Adding Rational Expressions [fbt] (Adding Fractions with Variables)

[@chendyz4724]

THES JUST NUMBAS. THEY AINT HURT NOBODY

[@donnasmith9501]

I did high school algebra 50 years ago and now have decided to get my accounting degree. Algebra has changed a lot since then..Thank you for your help. I'm so glad I found you guys. I already passed fundamental math with your help and I'm half way through Algebra..My head spins but the way you teach is really, really helpful. Thank you Mr Witt!!!

[@FortBendTutoring]

I'm very proud of you Donna! I truly value the effort you're putting into completing your degree! Good luck 2 you and keep excelling in your endeavors!

[@donnasmith9501]

thank you, you guys have really helped with the math part..in that, you're my new best friend!!

[@alisque433]

OH MY GOODNESS! THESE VIDEOS REGARDING RATIONAL EXPRESSIONS HELPED ME SOOO MUCH! Thank you Mr. Whitt!! My teacher can't teach very well and I finally understood it! It's my exams tomorrow so I'm currently cramming. Thank you for these videos! 😭

[@FortBendTutoring]

+Donut CAKE 03 My pleasure! Good luck on your exams tomorrow! I'm rooting 4 you!

[@safehaven9014]

I like the way he said, "Remember, this is just numbers. They can hurt nobody." Thanks Mr. Witt. I somehow like math because you made me understand every single shit. I'm happy to say that I'm already not spending any tears just to understand and process what my math teacher's saying every time we're having a class. Thanks a lot.

[@FortBendTutoring]

My pleasure Safe Haven! Thanks 4 the feedback and support! 😁

[@carnivalwrestler]

You cover so much in so little time, and yet, you make everything so clear, easy to grasp, and easy to retain. From the comments I read, it seems that this is not happening in our schools, and I wonder why. Maybe some math teachers need to watch your videos. They could make a math pedagogy course for teachers from your vids and put it into their state certification requirements for math teachers. Just a thought.

[@FortBendTutoring]

Wow! Huge compliment! Thanks 4 your thoughts and kind words CarnivalWrestler! Obviously there’s God-given talent, expertise and experience involved in creating each video (not trying to come off as bragging, but blessed), but I create each video as how I would want to be taught. Coming from that angle it really simplifies the process. 👨🏾‍🏫😁

[@jomimi1225]

thank you sooooo much! it really helped~ you're a life saver! i'm an architecture student and i'm having a hard time understanding math, please keep uploading videos. you're helping alot of people especially students! thank you so much!

[@FortBendTutoring]

We'll do our best Jomi! Thanks 4 watching!

[@ryoutakise9429]

I have been watching all of your videos concerning rational expressions and to my conclusion it was a really great help. thanks Mr. Whitt

[@FortBendTutoring]

Happy 2 help Ryouta! Thanks 4 watching!

[@Katz93065]

Great Lesson! I like how you rewrote the fraction, factored out the -1, ultimately changing the problem to work. Thank you.

[@adamwheeler3822]

Keep up the amazing work Mr.Whitt. Ive been a follower of your videos since i was a freshman in high school an I'm about to graduate as a senior. You've really helped me out a lot over the years and i am very grateful for everything you have done. Thank you Mr.Whitt.

[@FortBendTutoring]

+Adam Wheeler You're very welcome Adam! I'm happy 2 hear that you brought me along on your academic journey! Congratulations 2 you on your upcoming graduation. I'm very proud of you!

[@angelaclarke2127]

Clear and concise as always. Thanks Mr. Whitt.

[@FortBendTutoring]

My pleasure! Glad to help!

[@farheenyousuf6199]

Thanks for such an easy explanation for the rational expressions!

[@aldjeus]

Educational and entertaining...Thank you Mr.Whitt! You're awesome!

[@FortBendTutoring]

Thanks! Happy 2 help!

[@christineking5017]

I'm so glad I found your videos! Best on utube by far, and I've tried many. Khan Academy ain't got nothing on you! : ) Thanks for helping me pass math this semester! I couldn't have done it without you

[@FortBendTutoring]

My pleasure Christine! Congrats on your success in your math class and thanks so much 4 watching!

[@toriasmith2880]

these videos are the reason im passing my math class this semester . thank you for the help

[@FortBendTutoring]

Happy 2 help Toria! Thanks 4 watching!

[@EarthScholar]

same here.

[@BU-sj2gn]

this guy out here saving lives!!!!!!!!

[@FortBendTutoring]

+B U lmao! I’m doing my best B U!

[@punditgi]

Another fine video from FBT. Love those red boxes. Done and done! 💘

[@FortBendTutoring]

Done and Done! 😎👨🏾‍🏫

[@cailleoira9876]

I appreciate your videos a lot.I'm currently studying in advance as a preparation for grade 8. Everyday, I watch your videos and I'm so lucky I've found the right teacher :D Thank you so much :D Looking forward for more videos :)

[@FortBendTutoring]

+Exotic Army Way 2 go! That's a great plan! Please continue 2 practice and grade 8 will be a breeze! Good luck 2 you!

[@caradelevingne9811]

Hi! in 13:43 can you factor the 2x^2+8x-6 by quadratics?

[@FortBendTutoring]

+Cara Delevingne Hi Cara! Other than factoring the GCF of 2, it's not factorable.

[@ludovicusnonus2091]

Thank you, Mr. Whitt! I finally understood it.

[@FortBendTutoring]

Great! Thanks 4 watching!

[@keissvermanlapaz4621]

Thank you for these videos!! It helped me so much in my math class... I got high grades on it!! :) And now our periodical exams are coming, so I watch almost of your video about Rational Expressions for reviewing.. And I thank you so much for it!!

[@FortBendTutoring]

+Keissver Manlapaz My pleasure Keissver! Happy 2 help! Good luck on your periodical exam!

[@gie8256]

Continue doing videos please! I'm on my 8th grade and this is really helpful! Thank you! ☺️

[@FortBendTutoring]

You're very welcome! Thanks 4 watching!

[@sakurahimekaden9755]

same

[@MineskiGaming]

Thank you Mr Whitt for teaching this lesson. This really helped me for my quiz tommorow. -Gian. From the Philippines🇵🇭

[@FortBendTutoring]

My pleasure Gian!

[@lenniejoaquin7091]

Im quite confused in 7:48. How did it end up being (4x+4-3x'-3x)?

[@karilee568]

I wish you were my teacher! Thank you. Everything is explained so well.

[@FortBendTutoring]

You're welcome Kari! Thanks 4 watching!

[@zoey1523]

This channel: *exists* Teacher: *aM i a jOkE tO yOu?*

[@FortBendTutoring]

Thanks! I figured that would be a neat technique to include in the video. Glad it was helpful!

[@gopissgirl4426]

this is better than khan academy!

[@FortBendTutoring]

Wow Deannneee Karinaa! That’s a huge compliment! Thanks! 👨🏾‍🏫

[@allanaerispe3780]

Thank you Mr. Whitt! 😄 It helped me to easily understood the process. We will gonna have a long quiz tomorrow. 😄

[@FortBendTutoring]

+Allana Erispe Good luck Allana! I'm rooting 4 you!

[@joelbating5136]

This is the best video,I've watched

[@FortBendTutoring]

+Joel Bating Wow Joel! That's a huge compliment! Thanks 4 watching! 😁

[@TeamBunog]

how did you get the 2x-2+4x+4-3x^2-3x? thx if you respond 7:47

[@FortBendTutoring]

I got my ARROWS POPPIN' Builderboy! You can check out the process in these two videos: kzbin.info/www/bejne/f6vJkKB9htB4pNU and kzbin.info/www/bejne/jqeuY2RmjapjY9k

[@dennissalas727]

I really love this. I always watch your video everytime I have a difficult understanding in RAE. Honestly when my teacher discussed about this I really got a tough time. It sucks. I mean to be honest I like math, love to be exact but not in all times math is easy. It gets harder and harder when we get older. But RAE maybe the hardest topic I've ever encountered in life. Like really. But so I realized its not. It takes time to realize that math is easy if you do put a effort to study. So thank u very much for this.. I really appreciate. I really do.

[@Hyore1]

Tom is our exam about RAE Add subtr Div Mult ty for this I hope your channel gets bigger in the near future :D

[@FortBendTutoring]

+Eggscellent Good luck on your exam and we hope so 2! :-)

[@kirstenramano634]

tom is our finals for math and this helped me so much so thank youuuu!!!!

[@FortBendTutoring]

+Alyx TheTheDino Good luck in your finals Alyx!😁

[@victoriadeleon6791]

This really helps me a lot. God bless you! P.S. You almost sounded like Morgan Freeman, AWESOME!

[@FortBendTutoring]

I wish! He has a very cool voice! Lol

[@dmkebert]

I would love to know the name of the tablet and stylist you are using. Very thorough lesson and easy to follow!

[@FortBendTutoring]

Apple iPad Air and Adonit JotPro Stylus.

[@shidi-ishido]

I passed my exam because of this!!! Thanks!!

[@FortBendTutoring]

+Pinkyy Pop Congratulations Pinkyy Pop! Love your name btw! Keep up the great work! 😁

[@ambassador_hoot]

This video helped me greatly to prep for my calc class. I really appreciate your videos. May I ask what app that is you are using.

[@FortBendTutoring]

Happy 2 help Jim! The app is called Penultimate by Evernote (I use a much older version).

[@ididsomething5753]

Big help ty😊

[@FortBendTutoring]

Happy 2 help JayV!

[@sugakoushisenpai]

How did you get 4x-4 at 7:41 ?

[@FortBendTutoring]

I multiplied the binomials in the numerator. Here’s a video 2 help with that process: Multiplying Binomials: The Distributive Property and FOIL Method [fbt] kzbin.info/www/bejne/npS8iqCmiq6dh7M

[@nalihewage]

Mr. Whitt, why did u add the minus to the 1st denominator? can't you do it to the second? please explain.. Thank you for helping.

[@FortBendTutoring]

It was to get common denominators. You could do it to the 2nd denominator instead of the 1st to work out the problem.

[@sharonbayta7880]

i just found this video i hope i could pass our quiz tomorrow!

[@FortBendTutoring]

+sharon bayta Me 2 Sharon! Good luck on your quiz tomorrow! 😁

[@yvonnecastillo8180]

thanks for all! your the best! i can get it now

[@FortBendTutoring]

+yvonne Castillo Happy 2 help Yvonne! Thanks 4 the support!

[@leaguegamer9182]

on your 4th example on the last part it's confusing me is it really positive 12 negative 6 is equal to positive 6 sorry for my bad english

[@FortBendTutoring]

Yes, 12 - 6 = 6.

[@peskyplanet]

Tomorrow is my exam about RAE , Thanks for teaching Mr whitt.

[@haru8482]

I will have my periodical exam tommorrow, Thank you for this😊

[@FortBendTutoring]

Good luck with your periodical exam tomorrow Denise! I'm rooting 4 you!

[@nalihewage]

This video really helped me. I totally understood. Thank you Mr. Whitt!!

[@FortBendTutoring]

That's great news Nalindra! Thanks 4 the feedback!

[@raygodinez1501]

Mr Whit is there a way quick way (or test) to find out if a certain equation cannot be factored? Thanks sooo much for your lessons. They are a Godsend!

[@FortBendTutoring]

You can use the "general strategy" for factoring which just analyzing the equation/expression to see if can be factored using any method. kzbin.info/www/bejne/jYKVpqSposajgtk

[@authybonita6867]

The last number kinda confused me but thank you very much, great tutoring video, I understand it. =)

[@FortBendTutoring]

No problem Soner! See you in class!

[@haru8482]

do you have worksheets?

[@FortBendTutoring]

We have released a few workbooks and notes for sale at Shop.TutorMeMath.net . Thanks 4 the inquiry!

[@wenkwonkimseventeen737]

It's good! We understood the lesson, finally. Thanks a lot! 😘 Lovelots, KGirls ❤️

[@FortBendTutoring]

+KGirls PH Official My pleasure! Thanks 4 watching!😁

[@LoveliiChocolatex3]

Thanks! Is that an ipad? How can you directly write with it with a pen?

[@FortBendTutoring]

Yes, it's an IPad. I'm using a JotPro from Adonit. It's a stylus, not a pen.

[@inluvwithds]

great video!!! THANK YOU

[@FortBendTutoring]

Thanks and you're welcome!

[@a.koolinallday364]

where did the -pq come from when you factored the numerator

[@FortBendTutoring]

The -pq is part of the factoring pattern for a sum of cubes. Check out our video "Factoring: Sum of Cubes". kzbin.info/www/bejne/i2qcZ4Nuf8aFrqs

[@markuzalvarez5650]

VERY THANK YOU FOR YOU DUDE!!!👌👍👍👊👊

[@FortBendTutoring]

Happy 2 help Markuz!

[@jannethtoledo5547]

do rational expression and rational algebraic expression same?

[@FortBendTutoring]

+Janneth Toledo Yes

[@forceducttape]

Thank you so much!

[@FortBendTutoring]

You're welcome Lily!

[@cheynal-seymonereid5410]

In problem number two, the "pq" equation, how did you "lose" the cubed exponents of the numerators in step two?

[@FortBendTutoring]

This should help: kzbin.info/www/bejne/i2qcZ4Nuf8aFrqs

[@cheynal-seymonereid5410]

That was the video I watched and am asking about.

[@outsmart6931]

ey fort bend tutoring could you help me in my problem...I wanna solve m squared over m + n plus 2mn + n squared over m + n.... what should I do with the first numerator which is raised by squared tnx

[@FortBendTutoring]

Just add the numerators and list the terms in descending order of m so that the numerator is m² + 2mn + n² over m + n. Then, factor the numerator and simplify.

[@czarenallyzamonisit4642]

tomorrow is my Periodical test in math I have found sanctuary (lol)

[@FortBendTutoring]

+Angel Heart [Monisit] Yu-Gi-Oh Good luck on your exam! I'm rooting 4 you!

[@Msbadboy1968]

this helped me as always thank you 🙏

[@FortBendTutoring]

+Trixia Amara Thanks 4 the feedback Trixia! 😁

[@gamemodejm]

Mr Whitt your the best

[@FortBendTutoring]

+Game Mode JM Thanks 4 your support!

[@pewdiepiefan0944]

FINALLY I GET IT

[@FortBendTutoring]

Happy 2 help Rin!

[@justsomeone6041]

I'm also confused with the 3rd problem about the denominators =( please help

[@FortBendTutoring]

+Adam Angar Check out the last few problems in this video: kzbin.info/www/bejne/o6CvlZqhfM-ljas

[@lykaabregana7174]

Mr. Whitt, why didn't you factor out the numerators of both terms first since they can be factored out by gcf?

[@FortBendTutoring]

+Lyka Abregana Our goal is to add the expressions, so focus on that task first. After finding the sum you can then attempt to simplify, if possible.

[@lykaabregana7174]

oh i get it now, thanks a lot! :)

[@samueldeng9385]

What stylus is that? It looks so cool!

[@FortBendTutoring]

+Samuel Deng It's a JotPro Stylus from Adonit.

[@hubbiemid6209]

What program do u use?

[@FortBendTutoring]

An older version of Penultimate by Evernote.

[@hubbiemid6209]

Fort Bend Tutoring Thank you for the very quick response. Adding and subtractions these expressions weren't as easy I thought. ur vids helped a lot :)

[@victoriadeleon6791]

How would you do if you have 3 terms?

[@FortBendTutoring]

Same process. Find the common denominator and make equivalent fractions. Then, combine the numerators and simplify.

[@stephanied.5709]

I don't get it. :( the part when you distributed 2 to (x-1) in number 2. How did you get 2x-2+4x+4-3x^2-3x

[@FortBendTutoring]

+Stephanie Domingo I used the methods shown in this video: kzbin.info/www/bejne/npS8iqCmiq6dh7M

[@stephanied.5709]

Fort Bend Tutoring Thank Youu so muchh :))

[@nadiachin283]

Mr Whitt, you’re good but dang, I have to eat, get some sleep and come back to this topic

[@Logano0o0o0o0]

This helped a lot thanks.

[@FortBendTutoring]

You're very welcome!

[@kirsten6651]

How did you get x-1?

[@kirsten6651]

on 11:27

[@FortBendTutoring]

I’m rewriting the first term as an equivalent fraction. Comparing the original factored denominator with the LCD I’m missing a (x - 1). Therefore, I multiply the numerator and denominator by (x - 1) in order to create an equivalent fraction which can combine with the second term.

[@nelsonmaribao3516]

Thank u so much!

[@FortBendTutoring]

You're welcome Nelson!

[@loveleighpascual8665]

What app is that?

[@FortBendTutoring]

It's an older version of Penultimate by Evernote.

[@loveleighpascual8665]

+Fort Bend Tutoring thanks

[@jeremiahdeanvitug8537]

why did you not divide out and why did you distribute.......... in question number 3

[@FortBendTutoring]

Depending on the step you're referring to, dividing out takes back to a previous step. The process is the same as adding fractions with numbers. You must first identify a common denominator and then create equivalent fractions using that common denominator. We distribute during the process to help us combine like terms when we add the numerators.

[@JD-ez8fg]

Mr. Whitt,why put ( ) a round 4-3x and not on the 2

[@FortBendTutoring]

It’s because it has multiple terms, two in this case, and I’m ensuring the next step is setup correctly. (4-3x)(x+1) and 4 - 3x(x+1) are not the same while 2(x-1) and (2)(x-1) are the same value. So you can always put parentheses around both, but sometimes you don’t have to depending on the expression (for instance, when multiplying one term times two terms).

[@angeldustcayamanda2793]

Thank you very much :)

[@lykaabregana7174]

Mr. Whitt, in the 3rd or 4th problem i think (i forgot) we can still factor -3x^2+3x+2, the factored answer is (3x+2)(x+1) and we can cancel out the (x+1) in the denominator: (x+2)(x+1)(x-1), why didn''t you?

[@lykaabregana7174]

can you not factor expressions which all the terms are positive?

[@FortBendTutoring]

+Lyka Abregana That expression is not factorable. Try multiplying your result.

[@FortBendTutoring]

+Lyka Abregana There are many expressions that have all positive terms that are factorable.

[@sanzidaamin4993]

Mr. Whitt, why did you distribute instead of canceling?

[@sanzidaamin4993]

At 7:34

[@FortBendTutoring]

You can only cancel when everything is being multiplied or divided (multiple factors divided by multiple factors). Since we had multiple terms in the numerator, you want to distribute to combine like terms before simplifying.

[@SuperBrowneyes67]

Nice!

[@ItsmeFranqui]

thank you!!!! ❤❤

[@FortBendTutoring]

You're very welcome Stefranqui! Thanks 4 watching!

[@stephenprice3357]

whoever that is talking at the start of the video have me laughing all the time kmsl

[@FortBendTutoring]

+Stephen Price lol We're gr8ful to have a few intros from Chuck Knipp's "Shirley Q. Liquor"!

[@punditgi]

@@FortBendTutoring Lord have mercy and bless your heart. I love that woman! ❤ 😇

[@CASMANWHAT]

Where's the "Red boxin' it!" shirt? I'd buy that.

[@FortBendTutoring]

shop.spreadshirt.com/fortbendtutoring/red+boxin'+it!+[fbt]?q=I1010239489

[@LivePaintCreate]

Thank you SO much! But what if I had an expression like this: 325/x - 325/(x +15). I don't understand how to do one like this! Can anyone help me out?

[@FortBendTutoring]

+Random Queen Setup a paid online tutorial at www.TutorMeMath.net.

[@GameOver-kl2sy]

Mr. Whitt, is there any techniques or methods you can show? But I Understand your tutorial :) I think my teacher Using differ. method O_o

[@myopicmonarch]

i got a quesrion what if the denominator are different expressions ex. one denominator is a binomial and the other is trinomial

[@FortBendTutoring]

+Lex Arquillo Factor them first, then get s common denominator like the problems shown in this video.

[@BBQPitmaster626]

I don’t get how you factored the numerator considering that they are not the same variable. It went a little too fast for me.

[@Oliver-js7it]

OMG the intro 😂😂😂😂

[@yunishastha5720]

wow this video is supper you have to make the app of math

[@FortBendTutoring]

I agree! Thanks 4 the support Yunisha!

[@neonspectreyt4577]

Them: hearing Q Cube Me: Hearing QQ

[@vince7414]

the p2 teleported!!! @3:13

[@FortBendTutoring]

lol! Great catch Znyzer!

[@Endless20162]

Why is it -3x^2????????

[@FortBendTutoring]

+I_Make_Nightcore I used this technique on the binomials: kzbin.info/www/bejne/npS8iqCmiq6dh7M

[@edisonlopez7946]

Teacher:whats your favorite subject?? Me: None😂😂

[@FortBendTutoring]

+Brigitte Lim 😂

[@MrRadio11944]

4-x is a subtraction where commutative property does no apply

[@FortBendTutoring]

That’s why we factor out a negative one.

[@kylegabrieldones9652]

Still cant get it, can someone help me, seriously!

[@FortBendTutoring]

You can setup a paid online tutorial at TutorMeMath.net or perhaps another channel may present it to you better. Checkout our recommended channels list.

[@justsomeone6041]

I'm really confused on the 2nd problem because you copied the denominator and also put it in the numerator and the cube was gone I wanna know why =D. Ty I always watch your videos when I have a problem

[@FortBendTutoring]

+Adam Angar I didn't copy the denominator. I factored the numerator. Check this video out for the process: kzbin.info/www/bejne/i2qcZ4Nuf8aFrqs

[@barbarabrooks4005]

it's work..... but worth it!

[@FortBendTutoring]

+Barbara Brooks Happy 2 help Barbara! Thanks 4 watching! :-)

[@EddieRuiz-l5c]

That fucking intro lmao

[@andraetong637]

Hi

[@FortBendTutoring]

+Andrae Tong 😁

[@dennisjrguillermo6649]

LaDiEs AnD GenTlEmEn