06 - Simplifying Rational Expressions in Algebra, Part 1

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In this lesson, you will learn what a rational expression is in algebra and how to simplify rational expressions. A rational expression is any expression that can be written as a ratio of two polynomials.
In a similar way, a rational number can be written as a fraction with numerator and denominator, a rational expression can be written with a numerator that is a polynomial and a denominator that is also a polynomial.
Here we focus on how to simplify these types of expressions, which usually involves factoring the numerator and denominator and canceling common terms.

Опубликовано:

27 мар 2019

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Комментарии : 104

@firetalongames91 3 года назад

I'm in algebra 2 and my teacher doesn't explain any of this. He shows us him doing a problem and then we're given an assignment. Watching these videos are such a big help.

@mathfullyexplained 3 года назад

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

@chinmaibommana9788 Год назад

Wait, this is in algebra 2?

@firetalongames91 Год назад

@@chinmaibommana9788 for me it was. Idk how it will be for you. If it is, good luck

@chinmaibommana9788 Год назад

@@firetalongames91 oh thank you

@tomjoad6993 4 года назад

12:15 I just now realized what factoring really is and what it can be used for. Factoring is rewriting a number or expression so that it is the product of multiplication. And one reason for doing this is so you can cancel out terms in a fraction in order to quickly simplify it. You cannot cancel common terms between the numerator and denominator if there is addition or subtraction involved between any of the terms, so factoring it makes everything the product of multiplication instead of addition / subtraction, which then allows you to cancel terms. I really love when things start coming together and everything becomes clearer.

@tomjoad6993 4 года назад

When I first started learning Algebra, which was only about a week ago. This is the first question I asked when something didn't make sense to me: "I was watching a video that says 9x + 3 / 12x + 4 can be simplified to 3/4. But can't just 9x / 12x be simplified to 3/4? Can't 9x + 3 / 12x + 3 also be simplified to 3/4? How can they all be the same thing when they are clearly not the same thing? I understand how 9x / 12x and 9x + 3 / 12x + 4 are the same thing. But what about 9x + 3 / 12x + 3? Isn't that also 3/4? Since don't the + 3's on each one cancel each other out? " Do you see at the end where I said, "Don't the 3's cancel out?" And they don't because they are being added to the other terms not multiplied.

@tomjoad6993 4 года назад

Something else I just realized, too. When you flip terms that are being added or subtracted by multiplying by -1 you are simply factoring it! I was wondering where you get the -1 from. But all you are doing is finding a way to make it the product of multiplication. It's like taking a single number 12 and rewriting it as 3(4). Where did you get the 3 and 4 from? You simply made 12 the product of multiplication by using its factors! THAT'S WHY THEY CALL IT FACTORING, JASON! I HOPE YOU LEARNED SOMETHING NEW TODAY. :)

@mar617 3 года назад

DUDE YOU LITERALLY SAVED MY LIFE I AM FR SO SO SO GRATEFUL THANK YOU THANK YOU THANK YOU THANK YOUUUUUUU

@mathfullyexplained 3 года назад

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

@clarencewilliams8953 3 года назад

@@mathfullyexplained aAAa!!a

@juniewindsor-ji7gg 4 месяца назад

I just want to thank you for your series, as a senior going back to school to get my grade11; 12 algebra, you,ve been a blessing, as on line books don't explain anything. I found you late in my grade 11 class, happy to say I passed not the mark I wanted but it's still a pass and I continue with you in grade 12. these classes are fast 2 years into 1, talking about math I never knew existed could not relate until I started watching you. Again thank you sooooo much, I am sure many others appreciate your dedication, time and knowledge to help others 😊 thank you 👏👏👏👏

@georgeh1352 3 года назад

Neat trick using ( -1), wish I had been taught that at school/college. Pot luck on the quality of Teacher / Lecturer you get, thanks for your clear and top notch explanations.

@Jessicanimation Год назад

With limited time in the classrooms and our instructor can only show us so much. God bless RU-vid.

@patrickvanbramer5318 3 года назад

My son's teacher just keeps piling on the homework, but many kids dont understand fully, including himself. Makes no sense. My son said you're better at teacher than his teacher. Thankyou

@PalenVencatachellum-xo3fc Год назад

I thank you very much for your explanation which is very simple to assimilate by anybody.

@blaneferris9952 2 года назад

It's helps so much that you rewrite the problem before cancelling, other videos look so complicated when they do it all on top of the original problem.

@exotickhanaarif4333 2 года назад

Wow man that -1 is such an important tool it helped me understand what Factoring really is

@marianusStaff 5 лет назад

Thank you for all the time you spend for this lessons!

@MathAndScience 5 лет назад

You are very welcome! View all my Lessons and Courses! Visit: www.MathTutorDVD.com

@dusannovakovic5257 4 года назад

Great lecture. If only there were more professors like you, especially for math and sciences. There is an interesting point I never thought of until now. Maybe you could've used the example with s^2-t^2/(s-t)^2 to show explicitly that (s-t)^2=(t-s)^2 which is pretty convenient to keep in mind when solving similar equations because such manipulation makes the process faster.

@mathfullyexplained 3 года назад

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

@mathbbn2676 2 года назад

Very good teacher, I can understand your presentation on this lesson. This radical equation is I know that this teaching makes students understand and thank you teacher

@MathAndScience 2 года назад

Awww thanks so much.

@mathbbn2676 2 года назад

@@MathAndScience yes teacher

@sonnyl2915 3 года назад

The only teacher could explain maths!👍

@mathfullyexplained 3 года назад

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

@masterhalim8263 Год назад

neat writing and clear explanation. i like it

@davidhunter4945 6 месяцев назад

Superb class. Taught me so much, thank you.

@haleymills239 2 года назад

Just a question but I was told you minus exponents when dividing. So why instead of x/x^2 do you not get -x and have to move it up?

@thedoctordowho2022 4 года назад

Thank very much for you time to do this lessons.thank you!!!

@mathfullyexplained 3 года назад

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

@smitachaudhary9519 3 года назад

It was useful session :)! I like the sessions from Vidya Guru channel as well. Their important questions were proven very helpful in my SSC exam.

@mathfullyexplained 3 года назад

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

@English-ug2cs 3 года назад

Excellent greetings Mr Jason

@KDA1342 5 лет назад

Thank you for all that you do!

@chimamandaogbuagu7227 Год назад

Thanks you very much it really helped

@HuongPham-gy5nh 2 года назад

Very good and funny videos bring a great sense of entertainment!

@dengex2260 3 года назад

great video, I like the way you teach!

@mathfullyexplained 3 года назад

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

@jasminparveenparveen7061 5 лет назад

You explain very well sir 👌👌

@MathAndScience 5 лет назад

I really appreciate it! View all my Lessons and Courses! Visit: www.MathTutorDVD.com

@kevinrivera880 2 года назад

THis guy is a beast.

@KalkidanYitayew 7 месяцев назад

Thank you 🙏

@yesserlabidi7831 4 года назад

you are the best teacher i have never saw !

@MathAndScience 4 года назад

Wow thank you!

@mathfullyexplained 3 года назад

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

@guillermaalberina7648 Год назад

Thank you very much

@mr.stranger3417 2 месяца назад

Thank you sir ❤

@markfinn825 3 года назад

Some numbers with decimal points can not be written as fractions . But if the circumference of perfect circles are divided by their exact diameter is the number always the same ( no matter what the size of the circle ).

@mathfullyexplained 3 года назад

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

@malissawhite3735 2 года назад

You rock! ☺️❤️

@molokoplus4544 4 года назад

You're the best math teacher ❤

@mathfullyexplained 3 года назад

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

@qusaialhariri8117 4 года назад

your explanation is really amazing and I actually have learned a lot from that lesson. Thanks a lot sir and keep it up

@MathAndScience 4 года назад

You are very welcome!

@mathfullyexplained 3 года назад

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

@Sixtoe981 4 года назад

You my man are on fire! Your teaching is superb.

@mathfullyexplained 3 года назад

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

@aganachris7058 2 года назад

You're good

@leslielangaylangay9295 3 года назад

Thank you for this lesson Sir

@mathfullyexplained 3 года назад

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

@rickdeckard2622 3 года назад

Best teacher on RU-vid!

@mathfullyexplained 3 года назад

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

@rickdeckard2622 3 года назад

@@mathfullyexplained Give me pls the link. I didn't find it.

@mathfullyexplained 3 года назад

@@rickdeckard2622 type mathfullyexplained one word

@eslamelsofany2470 5 лет назад

Please sir reply on my question Are you intend to make series for electrical machines and power systems in the future or not ?

@3aliushiaboaziz983 3 года назад

Thank you verry much sir

@mathfullyexplained 3 года назад

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

@willbe9326 3 года назад

I need to listen to my teacher for 3 hour to get lesson but for you 30min thank you so much

@mathfullyexplained 3 года назад

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

@crisjelasio5221 2 года назад

@evangilistbarnes 2 года назад

Hi John, I have to take the middle school praxis. Do you have and suggestions for me to be successful and pass?

@alaa-xw1jz 11 месяцев назад

what the lesson I have to get before this lesson. I want to understand basic before this one

@b.p.sadashivamurthy2575 4 года назад

Hello sir, I have found the five rational numbers between 1 and 2 using equivalent fraction. The five rational numbers are - 7/6 , 8/6 , 9/6, 10/6 , 11/6. Sir, is it compulsory that we should simplify the above five rational numbers. Please help me with the above doubt. Thank you.