Rational Algebraic Expressions Simplified

Continuing to practice our new factoring skills,we work through many examples of simplifying algebraic rational expressions. NOTE: AT MINUTE 11:06 I LOST A FACTOR OF 2!!! The rest of that example is correct including my discussion about the restrictions of the domain. Sorry for the error.

[helenarothwell]

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[BlueKarim]

Another one of my 1 hour + long classes taught in 26 minutes. Keep up the great work, sir!

[profrobbob]

Thanks for choosing my channel to learn from and I hope you will return with all your friends whenever you need help again!

[profrobbob]

BAM!!!!....Congrats...that's a tough "A" to get from an IB class!....good for you and thank you for choosing my channel to learn from:)

[yelnatsnart]

wow i learned so much more from this 25min video than one week in class. thank you so much!

[profrobbob]

Your first question can be factored to be ((x+2)(x+2))/((x+2)(x-2)). The denominator is a difference of squares. Then cancel the like factors of x+2 and you get (x+2)/(x-2). The denominator of your second question is also a difference of squares so it will factor very similar to your first question.

[profrobbob]

Remember you can only factor terms and not terms. The factor of 10 can be factored from the denominator, but you could just factor out 5 to match the factor of 5 in 45.

[profrobbob]

Thank you...I am glad to hear you passed your PreCalculus exam. My math channel is new and is growing at a pretty good pace. You could help me out be spreading the word...PLEASE:D I am going to fill the gaps in the concepts of my Algebra 2 playlist this summer and then continue to brush off my Calculus skill and pick back up making those videos. I have the first 2 1/2 chapters done for Calc so far.

[SleevesYT]

Thank you for clarifying your mistake at 11:06, unlike other math youtubers, you actually make note of your mistakes. Thanks Prof Rob!

[profrobbob]

Yes, I did lose my two! Thank you for catching that for me:) I have a video posted about vertical asymptotes and holes in graphs. If a factor in the denominator cancels with a factor in the numerator, and it could equal zero, then the graph will have a hole at the x value that would make that cancelled factor equal zero. If the factor in the denominator cannot cancel out and it can equal zero, the graph will have a vertical asymptote at that x value.

[Frostbyte_coser]

Thank you for helping me prepare for my term exam in Math which is in 3 hours! Wish me luck :)

[darkidz]

Thank you so much for these videos. They're an extremely huge help and helped me pass my Pre-Calc final. You're doing a great thing and should get more views.

[profrobbob]

I will consider that...thank you. I hope you know that if you go to my channel home page I have my videos sorted by subject. All the of Precaclulus videos I have done are in the order they appear in the book I am currently using.

[profrobbob]

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[aidankeefe]

Because of you I was the only one in my grade that got an A, and I'm in IB! thanks a lot

[profrobbob]

Thank you for that testimonial! And thank you for supporting and subscribing...my channel growth comes from the support and sharing of subscribers like you...please pass my channel info onto others:D

[profrobbob]

Congrats...That's awesome news! But remember that YOU were the one to search for outside help first...Then BAM!, there I was to help you learn math simply by watching and subscribing to my channel:)

[UndyingSiren]

Thanks prof Rob Bob you really helped me learn all this in 26 min. while i didnt get it for days from my math teacher xD 
P.S. keep up the good job !

[project]

This solved my problems:D Thanks to you sir, I passed my entrance exam:D

[nicholelix]

I wish you could know just how much you have helped me out.   I wish you were my math teacher in high school.  I wouldn't be doing this now.