Rational Expressions , Adding, Subtracting, Multiplying, Dividing, Simplifying Complex Fractions

[@TheOrganicChemistryTutor]

Rational Functions - More Lessons: www.video-tutor.net/rational-functions.html

[@Quannxii]

I'm using this video for my lessons because it's easier to understand thank you so much for all the vids 😭😭

[@stephhhc4100]

0:00 = Simplifying rational expressions 11:27 = Multiplying rational expressions 25:40 = Diving rational expressions 38:19 = Adding and Subtracting rational expressions 58:28 = Simplifying Complex Fractions 1:09:15 = Solving rational expressions

[@sanopann1896]

help please i lost at 9:04 to 9:20 how did he do that

[@vivienreysoriano1256]

@@sanopann1896 hi! Umm in the equation (x-2) the "A" is x and "B" is -2. Just substitute those values on the formula (A-B)(A^2+AB+B^2)

[@user-wl7yx9ev8q]

Burh thank you so much for timestamp it helps me so much better to review. Thank you a lot! HAVE A GOOD DAY ALWAYS

[@chinmaibommana9788]

Thanks for parting the video, I don’t have to watch the whole video

[@dh1713]

Thanks a loooooooot

[@Kaptain_Wario]

You are a LIFE SAVER! Believe it or not, this video is going to keep me in college!!!! THANK YOU!

[@TheOrganicChemistryTutor]

Glad to help.

[@abdullahahmed1284]

+The Organic Chemistry Tutor your the best

[@sourayeaturaye2498]

College?? What?? I took this at 8th grade I guess

[@richardsequeirateixeira]

@@sourayeaturaye2498 yeah this is also used in College Algebra.

[@jordanblack1733]

IM IN MIDDLE SCHOOL AND I HAVE TO LEARN THIS UR IN COLLEGE!!!!!!!!!!!!!!!!!!!!! W.T.F.!!!!!!!!!

[@b4isleep1]

The whole problem for a lot of people to grasp is factoring. Once they see how easy it is, less stress.

[@mpav1408]

Step 1: mult A and C Step 2: break apart Bx such that the sum = Bx but the product = AC (edited) Step 3: Split down middle with parentheses Step 4: Divide out factors such the factored pairs left over are equivalent Step 5: 1 of the left over factored pairs is one of the solutions Step 6: The other solution is found by combining what was divided out This method works for pretty much every ax^2+bx+c(standard form) equation and I have found that usually the only time it doesn’t work is when it is nonfactorable. Hope this helps!

[@kazuya3849]

​@@mpav1408that is only good if it's a trinomial, there are other factoring methods like synthetic division, factoring when a is not 1, factoring when a is 1, factoring by gcf, factoring by grouping, difference of two squares, difference of two cubes, sum of cubes

[@jaceypalmer5937]

You are a W. You're there for me for my Math and for my Chem AP and everyone in my school who knows of your existence are basically passing all their classes with a +110% average. You're a legend.

[@christoperrosas9649]

my ear is bleeding because of the way he clears his throat and i have earphones and the volume is almost maxed... Why... you okay dude? but the whole video is 100% useful man... Especially in this pandemic where the internet is our best partner in finding answers. Thanks bro appreciate it

[@aidanpotts7157]

Learning journey the pandemic is a tough task! The youtube way of learning helps a ton because students can pause and play the video at varying speeds!

[@mathfullyexplained]

Try my channel mathfullyexplained. Unit on rational expressions plus more units

[@urlookingnicernyesevenwhen2703]

Fr, it hurt me so much lmao

[@Madz--xn4nq]

This man has saved millions. He deserves the title of hero.

[@huyverse]

I think my brain is going to explode

[@m.8577]

same here

[@markeulee8314]

same, we got a test tomorrow and I'm crying while watching this.

[@m.8577]

@@markeulee8314 SAME OMG

[@llllll6133]

I have a quiz tomorrow don't know what tf im doing

[@leso204]

it's a headfuck 95% of students will never use but you get failed if you dont get it'

[@gabby7320]

only @ 6:30 rn but this little hour and a half is gonna pay off cs ya girl got her ALG 2 midterm tmr on this & we just learned it appreciate you for this you a real one 💪🏽

[@maritanaka1722]

Dear Professor I am very thankful for your video I've learned a lot again THANK YOU SO MUCH MORE POWER TO YOU AND GOD BLESS YOU.

[@jamesgarcia4341]

i still dont get it

[@denisevictoriano9330]

you're the reason why i answered my chemistry and mathematics man, you're the best!!!

[@Ray-cr9wg]

I'm a high school freshman and your videos have saved me and my friend's grades . . . thank you so much

[@IceyDivine]

omg I love that shortcut you did, instead of you writing out the negative exponent you just put it on the bottom to make it positive

[@wyckedsyndicate]

thank god there is the internet for when your professors try to over complicate things with shit methods

[@cloud_9144]

Syndikit amen to that 😂👏🏽👏🏽👏🏽

[@jeffakoima9529]

at least your professor tries to teach you. Mines tenured and about to retire and doesn't give a f*ck.

[@avakate6227]

God* always big letter G

[@avakate6227]

@@joshuamajano8358 not that,

[@Alexwhywest]

@@avakate6227wahwah

[@tiana3936]

I've been watching your videos for 2 years now, and it really helped me with my math. Btw, your voice is so therapeutic!

[@terry1989]

what grade r u in rn

[@ambroser.2073]

God bless you sir, you help millions of students like me all around the globe

[@n.j2592]

Change speed to 0.5 and then skip to 9:40 of this video :)

[@fitfanatic4928]

lol

[@vagaboner]

god bless you

[@cottonjun01]

omg

[@JSBROME]

Aahahahahah

[@genn.623]

Lol😂😂😂

[@Princess-pg3fo]

I was wearing earphones max. volume when he cleared his throat

[@anonymousanonymous6301]

lol I was too!!!!!!!!!!!!!!!!!!!!!!!!

[@FA-cx9wl]

RIP💀

[@HairizBeauty]

LOLOLOL😅😅😂😅😅😂😅😂😂😅😂😅😅😂😂😅💫

[@winterrain1947]

EwwwwwwwwwwwwwwwWWWW!!!! *shudder*

[@GpOg-j3v]

Timestamp pls!! Save us from the same faith of pain and suffering.

[@jzo433]

Thank you! You saved my life for becoming a failure in math, Whoever needs help in their math you need to watch his video because it is more clear than my module

[@callalily6050]

Stop reading comments and do your math

[@garlicbreadisyum981]

Just a sec

[@a-delacruzaltheab.1360]

ok

[@r1nzu134]

I'll do it later

[@adaralinshrinequeen7345]

Make me!!! >:( Jk

[@g-casereskrishajoycea.7889]

wah u--

[@josephlang7138]

Thank You Professor for your video, Rational Expressions , Adding, Subtracting, Multiplying, Dividing, Simplifying Complex Fractions. I've struggled with College Algebra, and had to take the class again this summer. I've watched the entire video, and wrote down and followed every problem on that video, as I took notes on the different techniques you used. Now I'm confident that I'll pass the College Algebra course when I retake it this summer. I'll bookmark your website, so I can refer to it and will decide if I want to a membership. Thank You very much. Joseph Lang

[@nicoleraheem1195]

This guy has helped me through college algebra homework. I would get 80-100 percent on all of my assignments. My nerves failed me on the the computerized test, with receiving something like a 13 percent. But since I had to show my work, on paper, I ended up getting a high F 😂. Two points away from passing. That was my first exam. As for my second, idk what I got.

[@EstherAude]

I love how therapeutic your voice is. this works for me.thankyou

[@iamcoldOfficial]

0:23 "foy nine"

[@hi-hc3ms]

don’t be rude LOL

[@thee_rarest7201]

Foy nine

[@XxMesmerized1LOvEXx]

I'm so thankful for your tutoring services i hope you will stay for a long time here on youtube :)

[@blinbin8415]

i just needed a quick review but thnx for an hour n a half of content dude

[@Honestpath4]

Awesome video it's helping me in my precal 11

[@swarley2500]

Remember that if you have trouble factorising quadratics. You can just use the quadratic formula to find the x intercepts and use it to factorise the expression.

[@sweettea3879]

These were the exact SAT problems I BOMBED on. Now I know how to solve them. Thank you

[@darlalmeyda9403]

Your videos are keeping me alive in College. Thank you Sir.

[@Mystic.5108]

Hey you good?

[@emjaydark2811]

Thanks!

[@winterrain1947]

*pauses video at **50:15* *Spends ten minutes working out problem, and gets frustrated at the weirdness...* *finds out...* There's a typo and the video was posted without any annotation on mistakes.

[@kqver9696]

I feel you fam, same happen to me

[@mathfullyexplained]

Try my channel mathfullyexplained. Unit on rational expressions plus more units

[@evanbeckers2193]

Extra practice never hurt

[@alittleatinyatiny1821]

Whenever I'm bored I watch these vids and learn something instead of wasting time on other things.

[@xdbeats790]

You're wasting your time, hadn't you learn this on high school?? 🤨

[@MTGBelardoPreciousNazhrineP]

cant relate

[@divyakhadka705]

pls do my hw

[@mathfullyexplained]

Try my channel mathfullyexplained. Unit on rational expressions plus more units

[@henryvg8825]

@@mathfullyexplained Go AWAY He is BETTER!

[@SmartBizBuddy]

I just added all the exponents. Then did the simplified multiplication on top and bottom. Simplified and came up with the same answer.

[@spugged9800]

For 5:55 you can also multiply by the conjugate and solve to get 1/ -1 = -1 but its a bit longer :)

[@panndyy4935]

I love the way you say 49! Btw thanks for the great content! Your videos helped me pass my last class 👌🏽

[@thee_rarest7201]

Foy nine

[@nighthunterian684]

Got a math test on this soon. One of my online friends sent it to. This video could be a lifesaver

[@oxyhanuh]

POV:you have to go back to school but you've been cheating on everything and you have a test tomorrow morning

[@Ireland_maleigh]

I fell in love with that man as soon as he became a better teacher than mine ❤️‍🔥

[@Mohammadmaamor]

I have an exam in 2 days and i barely had any notes in my class im grade 10.Grade 10 like what how did i forget this back then anyways your a real one i love your videos man keep it up.

[@emeliecastellanos821]

this is so helpful for people like me who have a math teacher that can't teach.

[@rykarrahmitchell]

Thank you soo much. I really learned a lot, hopefully I do well in this math class.

[@mathfullyexplained]

Try my channel mathfullyexplained. Unit on rational expressions plus more units

[@user-vs1mn8ig8w]

@@mathfullyexplained dont spread your channel on others, that is just rude.

[@weirdoyep9294]

THANK YOU SO MUCH, SIR! YOUR EXPLANATION IS THE BEST !!

[@meenaalhashimi6822]

YOU SAVED MY LIFE WITH UR VIDS my teacher is very confusing and you explained in a very good way thank you so much

[@ElYakuza1973]

I'm glad this guy is starting to take me off of mathway

[@vanessastevens2330]

I have a unit test tomorrow and none of this makes any sense , my head is gonna explode

[@unithaalala5762]

I'm writing maths tomorrow and I needed this

[@almotasimbillah8207]

You made my brain work very fast. Now I'm happy but I have headache as well. Anyway I appreciate your effort

[@zedthemasterofshadows1953]

BIg thanks to you sir I really learn a lot with this 1 hour video

[@ryanbrazeal8901]

Thank you for being so informative

[@mathfullyexplained]

Try my channel mathfullyexplained. Unit on rational expressions plus more units

[@researchchannel1767]

I enjoyed your videos very straight forward for me lol

[@theprifeckt9776]

you videos are really good!

[@brokefangirl4342]

I have exams tomorrow I'll come back here tomorrow for the results. I hope to do welll. Thank you for this!

[@goat8328]

Thank you so much your video is better than most of the other videos and I can actually follow these difficult problems.

[@fengyanzhang1666]

Same here.

[@IslamicLifestylevibess]

you are amazing keep it up this was literally helpful

[@mathfullyexplained]

Try my channel mathfullyexplained. Unit on rational expressions plus more units

[@Gamingeek143]

@@mathfullyexplained I checked it out and u dont explain it that well as this guy. i got full marks on my test because of this guy

[@mathfullyexplained]

@@Gamingeek143 each of my videos on a unit has many examples that you can follow. More practice. I find it hard to explain rational expressions in 1.5 hours. Very very important unit in algebra.

[@Gamingeek143]

@@mathfullyexplained Look this guy is really help full to me. Im not a hater but everyone understands differently right?. As this guy explains I find it really help full but as u explain i dont find it help full. but im sure you are doing an amazing job on your channel. I just said it wasnt help full thats it. Keep up your good work on your channel and have a great day! ✌✌

[@celineeng9167]

at 53:20,why cant we use minus sign throughout the whole question?why do u need to change it to plus?

[@woochanzzhipz9975]

Omg thank you so much i really appreciate the time u spent on that vid to help us understand and honestly i got everything so thank youuuuuu

[@mathfullyexplained]

Try my channel mathfullyexplained. There is a full unit on rational expressions plus more units

[@SimonTeshale-i8f]

gracias, maestro

[@gendaquimbo2024]

Thank you po sobrang helpful... 🥺🥺😭😭

[@sanopann1896]

walang anuman

[@Juan-zi3qs]

When i got into high school the teachers were surprized when i said this wasn’t taught in grade school

[@mathfullyexplained]

Try my channel mathfullyexplained. Unit on rational expressions plus more units

[@williampaulsen1105]

this dude is my GOAT

[@mjsagun3796]

It's actually very easy to understand

[@BoomBamBo]

Watching this the night before a test early in the morning.

[@edgy8024]

19:41 Is it just me or the expression listed above; *2x+1/2(x-5)* Can further be factored? *2•x+1/2•x-10* Giving us *1/-10?*

[@mrLahey31]

9:45 my dude started a lawnmower😆

[@dogood1525]

you are so good at Rationals and factoring..i what to ask what is really the step by step in factoring and and in fractional expression ? please show me how really is the step by step process in dealing with this matter. :) and also the technique in factoring numbers.

[@TheOrganicChemistryTutor]

+Jonathan Miclat Thanks. This video can help you with factoring: kzbin.info/www/bejne/o4nZpWyFqtJ-fpo

[@stephanierivera767]

You really help a lot man

[@mathfullyexplained]

Try my channel mathfullyexplained. Unit on rational expressions plus more units

[@heerbalmedicine2812]

AAA I’m just glad I found this channel

[@telmamancilla672]

You are too good !!!! I'm too slow🐌

[@thatomofolo452]

My hero 👍👍😊

[@kennethstevenson976]

When the only factor in the numerator that might match with the denominator is (x+4) you should try it first when factoring the denominator to (x+4)(x-1).

[@area3039]

very effective, good teaching, period.🗽

[@mirasilva3524]

This is super helpful!! Thanks

[@mephistopheles858]

52:45 now, now, why did you connecct the negative in 2? its am operation not a sign. cause i gave it a try and if u didnt connected it, the result would have been 3x+6 not 3x-6. please enlighten me which one is correct.

[@eleniabayo2085]

Just got stuck with your voice 😍

[@mathfullyexplained]

Try my channel mathfullyexplained. Unit on rational expressions plus more units

[@rameenfatima2850]

2:57 how did you take out the variables?

[@SeanyKrabs]

RIGHT?!?

[@aidanpotts7157]

Hey Rameen! He factored out the GCF of the expression 63x^3y^5 - 45x^4y^3. The GCF turned out to be 9x^3y^3 because that is what is common to both the 63x^3y^5 term and the 45x^4y^3. Once it was factored out you can simplify the numerator and denominator :)

[@aidanpotts7157]

@@SeanyKrabs Hey Seany take a look at the explanation below. Hope that helps :)

[@adriandano3966]

Omg tysm My teachers suck at online class so their lessons suck!!

[@aidanpotts7157]

Hahah not too many teachers are great with tech so I can imagine that's the case. Learning on KZbin is a life saver!

[@mathfullyexplained]

Try my channel mathfullyexplained. There is a full unit on rational expressions plus more units

[@stanleyman4100]

Thank you for your lesson

[@facelessgaming3594]

thanks i almost perfected the exam but the essay and multiple choice 67/75

[@JuanRodriguez-fe1ss]

Thanks for your videos!!

[@AwesomeAlex4810]

who else studying last minute for an exam, I ain't passing anyways.

[@jino5693]

Its freaking 3 in the morning and this is due this afternoon lol

[@mathfullyexplained]

Try my channel mathfullyexplained. Unit on rational expressions plus more units

[@klein8205]

14:00 i cant get it why would you cancel everyrhing exccept the 2 and x plss elaborate more so i can understand because im struggling in multiplicationa nd division in rational expression

[@aidanpotts7157]

Hi Carl! So here we ended up with x/2 because cancelling (really means simplifying) all the other variables could be cancelled because they had a value of x/x or y/y which is really just 1/1 which equals 1! The x/2 was the remaining answer because there was no 2 in the numerator and similarily there was no x in the denominator so we couldn't cancel (or simplify) further!

[@klein8205]

Yup i knew it it before i figured it out thxks for your answer but i already know how thxks

[@mathfullyexplained]

Try my channel mathfullyexplained. There is a full unit on rational expressions plus more units

[@sallylally7047]

Best channel

[@behindthecouch1]

u are the best

[@mathfullyexplained]

Try my channel mathfullyexplained. There is a full unit on rational expressions plus more units

[@faithkhloemaquilingocang6440]

Still second year high school, this really helped me. Thank you :3

[@Tiredsg]

40:05 i dont get why he changed the negative sign to a positive pls help me ❗️

[@mathfullyexplained]

Try my channel mathfullyexplained. There is a full unit on rational expressions plus more units

[@abdelismael386]

Bruh, even though there are some errors on how you solve, I don't blame you lol Math is hard huhuhuhuhu. This help a lot though you have my gratitude :)

[@mathfullyexplained]

Try my channel mathfullyexplained. Unit on rational expressions plus more units

[@bearmanpig1568]

@@mathfullyexplained try my channel where I explain spamming the comment section to plug your channel is in bad taste.

[@mathfullyexplained]

@@bearmanpig1568 just giving people an option to view my units with videos done in a sequence. I though the more explanations could lead to a better understanding.

[@archerdev]

Numbers bless you man

[@johng6974]

At 16:35 can't your just multiple straight through. Using the exponent rules/combining like terms?

[@zackoraiz7510]

I am already ahead of our lesson bc of this video

[@filipborin555]

That was a great one stuff bro.Thanxs

[@mathfullyexplained]

Try my channel mathfullyexplained. Unit on rational expressions plus more units

[@shady8099]

22:31 why did he factor by 2 and not 8? i know he said its twice as much as the other term but youre supposed to factor by the GCF. if he had factored properly they wouldnt cancel, would the answer be incorrect? or am I wrong?

[@shady8099]

only asking cause if i was doing a test theres no way in hell id notice that one term is exactly twice as much and know that if i factored by 2 it would allow me to cancel terms.

[@wafIeee]

his writing has gotten so much better over 6 years loool

[@Muzammilkhan-xn9km]

Sir you are great but you make a mistake at the time of 34:45 plzz correct this

[@vanitychito1110]

Was the mistake was that he didnt substitute x squared + 11x 28 and x squared + 2x - 35 ? cause the whole solution was right bro

[@lisasouthe5168]

Very helpful

[@mathfullyexplained]

Try my channel mathfullyexplained. There is a full unit on rational expressions plus more units

[@archangel4218]

I’m just a grade 9 student and dis is our lesson like wow

[@cornerstonetartar8589]

ARCHANGEL42 I’m a grade 8 student and dis is our lesson like WOW

[@dielldevaja3579]

o0O O0o im a kindergarden student and dis is our lesson like WOW

[@dielldevaja3579]

Tiara Howard oh my goood im so sorry

[@mathfullyexplained]

Try my channel mathfullyexplained. full unit on rational expressions plus more units

[@anonymousanonymous6301]

Thank you!

[@mathfullyexplained]

Try my channel mathfullyexplained. Unit on rational expressions plus more units

[@lotoyawilson5971]

Who’s here because of a test or quiz✋🏽 👇🏾

[@Genedide]

What's the proof for why cross-multiplying fractions like 1:09:34 works? Why not just multiply straight accross?

[@kazuya3849]

it's an equation, not just a fraction

[@etiennemarais3750]

At 40:24 you multiply by y-2 instead of 2-y or am I missing something ?

[@franciscojosedasilva5990]

Very good great