Factoring Polynomials Sum Difference of Cubes

I explain how to factor the Sum of Cubes and Difference of Cubes patterns and then work through many examples to help you understand the process. These are a special type of Polynomials.
Here you can find a selection of my Factoring Lessons

[profrobbob]

No, 2y(x-2)((x+2)^2) is not correct because (x+2)^2 is x^2 +4x +4. Multiplication is commutative so the order of multiplication is flexible. The - in x^3-8 is accounted for in the formula so you don't need to worry about it when finding a cube root of b^3. Thank you for watching and your support:)

[profrobbob]

Factor your difference and sum of cubes with Closed Captions.   #math  

[NadaII]

10 years later and factoring still induces sleep. My new 11 mins nap time video.. BAM!! (wakes up)

[itsdavidkay]

I am still confused by this unfortunately mostly because of the irrational numbers or non-perfect cubes with a problem such as 24x^6 -1029y^3
It would be amazing if someone could explain it to me. I understand the perfect cubed problems though.

[archieadrias]

the only thing is the video a bit blur

[anmoljohal]

he jumped from the free throw line AKA Micheal got the hops

[profrobbob]

Thanks for being the 1st to comment and show your support by subscribing! I'm glad you found this video helpful and hope you will continue to make me your go-to YouTube teacher in the future:)

[profrobbob]

Happy to hear I could help:) Thanks for choosing Tarrou's Chalk Talk to learn from!

[profrobbob]

That's what I'm here for:) Thanks for letting me be a part of your learning experience!

[MrMrannoying]

Man if you did the last problem using difference of cubes first you get into one heck of a mess! I guess difference of squares is the way to go when you have both options?

[georgesadler]

Professor RobBob, thank you for explaining Factoring Polynomials Sum Differences of Cubes. There is also a pattern involved in the sum of Cubes and all students must put this method to full memory and also do a ton of problems.

[YB-PC-BYourself]

Ben kept staring at me, I wanted to poke your shirt in the eyes. ty btw

[THEQuantumPolkaDots]

You're definitely one of the elite math video makers on youtube. I always choose your channel first because you explain things so simply and clear. I could not get through factoring the difference of squares for months because I kept getting problems where it had an exponent of 4 and I just could not figure out how to apply the rule and there were no videos that specific and I couldn't believe that you actually had one! Thank you soooo much. Of course after taking so long with that I needed a refresher on cubes haha

[aashsyed]

THE THUMBNAIL WOW I LIKE THIS CHANNEL!

[ukzworld]

Great videos! really enjoying them.
could you regroup that last one from 2y(x-2)(x^2+2x+4) to 2y(x-2)((x+2)^2)
does that work?
also when factoring out 2y(x-2)(x^2+2x+4) is the correct order of ops to multiply out the parenthesis first, then the 2y at the end?
also one thing that didnt click, the original 2y(x^3-8) <-- when doing parenthesis and using (a-b)(a^2+ab+b^2) howcome b=2 instead of (-2)?
Thanks Prof, keep it up!!

[roywilson]

I want to thank you for helping me refresh my memory with this. I am using the Abecca program and the method they explain it had me a bit confused. Bam!!! Thank you again.

[cossoalkahn]

This problem my book does is quite strange. It is from Precalculus: Mathematics for Calculus 6th Edition

the problem f(x) = 2x^2 - 12x + 23 is solved by completing the square this way

                          = 2(x^2 - 6x) + 23
                          = 2(x^2 - 6x + 9) + 23 - 2 * 9           (b/2)^2 = (6/2)^2 = 9
                          = 2(x - 3)^2 + 5

I'm confused on why they did the step with  - 2 * 9 because they didnt subtract the constant 23 from the beginning? Is there a reason why?


By the way love your videos :D

[sergiohater]

I'm still confused.  I'm doing a problem where I'm asked to factor 16x⁴- 250xy³.  I think I've been looking at this too long or am missing a concept or step because I cannot seem to figure out how to factor this out...as a difference in cubes.  Can you help me out?  I will also try to email my professor.  Thank you Mr. Tarrou!

[hqplazma]

This helped a lot during our midterms exam :)