Adding and Subtracting Rational Expressions

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How to Add and Subtract Rational Expressions - Simplifying Step by Step
In this video, I explain how to add and subtract rational expressions by finding a common denominator and combining terms. I walk through multiple examples to show how to handle different cases, such as simple denominators, polynomials, and factoring.
What You Will Learn:
How to find a common denominator for rational expressions.
Step-by-step examples for adding and subtracting rational expressions
Techniques for simplifying rational expressions after combining them.
How to handle more complex cases involving polynomials.
Tips for factoring polynomials to find the least common denominator (LCD).
By the end of this video, you'll have an understanding of how to work with rational expressions and simplify them efficiently. This is perfect for algebra students or anyone looking to brush up on their skills in adding and subtracting rational expressions.
If you find this video helpful, please subscribe, comment, like, and share it with others who might benefit!
Support my math content on Patreon:
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#RationalExpressions #AddingRationalExpressions #SubtractingRationalExpressions #SimplifyingRationalExpressions #Algebra #PatrickJMT #MathHelp #AlgebraHelp #RationalExpressionsExamples #MathTutorial #RationalExpressionAddition #RationalExpressionSubtraction #FindingLCD #RationalFractions #AddingFractions #SubtractingFractions #PolynomialFractions #RationalExpressionSimplification #AlgebraConcepts #LearningAlgebra #RationalEquations #SimplifyingExpressions #MathExamples #SolvingRationalExpressions #MathTechniques

Опубликовано:

16 окт 2024

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Комментарии : 547

@SniperStorm7 10 лет назад

Always my backup plan when I dont understand what my teacher is talking about

@yrah8468 7 лет назад

alright

@fintansky9369 6 лет назад

TempestZero i dont understand this guy

@timmy2363 5 лет назад

same

@scar8656 2 года назад

It’s been 8 years where are you in life!

@patrickjmt 14 лет назад

@Mcciiee monetary gifts are always accepted! : ) you can donate on my old website justmathtutoring... there is a link on my channel page. thanks a bunch!

@patrickjmt 13 лет назад

@Itsmyfaceonthescreen do you mean (6x+8) / ( 2x + 2y) ? if so, the answer is no. you can factor a 2 out of the numerator and denominator and cancel those however.

@PianoMatronNeeNee 10 лет назад

You make it so easy to understand, truly a gifted math teacher. Thank you!

@patrickjmt 14 лет назад

@RhiannaCzennelle what is a rational equation?

@patrickjmt 14 лет назад

@crazyjloop89 you can not post url's as comments as youtube blocks them. there is a link to my website on my channel page.

@sabrinat7608 9 лет назад

I no longer need to go to class... Oh, wait. Participation points... gah! Thanks so much! This is way easier to understand then both my TA and Professor! They need to take some pointers from you!

@sabrinat7608 7 лет назад

? Why is that terrible? I'm not good at math.

@annebishop5132 7 лет назад

y'all... there are more advanced classes in college that teach the same things as lower grades

@keepmovingforward8821 5 лет назад

I’m a sophomore learning this

@BunnyHanyou 15 лет назад

Why cant my professor be as relaxed as you are? Seriously...he PURPOSELY makes these types of things confusing, even though you've shown me that they aren't. Thanks so much.

@onezephyr4515 10 лет назад

Why the hell can i learn this in 7 minutes in like 2 equations but my teacher cant do it in like 45 minutes to 2 days. ////\\\\\

@beyondyou3923 7 лет назад

Isaiah Miller because you have a class consisted of more people than you and and your learning

@onezephyr4515 7 лет назад

Beyond You Whaaaa????

@b3N0_jojo 7 лет назад

Isaiah Miller ikr

@joshualyttle9059 7 лет назад

Beyond you yeaah true, but still....

@jemuelmongado5030 8 лет назад

Most RU-vidr Math tutors ive seen are left handed, and i have to say you are the best one ive seen. Thanks a lot.

@Lisasingsalot 16 лет назад

you helped me with my online math class soooo much.Thanks!!! You still rock dude

@patrickjmt 13 лет назад

@2Larissa2 i have LOTS of videos on complex numbers. : ) do a search on my videos on my channel page!!

@patrickjmt 16 лет назад

ha! dont get mad! math is haaaaaaaaard! especially the stuff that you feel like should not be! i always got stuck on everything, so do got give up hope. work on it for a while, get frustrated, try again, get more frustrated, put it away, and come back to it later. that is the recipe for success in math.

@OfficialCzarLA 11 лет назад

Thank you sir! You are help not only to us people at 11 p.m. trying to do homework & don't understand it, but to the people who don't have access to education and come here to learn, you are awesome!!!

@Sherri181 15 лет назад

Again, I cannot express my gratitude! I've bought a pre-cal book that is impossible to decipher! So, I've just been reading the topics in the book, then going to your videos, then doing the exercises in the book. As far as the explanations are concerned, I only go to you! THANK YOU!

@robellehyacinthsombrio964 10 лет назад

thanks for showing the step-by-step process on solving it...You made it easier for us to understand...

@patrickjmt 13 лет назад

@lilcrazyaznboy i agree, a lot of this is not used in real life for most people. i do not make the curriculum however, i just try to help you get through it.

@iknowwhatyourethinking6404 7 лет назад

WHO IS WATCHING BECAUSE THEY HAVE A TEST ON MONDAY

@megpoidgumi339 7 лет назад

MEEEEEEEEEE I WANNA DIE

@montypigofthedoodleclan8659 6 лет назад

I hate mondays...

@nightmarejg8490 6 лет назад

Meh

@weedygonzales5495 6 лет назад

I hate math

@byennbye 6 лет назад

Me ikr math so hard

@patrickjmt 15 лет назад

happy to help!

@BrittanySuoh 7 лет назад

Your videos are honestly so helpful and easy to understand. Like you have done a WAY better job at teaching me through your videos than my actual teacher does everyday. So thank you for that.

@HuddleNorth 16 лет назад

Thanks alot for the video! I'm in nursing school and have to pass my math class, with your help it makes it alot easier to reach my goals!

@patrickjmt 16 лет назад

thanks! i appreciate it!! good luck on the exam tomorrow!!!!

@99horcruxes 12 лет назад

8 minutes of a youtube video + soothing voice > 90 minutes in class + monotone voice. And I learned more. Thank you youtube.

@johngiocabbuag3056 8 лет назад

patrick your videos help me a lot for my periodic test this monday! keep making educational vids! much love and respect man!

@theonlyreega 12 лет назад

Man I appreciate your video it saved me from spending a lot of time from reading over notes and getting confused. I liked and subscribed, thank you for the incredibly helpful video!

@aprilg5694 8 лет назад

Thank you so much! My teacher is absolutely dreadful and you've taught me more in one video than he has this entire year. You made a great video, thank you, again.

@pollenectar1282 6 лет назад

You make my life easier. I consider you as my savior, i have a report tomorrow and i don't understand about this lesson, but in this video; i learned how to do it. Thnaks man

@mayocha 14 лет назад

omg! you've helped me more then my teacher has this whole semester. I have last chapter test tomorrow and finals on Wednesday... I am also going to watch all your videos.. on rationals.

@patrickjmt 15 лет назад

totally dig your style... you remind me of the glam rockers of the late 70s (the cool ones that is) - you should come to austin, you would totally fit in

@erikasvideosaregreat 14 лет назад

This was really helpful! My math teacher just barely explains anything to us and kind of throws us in the dust so this was really a great help. Thank you so much! I will definitely be watching more! :)

@TheRealNationalist 13 лет назад

Absolute genius! Thanks so much for this free help. The world needs more people like you!

@TheRammy12 11 лет назад

Man my teacher makes/explains everything so complicated.I dont know what hes talking about the whole time. But this guy, my cyber teacher, helped me alot more than my actual teacher lol

@PvtDancer1 11 лет назад

Thank you so much man what you're doing is great, I love anyone who is willing to help people, this really made my day

@erikarosee 8 лет назад

this helped, a lot ps: i still hate math 🙃

@irenelai5580 8 лет назад

you have beautiful handwriting O_O

@patrickjmt 16 лет назад

nice to know i am still rockin'! : ) glad i could help

@Videogamefangirl 12 лет назад

You are helping me for my exams SO MUCH. Thank you so, so much for your tutorials! They are helping me immensely!

@AkshayKumar-eq3ix 5 лет назад

That was really helpful. I missed a bunch of days in math class and this just summed up what my teacher had taught us for an hour and a half.

@jimenaslp 10 лет назад

This helped sooooo much! I wish you were my teacher 😭

@patrickjmt 12 лет назад

i have seen this stuff in high school myself and a million times when tutoring other students. many students jump right into calculus in college, so of course those students have seen this stuff in high school

@konigutierrezcruz 9 лет назад

been using your videos for my students to watch too as a reinforcement for my discussions, thank you!

@GuerillaMusic7 11 лет назад

After not doing maths for about 3 years, this was easy to learn again. Thanks!!!

@sakechan4ya 16 лет назад

Thanks so much your video was simply and very straight forward! I totally forgotten how to the rational expressions, I really appreciate it! I will definitely be checking out more of your videos soon!!! Thanks!

@SpartanDara 12 лет назад

I LOVE YOU. my math teacher is horrible at explaining things. out of a chapter of 6 lessons, he taught us 3 in one day, 2 in the other, and didnt bother to teach one at all. Rushed through everything. He then left to travel with the varsity basketball team. horrible stuff lol. if it werent for you, i dont know what i would do

@Adamd170 16 лет назад

Thanks man have big test tomorrow and i didn't understand a thing until i watched your video going to tell all my friends about you

@P_fromTheValley 6 лет назад

I really appreciate that you've taken the time to make these videos. They're incredibly helpful. Thank you! :D

@kathymarieh 15 лет назад

wow. i was really struggling with this but you helped me out a lot. thanks a bunch! this is the best free tutoring on the internet! :D

@cheezycrackers222 11 лет назад

Amazing. Supremely helpful. I looked at this right before a test and hopefully I'll do well now.

@GonzoLeFonzo 14 лет назад

you really saved me! i was just learning this math lesson and i couldnt understand how to make it the same common denominator, well, my teacher does it in a different and confusing way, but yours is more understanding! you really saved me thanks!!!!!! :D

@GuardMou 14 лет назад

Missed this lesson in class yesterday. Thanks a lot for the help.

@danibrio 16 лет назад

It was really helpful. Thank you for taking the time to provide this explanation

@Hipstartist 12 лет назад

Bless your soul, for putting these tutorials up. I know where I'm going when I need help with college algebra. Holla. Peace and blessings

@bangtanbangbangtan868 8 лет назад

I don't get it... I used to love math but now... with my new math teacher... well .. i don't know.. she's really quite fast.. and using some difficult methods.. and I don't like the way she teach.. so I research about our topic and find out how to solve it then I found this.. I don't know but I still don't get it.. I was the best math student when I was in 7th grade but how come now??

@sachipotato7494 8 лет назад

ARMY spotted xD Hiiii xD Goodluck ^w^)/

@bangtanbangbangtan868 8 лет назад

+sachi Potato haha thanks! 😂

@sachipotato7494 8 лет назад

+SVS Jeul Same tho, Math is veryyy hard but we should be leik Namjoon xD

@bangtanbangbangtan868 8 лет назад

+sachi Potato I want to be as smart as namjoon... I want his knowledge tho..

@bangtanbangbangtan868 8 лет назад

+SVS Jeul haha

@raven91810482322 10 лет назад

You're left handed, wow that says a lot. GOD BLESS you more ... your videos helping me out.

@farheenyousuf6199 4 года назад

Thanks for the wonderful explanation of rational equations addition and subtraction!

@41tunesquad 13 лет назад

Lord thank you for giving Patrickmjt to us! i am very thankful that your a great teacher through internet Tomorrow is my exam and i am reviewing right now in math

@ViperishTiger 12 лет назад

THANK YOU SOO MUCH!!!!! YOUR TUTORIALS ARE SO EASY TO UNDERSTAND!!

@shawnmarion9692 10 лет назад

Truly a life saver, thanks man!

@tesla845 6 лет назад

Thank you. Very easy to understand the way you explained.

@letrasrojas306 6 лет назад

You are the best man, you just won a new subscriber, god bless you!

@lolol123ppsh 11 лет назад

Thank you playa :) I learn way better from you than my Alg 2 teacher that I have an A in.

@Marcus56667 9 лет назад

Really awesome video!!!! Helped me to finally understand how to substract or add rational expressions :D

@blastand24 12 лет назад

If you know the "Box method", You can do it backwards OR the FOIL method. (x+2)+(x+3) FOIL it. x(x)=x[squared]. x(3)= 3x. 2(x)= 2x. 2(3) = 6. Now, add like terms. x[squared]+(3x+2x)+6. FOIL stands for First Outer Inner Last. In this case, x and x are First, x and 3 are outer, 2 and x are Inner, and 2 and 3 are Last. Hope it helps

@settenicoleloves1D 12 лет назад

Thanks so much! You helped me with my periodical exams for tomorrow.

@patrickjmt 16 лет назад

glad i could help!

@danielle604 6 лет назад

This helped me alot because i don't understand what my teacher at school is talking about didn't understood a thing btw thanks for this tutorial it helped me alot on my upcoming exam!

@windshadowx 14 лет назад

Thank you very MUCH for the help, Patrick. Saved me from failing my math test.

@patrickjmt 12 лет назад

yep, that is what you would do. same exact idea, only the algebra would get more messy

@patrickjmt 16 лет назад

but i appreciate that you take the time to let me know i am helping!

@patrickjmt 14 лет назад

@ntr11023 well, this stuff is not exactly interesting (much like hammering a nail in a board is not interesting). however, when you can do this and some other 'boring' stuff, all of a sudden you can make something interesting (like a house). to say it is not applicable is, of course, extremely far from the truth. to say that most people have no idea HOW to apply it would be much more accurate.

@purplevolleyball1 11 лет назад

thank you for making this, my math teacher doesn't know how to teach and you just saved me from failing a test tomorrow

@johnnyboymacaraig818 8 лет назад

exuse me sir i have a question. in your example no. 2 they have common factor in top and botton. in that case it possible to cancelled the common factor?? thank you.

@patrickjmt 16 лет назад

no problem. glad it helps

@toystory177 10 лет назад

thanks!you helped me a lot!!!!now im ready for my test tom!!!!!

@cassidylouwerens1768 9 лет назад

This makes much more sense to me now. Thank you! Great math teacher.

@keepmovingforward8821 5 лет назад

My teacher said she’ll move me to H pre calc if I understand this concept, all I needed were two videos from you THANKS!

@patrickjmt 14 лет назад

@anythingwithwings good luck on the exam!!

@patrickjmt 16 лет назад

thanks! my mathematician/artist wife is always trying to get me to draw. she likes my simple stuff! but, i get nervous when she watches and i usually scribble everything out! : ) so, i never develop past stick figures : ) she really likes my leonardo (from the teenage mutant ninja turtles) that i drew from one of the very old comics. but i was about 8 years old then, so i think she is just being nice!

@DarkRacers 10 лет назад

You're Great Teacher Man

@seiji6855 7 лет назад

it's like late in the evening and i have to study for a test tomorrow aND I STILL DONT UNDERSTAND BUT YOU AWESOME BRO I UNDERSTAND WHAT YOU MEAN

@patrickjmt 15 лет назад

it was a brilliant leap!

@theunknown_nj 7 лет назад

You explain better than my teacher. I hope I pass my test.

@bobhappy6448 7 лет назад

Did you pass?

@markusbanks3465 6 лет назад

Bob Happy don’t think he did?

@portgasdann3389 6 лет назад

I hope he did lol because im sure af I'll fail mine

@patrickjmt 14 лет назад

@timwarner2012 i am just getting common denominators

@patrickjmt 14 лет назад

@TheLovelyClouds that is what i am trying to do : ) glad i could help.

@patrickjmt 11 лет назад

yep, same process. i should have some examples somewhere dealing with that...

@g-ridez1460 8 лет назад

you sir are a saint

@achayo2154 7 лет назад

The best part of this online teaching video is that u can pause and replay what you didnt get without classmates judging you :-)

@CherudimFX 11 лет назад

this guy would be the best teacher ever if i had him!

@YTesko1r2d229 13 лет назад

i feel sad for the other videos about math. your the top dog!

@petups23 12 лет назад

Thank you Patrick, that was really helpful!!! Gettin ready for finals!

@BrittBriMaire13 11 лет назад

That you so much! This taught me what I needed to know for my test tomorrow!

@AshiharaNakatsu12 13 лет назад

Thanks for the help, but I need an answer A.S.A.P. at 6:45, I see you distributed your signs there, How do you know if you have to distribute your signs?

@patrickjmt 12 лет назад

@yachiruvicecaptain it does not equal, so you should not get it.

@Nellynellzzz 9 лет назад

why didn't you combine the numbers in parenthesis or distribute then to be in simpler terms?

@Greenboy005 14 лет назад

Thank you. You make it look so easier.

@JotheGr3at 7 лет назад

I'm watching this because I failed my test which involved this, and I have another test involving this tomorrow and I couldn't understand it from anywhere else ahaha

@yondy12 16 лет назад

you are my hero man... thanks for helping me, i punched 4 holes in the wall and shattered 2 glass bottles while frustrated at not understanding this... usually im a 96% average student and it made me extremely mad when i didnt understand this..