років тому +169

    I'm in grade 8 and this was our topic and I'm stressed

    • @yassin5324
      @yassin5324 5 років тому +1

      Same

    • @jcer4836
      @jcer4836 5 років тому +6

      Sameee i fucked up bro

    • @itsmerane7050
      @itsmerane7050 5 років тому

      Same

    • @destinator7741
      @destinator7741 5 років тому +9

      Makinig ka sa teacher mo

    • @perplexparadox8586
      @perplexparadox8586 4 роки тому +3

      same !!!!!!!!!! i’m in grade 1 !!! and this was only my topic cause i’m superior mensan !!! i’m not stressed though, very very easy !

  • @Oneformula_9
    @Oneformula_9 5 місяців тому +3

    literally have an exam in 15 minutes YOU'RE SAVING MY LIFE

  • @abdelrahman9833
    @abdelrahman9833 3 роки тому +4

    My teacher sucks in explaining that's why I came here i saw this video and directly subscribed

  • @im_skrunkly
    @im_skrunkly 2 роки тому

    watching this morning of my test for review, thank you so much

  • @s.a.4397
    @s.a.4397 10 місяців тому

    Thank you!! Very useful.

  • @noraaldheeb6745
    @noraaldheeb6745 Рік тому +1

    You are really great appreciate it sooooo muchhh thannkkk youuu man

  • @sopherpoo
    @sopherpoo 2 роки тому +5

    THANK YOU!! im in 7th grade, i have like 6 chapters for my final, and i completely forgot all the material. ive been binge watching your videos. you save me so much time and make it easy to understand! thank you so much. -coming from a person whose shit at math

  • @neon9374
    @neon9374 5 років тому +2

    You're great! 💓

  • @francislibresupnet5219
    @francislibresupnet5219 3 роки тому +3

    Thank you for this God's product, now I can easily understand all the topics

  • @_Moonjiro
    @_Moonjiro 2 роки тому +1

    These really hard to understand and the alphabet I can't understand it a little bit but still thankful to this video..It help me to know how to solve the expression and so I can now answer my math subject without using apps

  • @davidhuang5888
    @davidhuang5888 Рік тому

    Thank you for the video😄

  • @jaimelannister1797
    @jaimelannister1797 3 роки тому +1

    Completely forgot about this so now I'm relearning it for Algebra II

  • @provincelife1649
    @provincelife1649 7 місяців тому +1

    Thank you 👍

  • @connectplus3346
    @connectplus3346 2 роки тому +3

    believe it or not i've watched 29 videos of yours today only...and imma keep going.

  • @franceofthebuddyZ
    @franceofthebuddyZ 4 роки тому

    Thanks for this video, I'm a Grade 8 student and this will be our next lesson...

  • @itzsebbie9637
    @itzsebbie9637 3 роки тому

    I owe you so much bro im gonna pass math cuz of you

  • @NingenShikkku
    @NingenShikkku 4 роки тому +13

    Im in grade 8 i need an binomial example of division

  • @tashspond
    @tashspond 5 місяців тому

    Quick question, on the first equation, doesn’t the top (over 1) also need to be multiplied by 4 before the expressions can become a whole?

  • @mwizanyimbiri2253
    @mwizanyimbiri2253 Рік тому

    Best of all times

  • @jocelynsevillano2714
    @jocelynsevillano2714 2 роки тому

    It helps a lottttttt

  • @MineCraft-sb3zz
    @MineCraft-sb3zz 4 роки тому

    In 6:25 why did he factor out the 6(x^2+4) using the cube identity even though it is not raised to 3 or cube rather.

  • @diyacries
    @diyacries 2 роки тому +2

    2:21 how come we didn't cancel the (x+3) w the (x+3)? there are the same

    • @Itsfaymi00
      @Itsfaymi00 2 роки тому +3

      because they are both in the denominator u cant cancle them unless they were upbove wach other or there is multiplication sign between two expressions and one is denominator and the other one Is numerator in the other expression ( hope that helped english is not my first language )

  • @vwa9832
    @vwa9832 5 років тому +45

    I get it, its just a lot of work lol

  • @GODiKING
    @GODiKING Рік тому +7

    0:00 Focus on dividing Rational Expression and determine the excluded value
    11:24 Put the denominator on the outside and the numerator on the inside

  • @pillowyflunky9931
    @pillowyflunky9931 2 роки тому

    thank you sir

  • @MineCraft-sb3zz
    @MineCraft-sb3zz 4 роки тому +2

    In the last example could we further factor 4x^2+8x+26 into x^2+2x+7?

  • @blion_oCeAn
    @blion_oCeAn 8 місяців тому

    THANKS IM NOW CONFIDENT DOING MY EXAM

  • @johvans.1939
    @johvans.1939 5 років тому +1

    Ur amazing

  • @carmillaC10001
    @carmillaC10001 2 роки тому +2

    Wait so what is the point of Excluding Values?

  • @redmoosekiller
    @redmoosekiller 3 місяці тому

    This is crazy I didn’t know you learned this so early I guess I forget, I’m in my second year of college and have an exam tomorrow

  • @makaylacoats1067
    @makaylacoats1067 12 днів тому

    Where u get the three from

  • @nathcoconut7098
    @nathcoconut7098 4 роки тому

    howd you get x2-2x+4????

  • @02REVENGE
    @02REVENGE 3 роки тому +2

    How do u get a 2 for B in the sum of perfect cubes when the 8 is the B?

    • @vinny9680
      @vinny9680 3 роки тому +2

      8 isn't B is B cubed, so if you use a cube root on the 8 its 2

  • @alian1250
    @alian1250 Рік тому +3

    Am I the only high schooler who's JUST learning this and being anxious that there are a bunch of middle schoolers already learning this 😭😭

    • @hillary6657
      @hillary6657 Рік тому +1

      same bro

    • @caily9316
      @caily9316 10 місяців тому +1

      i just got into highschool and we learned this in 8th grade 😭

    • @alian1250
      @alian1250 10 місяців тому

      @@caily9316 Wtf ☠️ what math class did you take in 8th?

  • @benjaminbertrand1273
    @benjaminbertrand1273 5 років тому +35

    Any one come to the coments to stop doing homework?

  • @marialandivar3155
    @marialandivar3155 4 роки тому

    At 6:32 how did he get 2(x-5)/3? what did he simplify or divide to get there? Somebody please explain!? Whats wrong with the volume? It goes up and down. I can barely hear!

  • @jojoemama2617
    @jojoemama2617 Рік тому

    I don't get the subtracting part on 10:01

  • @Astrogod028
    @Astrogod028 7 місяців тому

    2:11 in this case, why didnt you just do x + 5^2?

  • @nootnootah
    @nootnootah 11 місяців тому

    9:14 never seen this before. i would've factored the top and reduced it. but the long division does look cool

  • @ShinRu11
    @ShinRu11 9 місяців тому

    Only here beacause i was late at the lesson, but thanks to this guy i will be able to answer at our quiz 💀🙏

  • @issakeny2772
    @issakeny2772 10 місяців тому +1

    at 11:50 why did he add the extra 0x? I'm not following. Everything else in this video did make sense though

  • @dxmiie
    @dxmiie 2 роки тому

    this is helping me so much in algebra 2 bc im just staring at someone’s back fat the whole time

    • @RobertNeDlro
      @RobertNeDlro 5 місяців тому

      they made me sit behind the obese person in school and i already have shitty vision so that doesnt make it any better

  • @micojosembay9408
    @micojosembay9408 4 роки тому

    That all about Diving Rational Algebraic Expressions

  • @molax2612
    @molax2612 4 роки тому +5

    I got perfect on the first test i wanna keep being perfect to rub it off on my classmates >:) also i wasn't there for the lesson so i need this XD

  • @anDy-_-.
    @anDy-_-. Рік тому

    Its actually easy Just gotta learn first how to factor and so on :))

  • @jefftravers8942
    @jefftravers8942 4 роки тому

    There are some reciprocals added for dividing fractions

  • @Mer_aki4804
    @Mer_aki4804 Рік тому

    Just wanna ask where did you get the two? At the A³ + B=(A+B) ....
    Part?

  • @Cdrama652
    @Cdrama652 9 місяців тому

    Why does the x+3 didn't cancelled

  • @incredibleian5658
    @incredibleian5658 3 роки тому +3

    Thank you! I am studying algebra all by myself. Which grade is this because I am in Grade 7?

  • @02REVENGE
    @02REVENGE 3 роки тому

    How can you use the Sum of perfect cubes with x^3+8 when 8 doesn’t have an exponent of 3?

  • @arianagalindo8728
    @arianagalindo8728 5 років тому +1

    why did you take out a negative when multiplying at 9:37 ?

    • @tobitcalimutan2924
      @tobitcalimutan2924 4 роки тому

      I agree

    • @tobitcalimutan2924
      @tobitcalimutan2924 4 роки тому

      because its division like this
      Ex.
      9 L (Upside down sorry)
      3
      9 L27
      - (this!)

    • @kimberlygomez130
      @kimberlygomez130 4 роки тому

      he made the 12 positive in (8x²-12x ) because there was a negative outside of the parentheses,, therefore u have to flip both signs making 8x² into -8x² and -12 into positive 12

    • @kimberlygomez130
      @kimberlygomez130 4 роки тому

      i hope that maybe helped?😭

  • @jefftravers8942
    @jefftravers8942 4 роки тому +2

    It's so easy when u not complain

  • @zoedakis3424
    @zoedakis3424 3 роки тому +4

    I’m literally just doing this in grade 10 wtf are you people on

  • @thatomofolo452
    @thatomofolo452 Рік тому

    Let's do this 🥊🥊💯🤧

  • @emelygonzales5644
    @emelygonzales5644 8 місяців тому

    Bro where did go the x2+8x+

  • @katarinatostova4442
    @katarinatostova4442 2 роки тому +1

    Why did you add a 0x²?

    • @vincent_gwapo
      @vincent_gwapo 2 роки тому

      I'm confused

    • @katarinatostova4442
      @katarinatostova4442 2 роки тому +1

      @@vincent_gwapo on the last problem he added 0x² To the dividend even when 0x² is not even on the problem/equation

    • @katarinatostova4442
      @katarinatostova4442 2 роки тому +1

      @@vincent_gwapo you can see that the first equation your dividing a trinomial with a binomial but when he long divisioned its a polynomial with a binomial

  • @valjohn6870
    @valjohn6870 Рік тому

    Can you explain what you mean by excluded values and the reason behind why they are excluded, Thanks!

    • @makenziemarr8221
      @makenziemarr8221 Рік тому

      Did you ever figure it out

    • @valjohn6870
      @valjohn6870 Рік тому

      @@makenziemarr8221 Sorry no.

    • @XavierLikesBLD
      @XavierLikesBLD 8 місяців тому

      @@makenziemarr8221it is the non permissible values, the values in which X cannot equal, as it will result in you dividing by 0 which is not real.

  • @s0ra605
    @s0ra605 2 роки тому +2

    Im crying while trying to understand the vid TT∆TT

  • @hundarrasadika2319
    @hundarrasadika2319 4 роки тому +2

    thanks lil tecca

  • @emelygonzales5644
    @emelygonzales5644 8 місяців тому +3

    Bro i dont understand

  • @fatimatanveer8529
    @fatimatanveer8529 4 роки тому

    Why can't we cancel (x+3) and (x+3) at 2:20?

    • @michy_documents
      @michy_documents 4 роки тому

      You cannot cancel across, only diagonal and/or vertical. Since the two (x+3) are both in the numerator, you can write them as one and simply square it. It's just the same as (x+3)(x+3). I hope this helps.

    • @fatimatanveer8529
      @fatimatanveer8529 4 роки тому +1

      @@michy_documents Okay, thank you.

  • @catsfoxes6336
    @catsfoxes6336 5 місяців тому

    You guys are learning this in 8th grade?? I'm in 10th just learning this at the end of the class!

  • @thelight1106
    @thelight1106 Рік тому

    0:00:00

  • @tsukkisglasses7862
    @tsukkisglasses7862 3 роки тому

    how come after the fractions flipped I don't understand a thing anymore.

    • @milkiyama6020
      @milkiyama6020 3 роки тому +2

      Our brains flipped upside down either that or were just slow af

  • @jackhuang4374
    @jackhuang4374 4 роки тому +1

    any one hear filthy to try this example instead of feel free to try this example at 8:01 :]

  • @wiiner6682
    @wiiner6682 4 роки тому

    the homie

  • @amorosozairrenloraines.2630
    @amorosozairrenloraines.2630 3 роки тому +1

    I'm in grade 8 and I'm finding some solution for my pre assessment test :>>> So don't mind me HSHSHSHHS

  • @wveyeon
    @wveyeon 3 роки тому +2

    i literally do not remember how to factor anything OSUFGHLDLYFOUFE i blame my slow processing and forgetful brain u-u

  • @Ninijr_
    @Ninijr_ 2 роки тому

    Why didn’t he Cancel X+3 with X+3 in the First Example?

  • @mmmacareniicheese4431
    @mmmacareniicheese4431 3 роки тому

    6:41

  • @LLovelix
    @LLovelix 7 місяців тому

    mamahalin, iingatan, pagsisilbihan, luluhuran, aalagaan, jojowain, aasawahin, mamahalin habang buhay, to have and to hold, in sickness and in health, for richer and for poorer, to love and cherish from this day forward until death do us part. YES FATHER I DO… ang pogi ng baby ko na naging asawa ko tinaguan ng anak naging campus crush bff to lovers naging academic rivals naging suitor naging best friend with benefits naging idol crush naging bias naging daddy naging master naging ceo na husband naging boss na may gusto saakin ang dami naming pinagdaanan iba’t-ibang au I do father…

    • @BrocomeON.NOW.
      @BrocomeON.NOW. 3 місяці тому

      My holy brother in Christ? What the fuck is this?

  • @nathcoconut7098
    @nathcoconut7098 4 роки тому +5

    jusq bukas na test

    • @dice3344
      @dice3344 4 роки тому +1

      Hahahaha kami bukas

  • @nicaruu
    @nicaruu 5 років тому

    what about A to the 3rd - B to the 3rd? thanks for showing A cubed + B cubed(sorry my exponents won't work)

  • @Crandon-de1st
    @Crandon-de1st 3 роки тому

    I’m watching in 9th grade to help with Alg 2

  • @animeedits2332
    @animeedits2332 2 роки тому

    Im 6th and im learning this-

  • @tzutzutrain6682
    @tzutzutrain6682 3 роки тому

    First I Should master factoring polynomials so I can easily solve RAEs

  • @Lea.350
    @Lea.350 3 роки тому +1

    Second example tho😭💀

  • @mykanuggets3911
    @mykanuggets3911 9 місяців тому

    im gonna explode

  • @itachiuchiha_5884
    @itachiuchiha_5884 2 роки тому

    Most of the people here is just watching for there future math change my mind

  • @3sh417
    @3sh417 2 роки тому +1

    IN SCHL: How did you?? Why??? What??
    IN YT: ahhh okay.. alright... I seee...

  • @sminkyonthebeat
    @sminkyonthebeat 2 роки тому

    My brain hurts

  • @ibrahimhanah4204
    @ibrahimhanah4204 3 роки тому +1

    oof my mind blown

  • @borutobutburrito4855
    @borutobutburrito4855 Місяць тому

    Everyone being 8th graders while here I am a 7th... Whyyy 😭😭😭

  • @angelamariericardel1822
    @angelamariericardel1822 3 роки тому

    Why do maths so difficult😔