Simplify Rational Expressions | Rational Functions | Pre-Calculus

In this video we will cover simplifying rational expressions. In addition to simplifying rational expressions we are going to cover simplifying complex fractions, adding, subtracting, multiplying and dividing rational expressions. We will then discuss the restrictions of rational expressions.

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[icelandmilk]

It's sad that I've learned more from Brian than MY ACTUAL math teacher. Thank you for all your help!

[itsme]

Loves it when he calls his students ladies and gentlemen. So dignified.

[DRMath]

This skill is usefull in all area of math. If you know how to simplify rational, it will be helpful in limits, derivatives and integration and many more math concepts.
Thanks for sharing the knowledge!!
Peace ✌️!!

[Agilitystar]

Brian I'm going to end up owing my degree to you. Thank you so much for all your videos.

[dwightschrute]

Would anyone know how to do this with trig functions? The problems on my worksheet have not been taught in my class so I’m a little confused. The example on my worksheet says to simplify the expression so that it is the sum or difference of two non-fractional terms and the problem they used was sinx/1-cosx. What confuses me is on the answer key, it multiplies the whole fraction by (1-cosx)’s conjugate, but why did we do that??

[gibsonj]

16:00 Wouldn’t the final answer be [x(x-1)]/[(x+1)(x^2+1)] instead of [x(x-1)/[-(x^2*1)]?

[gibsonj]

24:00 Don’t they share x-2 instead of x-3?