Simplifying Rational Expressions Part 1

[finesilver9999]

@mileycyrus55767 TAUGHT

[GoodMusicRoxMySox]

Thank you for making algebra less painful than it usually is!

[AlRichards314]

All the restrictions represent are any values that would make the expression undefined. For example, you cannot divide by 0 (since it's undefined) so any number that gives a zero value in the denominator is a restriction. For example in the d) question the (x + 4) factor divided out. Now if x = -4 then x + 4 has a value of 0 since -4 + 4 = 0. So if x = -4 then the expression has a value of 0 on the top and bottom, which make it undefined. So the restriction is x cannot = -4.

[BryanDavilaTv2]

you confused me with that zero shit hml

[AlRichards314]

@BryanDavilaTv2 All the restrictions represent are any values that would make the expression undefined. For example, you cannot divide by 0 (since it's undefined) so any number that gives a zero value in the denominator is a restriction. For example in the d) question the (x + 4) factor divided out. Now if x = -4 then x + 4 has a value of 0 since -4 + 4 = 0. So if x = -4 then the expression has a value of 0 on the top and bottom, which make it undefined. So the restriction is x cannot = -4.

[AlRichards314]

@BryanDavilaTv2 All the restrictions represent are any values that would make the expression undefined. For example, you cannot divide by 0 (since it's undefined) so any number that gives a zero value in the denominator is a restriction. For example in the d) question the (x + 4) factor divided out. Now if x = -4 then x + 4 has a value of 0 since -4 + 4 = 0. So if x = -4 then the expression has a value of 0 on the top and bottom, which make it undefined. So the restriction is x cannot = -4.

[MoneyMCKing007]

I HATE ALGEBRA!!!!

[IkabobJr]

I CAN REWIND, PAUSE, AND AND TRY IT BEFORE HE DOES IT. I LOVE IT!! YOU TUBE TAKE OVER SCHOOL!!!

[AlisonsBeautyTalk]

THANK-YOU SO MUCH

i have a test tomorrow and im freaking out!!!!

you saved my HOURS of homework

[lilroot916]

algebra is stupid i hate it. i sit here watching videos for hours and still cant figure it out 

[PickThe6Strings]

why do we need to learn this when I know im not going into any feild that will use this stuff

[hhibben]

you're O's betray you, but thanks, nice vid :-)

[HeavyFallenTears]

I Still don't get it Dx it's too hard for me.

[16eya]

your accent was good but some words can't understand... >: l

then thanks for this so helful i will now use youtube for reviewing :)

[16eya]

your accent was good but some words can't understand... >: l

[c15j01]

who the hell invented algebra??? i wish there was no algebra in life...!!!

[AlRichards314]

@c15j01 Al-Khwarizmi wrote ... book that changed mathematics forever: "The Compendious Book on Calculation by Completion and Balancing." Two of the words in the Arabic title are al-jabr, from which we derive the English word algebra. It is the symbolic language on which much of higher mathematics is based.

[From Yahoo Answers]

[c15j01]

why do we need to study algebra???

[AlRichards314]

@c15j01 We study algebra because it is the language that we communicate when doing any math. Take a simple area formula from geometry. If we didn't have algebra then the area of a triangle, A = bh/2, would become "Area equals base times height divided by 2", or a formula for $100 compounded at 4% interest for 5 years (A = 100(1.04)^5) becomes "accumulated amount equals 100 times 1.04 to the power of 5". Algebra is like a game. Make sure you know the rules and it is a lot simpler.

[mileycyrus55767]

@AlRichards314 You might be right. But algebra is just important for people who need to use it on their jobs. What if I want to be a singer, and obviously, algebra is not necessary for that? ..That would be like I wasted half of my life studying something im not even going to use right now. I dont think im going to go to buy 5x shirts times 7x+3 jeans ._. ....Algebra should only be teached at College, for the ones who need it.

[AlRichards314]

@mileycyrus55767 I can't say I disagree with you. You are correct - there are lots of occupations that don't require any algebra. However, even reasoning/logic skills that you pick up (even indirectly) in math classes are quite useful in many occupations. I still believe that algebra should exist at the high school level, you wouldn't want to not do any math for several years of high school and then jump back into it at university or college.

[raulgomez777]

@AlRichards314 I wish they would of start teaching it in elementary.. i think at that age people like me would have grasped it a little better.

[jheka05]

you're waaayyy better than my teacher .. thanks a lot !!

[evanjo1000]

great!!!1

[abagonboys]

thnks for this tut

[nowitsjustdrew]

This was the most helpful of the videos I found. To the point and very easy to follow. excellent example choices. THANK YOU

[CIBAOMENTAO]

thank you so much for this tutorial!!! you are a lifesaver

[keltonbosi]

thank you,,very clear

[carameltone05]

thanks for the help appreciate it

[FazilHan]

thanks

[mastermagicman]

OMG you explain so well!!! thank you for this tutorial, it was exactly what I needed!!

[itubethisonyou]

thank you