Dividing Rational Expressions

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  • เผยแพร่เมื่อ 12 ธ.ค. 2024
  • 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-tuto...
    Full-Length Videos and Worksheets:
    / collections

ความคิดเห็น • 316

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  11 หลายเดือนก่อน +4

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

  • @dongiovanni1993
    @dongiovanni1993 4 ปีที่แล้ว +87

    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 2 ปีที่แล้ว +3

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

  • @renjaspa1094
    @renjaspa1094 4 ปีที่แล้ว +260

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

    • @nursayban.7445
      @nursayban.7445 4 ปีที่แล้ว +11

      KCF

    • @samn2337
      @samn2337 4 ปีที่แล้ว +5

      Or inverse

    • @seanoreilly9950
      @seanoreilly9950 3 ปีที่แล้ว +18

      or kfc?

    • @Jinnjinn420
      @Jinnjinn420 2 ปีที่แล้ว +1

      @@samn2337 q1

    • @xasxter
      @xasxter ปีที่แล้ว +3

      @@seanoreilly9950 keep flip change is technically just the same thing, so yes

  • @redangelofpreventingharm
    @redangelofpreventingharm 4 ปีที่แล้ว +918

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

    • @jerryscanas
      @jerryscanas 4 ปีที่แล้ว +44

      Me Too :) & I am 27

    • @memecage7029
      @memecage7029 4 ปีที่แล้ว +35

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

    • @lindor4life
      @lindor4life 4 ปีที่แล้ว +12

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

    • @krisianematagay9526
      @krisianematagay9526 4 ปีที่แล้ว +17

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

    • @MTGBelardoPreciousNazhrineP
      @MTGBelardoPreciousNazhrineP 4 ปีที่แล้ว +2

      @Lancekledsen Encallado HAHAHAHAH

  • @shannonmcdonald7584
    @shannonmcdonald7584 2 หลายเดือนก่อน +5

    You were my first algebra tutor when I began A1 last winter. I remember when this video was difficult. 6 hrs a day for months and not I'm beginning calculus. Did your Power Rule of Integration this week asking with derivatives and limits.
    All this to say thank you, my guy.

  • @lesliechi1291
    @lesliechi1291 5 ปีที่แล้ว +250

    Are the videos from 2006 REALLY helping?

  • @kohaku3300
    @kohaku3300 4 ปีที่แล้ว +153

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

  • @wiiner6682
    @wiiner6682 5 ปีที่แล้ว +32

    your examples work out very conveniently

  • @valfredodematteis-poet
    @valfredodematteis-poet 4 ปีที่แล้ว +39

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

  • @ImCursed99
    @ImCursed99 10 หลายเดือนก่อน +4

    The best teacher on the internet

  • @At22032
    @At22032 4 ปีที่แล้ว +64

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

  • @georgesadler7830
    @georgesadler7830 2 ปีที่แล้ว +10

    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.

  • @GODiKING
    @GODiKING 2 ปีที่แล้ว +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

  • @brianajordan3520
    @brianajordan3520 5 ปีที่แล้ว +4

    This channel is a lifesaver.

  • @sopherpoo
    @sopherpoo 2 ปีที่แล้ว +9

    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

    • @m3lloPanda
      @m3lloPanda 9 หลายเดือนก่อน

      *Who’s

  • @mistmwehehe
    @mistmwehehe 5 ปีที่แล้ว +176

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

    • @yassin5324
      @yassin5324 5 ปีที่แล้ว +1

      Same

    • @jcer4836
      @jcer4836 5 ปีที่แล้ว +6

      Sameee i fucked up bro

    • @itsmerane7050
      @itsmerane7050 5 ปีที่แล้ว

      Same

    • @destinator7741
      @destinator7741 5 ปีที่แล้ว +9

      Makinig ka sa teacher mo

    • @perplexparadox8586
      @perplexparadox8586 5 ปีที่แล้ว +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 !

  • @hamzakanan9755
    @hamzakanan9755 2 หลายเดือนก่อน +1

    your are a best teacher that i found in youtube

  • @zeropie
    @zeropie 4 ปีที่แล้ว +8

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

  • @mnfaye
    @mnfaye 4 ปีที่แล้ว +3

    you are now my math teacher

  • @Oneformula_9
    @Oneformula_9 11 หลายเดือนก่อน +4

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

  • @abdelrahman9833
    @abdelrahman9833 4 ปีที่แล้ว +7

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

  • @connectplus3346
    @connectplus3346 2 ปีที่แล้ว +4

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

  • @francislibresupnet5219
    @francislibresupnet5219 4 ปีที่แล้ว +3

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

  • @im_skrunkly
    @im_skrunkly 2 ปีที่แล้ว

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

  • @cess1796
    @cess1796 3 หลายเดือนก่อน +1

    i seriously trust u with my life

  • @vwa9832
    @vwa9832 5 ปีที่แล้ว +46

    I get it, its just a lot of work lol

  • @jaimelannister1797
    @jaimelannister1797 3 ปีที่แล้ว +1

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

  • @benjaminbertrand1273
    @benjaminbertrand1273 5 ปีที่แล้ว +35

    Any one come to the coments to stop doing homework?

    • @zarkzark2994
      @zarkzark2994 5 ปีที่แล้ว

      Reviewing for a PT exam.

  • @redmoosekiller
    @redmoosekiller 8 หลายเดือนก่อน +1

    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

  • @provincelife1649
    @provincelife1649 ปีที่แล้ว +1

    Thank you 👍

  • @_Moonjiro
    @_Moonjiro 3 ปีที่แล้ว +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

  • @noraaldheeb6745
    @noraaldheeb6745 ปีที่แล้ว +1

    You are really great appreciate it sooooo muchhh thannkkk youuu man

  • @XxMesmerized1LOvEXx
    @XxMesmerized1LOvEXx 6 ปีที่แล้ว +3

    thank you so much for all of your helpful videos.

  • @NingenShikkku
    @NingenShikkku 5 ปีที่แล้ว +13

    Im in grade 8 i need an binomial example of division

  • @blion_oCeAn
    @blion_oCeAn ปีที่แล้ว

    THANKS IM NOW CONFIDENT DOING MY EXAM

  • @diyacries
    @diyacries 2 ปีที่แล้ว +2

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

    • @Itsfaymi00
      @Itsfaymi00 2 ปีที่แล้ว +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 )

  • @franceofthebuddyZ
    @franceofthebuddyZ 5 ปีที่แล้ว

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

  • @nootnootah
    @nootnootah ปีที่แล้ว

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

  • @itzsebbie9637
    @itzsebbie9637 3 ปีที่แล้ว

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

  • @T90-d6l
    @T90-d6l 2 หลายเดือนก่อน

    Good video, nice explaination like my math teacher

  • @s.a.4397
    @s.a.4397 ปีที่แล้ว

    Thank you!! Very useful.

  • @ShinRu11
    @ShinRu11 ปีที่แล้ว

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

  • @mwizanyimbiri2253
    @mwizanyimbiri2253 2 ปีที่แล้ว

    Best of all times

  • @alian1250
    @alian1250 ปีที่แล้ว +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 ปีที่แล้ว +1

      same bro

    • @caily9316
      @caily9316 ปีที่แล้ว +1

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

    • @alian1250
      @alian1250 ปีที่แล้ว

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

  • @jojoemama2617
    @jojoemama2617 2 ปีที่แล้ว +1

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

  • @neon9374
    @neon9374 5 ปีที่แล้ว +2

    You're great! 💓

  • @davidhuang5888
    @davidhuang5888 2 ปีที่แล้ว

    Thank you for the video😄

  • @MineCraft-sb3zz
    @MineCraft-sb3zz 4 ปีที่แล้ว +2

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

  • @arianagalindo8728
    @arianagalindo8728 5 ปีที่แล้ว +1

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

    • @tobitcalimutan2924
      @tobitcalimutan2924 5 ปีที่แล้ว

      I agree

    • @tobitcalimutan2924
      @tobitcalimutan2924 5 ปีที่แล้ว

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

    • @kimberlygomez130
      @kimberlygomez130 4 ปีที่แล้ว

      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 ปีที่แล้ว

      i hope that maybe helped?😭

  • @dxmiie
    @dxmiie 2 ปีที่แล้ว

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

    • @RobertNeDlro
      @RobertNeDlro 11 หลายเดือนก่อน

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

  • @marialandivar3155
    @marialandivar3155 4 ปีที่แล้ว

    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!

  • @LLovelix
    @LLovelix ปีที่แล้ว

    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. 8 หลายเดือนก่อน

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

  • @jefftravers8942
    @jefftravers8942 4 ปีที่แล้ว +2

    It's so easy when u not complain

  • @carmillaC10001
    @carmillaC10001 3 ปีที่แล้ว +2

    Wait so what is the point of Excluding Values?

  • @02REVENGE
    @02REVENGE 3 ปีที่แล้ว +2

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

    • @v.ncent4
      @v.ncent4 3 ปีที่แล้ว +2

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

  • @MineCraft-sb3zz
    @MineCraft-sb3zz 4 ปีที่แล้ว

    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.

    • @jamesjames304
      @jamesjames304 3 หลายเดือนก่อน

      It's been 4 years, but to answer your question, he did not use the sum of two cubes-rather he used the sum of two squares of (x²-4) which is equal to (x+2)(x-2). Additionally, the 4/6 is equal to 2/3.

  • @incredibleian5658
    @incredibleian5658 4 ปีที่แล้ว +3

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

  • @issakeny2772
    @issakeny2772 ปีที่แล้ว +1

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

    • @coolshapes
      @coolshapes 3 หลายเดือนก่อน

      Just as a placeholder for the long division format to work

  • @tashspond
    @tashspond 10 หลายเดือนก่อน

    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?

  • @Astrogod028
    @Astrogod028 ปีที่แล้ว

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

  • @thatomofolo452
    @thatomofolo452 ปีที่แล้ว

    Let's do this 🥊🥊💯🤧

  • @anDy-_-.
    @anDy-_-. 2 ปีที่แล้ว

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

  • @thelight1106
    @thelight1106 ปีที่แล้ว

    0:00:00

  • @fatimatanveer8529
    @fatimatanveer8529 4 ปีที่แล้ว

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

    • @michy_documents
      @michy_documents 4 ปีที่แล้ว

      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 ปีที่แล้ว +1

      @@michy_documents Okay, thank you.

  • @s0ra605
    @s0ra605 3 ปีที่แล้ว +2

    Im crying while trying to understand the vid TT∆TT

  • @jefftravers8942
    @jefftravers8942 4 ปีที่แล้ว

    There are some reciprocals added for dividing fractions

  • @hundarrasadika2319
    @hundarrasadika2319 5 ปีที่แล้ว +2

    thanks lil tecca

  • @jackhuang4374
    @jackhuang4374 4 ปีที่แล้ว +1

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

  • @micojosembay9408
    @micojosembay9408 5 ปีที่แล้ว

    That all about Diving Rational Algebraic Expressions

  • @mikaelandargachew3896
    @mikaelandargachew3896 22 วันที่ผ่านมา

    I have an exam after 2 hours and this helped a lot you don't get it

  • @catsfoxes6336
    @catsfoxes6336 10 หลายเดือนก่อน

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

  • @pillowyflunky9931
    @pillowyflunky9931 2 ปีที่แล้ว

    thank you sir

  • @emelygonzales5644
    @emelygonzales5644 ปีที่แล้ว +4

    Bro i dont understand

  • @katarinatostova4442
    @katarinatostova4442 3 ปีที่แล้ว +1

    Why did you add a 0x²?

    • @vincent_gwapo
      @vincent_gwapo 3 ปีที่แล้ว

      I'm confused

    • @katarinatostova4442
      @katarinatostova4442 3 ปีที่แล้ว +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 3 ปีที่แล้ว +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

  • @molax2612
    @molax2612 5 ปีที่แล้ว +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

  • @valjohn6870
    @valjohn6870 ปีที่แล้ว

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

    • @makenziemarr8221
      @makenziemarr8221 ปีที่แล้ว

      Did you ever figure it out

    • @valjohn6870
      @valjohn6870 ปีที่แล้ว

      @@makenziemarr8221 Sorry no.

    • @XavierLikesBLD
      @XavierLikesBLD ปีที่แล้ว

      @@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.

  • @mmmacareniicheese4431
    @mmmacareniicheese4431 4 ปีที่แล้ว

    6:41

  • @Mer_aki4804
    @Mer_aki4804 ปีที่แล้ว

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

  • @makaylacoats1067
    @makaylacoats1067 5 หลายเดือนก่อน

    Where u get the three from

  • @amorosozairrenloraines.2630
    @amorosozairrenloraines.2630 4 ปีที่แล้ว +1

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

  • @itachiuchiha_5884
    @itachiuchiha_5884 3 ปีที่แล้ว

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

  • @Crandon-de1st
    @Crandon-de1st 3 ปีที่แล้ว

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

  • @Cdrama652
    @Cdrama652 ปีที่แล้ว

    Why does the x+3 didn't cancelled

  • @animeedits2332
    @animeedits2332 3 ปีที่แล้ว

    Im 6th and im learning this-

  • @Lea.350
    @Lea.350 4 ปีที่แล้ว +1

    Second example tho😭💀

  • @3sh417
    @3sh417 3 ปีที่แล้ว +1

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

  • @nathcoconut7098
    @nathcoconut7098 5 ปีที่แล้ว

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

  • @johvans.1939
    @johvans.1939 5 ปีที่แล้ว +1

    Ur amazing

  • @diazfernando9348
    @diazfernando9348 หลายเดือนก่อน

    I don't understand the 3rd excample??

  • @borutobutburrito4855
    @borutobutburrito4855 6 หลายเดือนก่อน

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

  • @tzutzutrain6682
    @tzutzutrain6682 4 ปีที่แล้ว

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

  • @zoedakis3424
    @zoedakis3424 4 ปีที่แล้ว +4

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

    • @sisanyathi2459
      @sisanyathi2459 4 ปีที่แล้ว +1

      I feel ur pain

    • @shamelleism
      @shamelleism 4 ปีที่แล้ว +1

      Exactly like they making me feel dumb

    • @ineedasubmissiveboyfriend9236
      @ineedasubmissiveboyfriend9236 3 ปีที่แล้ว

      Bruh I'm a 7 grader and I could feel like my brain's about to explode

    • @sayii_hona
      @sayii_hona 2 หลายเดือนก่อน

      welcome to Asia

  • @kylemananing9643
    @kylemananing9643 4 ปีที่แล้ว +1

    Me realizing I can just cross multiply then flip it😐

    • @jldbe_e
      @jldbe_e 3 ปีที่แล้ว

      Ikr ( TДT)

  • @emelygonzales5644
    @emelygonzales5644 ปีที่แล้ว

    Bro where did go the x2+8x+

  • @nathcoconut7098
    @nathcoconut7098 5 ปีที่แล้ว +5

    jusq bukas na test

    • @dice3344
      @dice3344 5 ปีที่แล้ว +1

      Hahahaha kami bukas

  • @02REVENGE
    @02REVENGE 3 ปีที่แล้ว

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

    • @ttofu_44
      @ttofu_44 3 ปีที่แล้ว +1

      8=2^3

  • @ashesrnice
    @ashesrnice หลายเดือนก่อน

    IM FKN COOKED ON MY TEST THIS IS SO CONFUSING 💀💀💀

  • @wveyeon
    @wveyeon 4 ปีที่แล้ว +2

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

  • @jocelynsevillano2714
    @jocelynsevillano2714 3 ปีที่แล้ว

    It helps a lottttttt

  • @not_estains
    @not_estains 8 หลายเดือนก่อน

    i love eating at KCF