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Factoring: Sum of Cubes [fbt]
Рет қаралды 37,402
11 жыл бұрынThis video by Fort Bend Tutoring shows the process of factoring a sum of cubes. Six (6) examples are worked out and explained. This math concept is used in algebra, trigonometry, precalculus and calculus classes. Intro/Outro by Shirley Q. Liquor. Instruction by Larry "Mr. Whitt" Whittington.
Purchase our Simply Math Workbook #12 for more examples and over 200 practice problems!
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[fbt] Video Timestamps
00:51 [R1] x³ + 8
02:51 [1] y³ + 27
03:42 [2] 64x³ + 125y³
04:49 [3] 1,000b³ + 1
05:54 [4] 343z³ + 729y³
07:14 [5] 8m⁶ + 125n⁹
08:56 [6] (2a - 1)³ + 8
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Factoring: Difference of Cubes
• Factoring: Difference ...
Factoring: Difference of Squares
• Factoring: Difference ...
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@FortBendTutoring 5 жыл бұрын
Here's some helpful timestamps 4 this [fbt[ factoring video! [fbt] Video Timestamps 00:51 [R1] x³ + 8 02:51 [1] y³ + 27 03:42 [2] 64x³ + 125y³ 04:49 [3] 1,000b³ + 1 05:54 [4] 343z³ + 729y³ 07:14 [5] 8m⁶ + 125n⁹ 08:56 [6] (2a - 1)³ + 8 Peace, Mr. Whitt
@valkyRaven22 8 жыл бұрын
if there was an "i effin loved this video so much, you just got me ready for my intermediate algebra college class final exam" button...i would click it a billion times. thank you so much!!!
@carolyndrawdy2434 10 жыл бұрын
I am 33 and have been out of regular classes for 15 years. I have decided to go back to school. In reviewing my math I didn't realize how much I forgot how to do but remember seeing it. Loved this video. Great examples and explanation. Loved It!!!!!!!!!!!
@FortBendTutoring 10 жыл бұрын
Thanks for your testimony Carolyn and good luck in your academic endeavors!
@danzemanek93 8 жыл бұрын
i have never commented on a video before but i just wanted to say that these videos are a life saver your the best !
@FortBendTutoring 8 жыл бұрын
That's great 2 hear! I'm happy you found them helpful! Thanks 4 watching!
@jessiboo6012 7 жыл бұрын
I DONT KNOW WHY BUT IM THE TYPE OF PERSON TO ALWAYS STUDY IN THE LAST MINUTE, LATE! I HATE IT BUT LIFE JUST HAPPENS, BUT ALL I KNOW IS THAT I GET IT DONE BECAUSE I CAN ALWAYS MAKE MYSELF A HOT COFFEE, SIT AND RELAX AND PUT FBT AND JUST ENJOY. BEST TUTOR EVER !I WILL ALWAYS BE A SUBSCRIBER !
@FortBendTutoring 7 жыл бұрын
+Jessica Estrada Thanks 4 your patronage Jessica! I appreciate the support!
@kamaumahakoe5534 7 жыл бұрын
You are a wonderful teacher, Mr. Whitt! This is how Math should be taught!
@FortBendTutoring 7 жыл бұрын
+Kamau Mahakoe Thanks 4 the kind words Kamau! I really appreciate it! 😁
@djsgurl4ever 10 жыл бұрын
FINALLY! I now understand this concept after searching other websites and videos. THANK YOU for simplifying it!!
@katiesdad71 10 жыл бұрын
as a returning student I struggled for about a week with this concept. I understand it much better now, Thank you Mr Whitt.
@FortBendTutoring 10 жыл бұрын
You're welcome! Glad it helped and good luck in your academic endeavors!
@fatcatattack 8 жыл бұрын
You really saved my life man, I was watching a khan academy video on this topic for a project but the way they explained it was really confusing.
@FortBendTutoring 8 жыл бұрын
+ricebowlazn Happy 2 help! Thanks 4 watching!
@Alucard-__- 8 жыл бұрын
Lol I saw your comment on khan acad I was confuse to
@martindistrajo1837 7 жыл бұрын
Hi!My name is Martin Distrajo,I'm from PHILIPPINES and I'm 13 year old grade 8 student.I watched your videos because it's our 1st Periodic Day this afternoon so that I know how to factor because I'm so poor in Math and I'm only interested in English,Filipino and Geography subjects.Thank you because I learned too much in your videos and your better than my teacher in Math because I was confusing while she explaining and I expect that I'll get high score in 1st Periodic Test because my teachers said that the 1 who have a score of 20 below 0 will give floor wax and because our test in Math is out of 40 tests.THANK YOU AND LOVE YOU.👍💗👍
@FortBendTutoring 7 жыл бұрын
+Martin Distrajo Love you 2 Martin! I hope you won't have 2 wax the floor! 😁
@theresaerbe2705 10 жыл бұрын
THANK YOU!! I have been working on my last homework problem for over an hour!!!!!! I watched a few videos and yours is the only one that explained each step and where you got each number. You didn't just toss the formula and then work it. With the formula you still explained where each number came from. I finally was able to finish my homework and move on. Thank you!! I hate college algebra...but you will help me! Thanks again!
@FortBendTutoring 10 жыл бұрын
THANK YOU!! We appreciate you taking the time to give us feedback and inform us how this video helped you! Good luck in College Algebra and help us spread the word by letting your class know about our videos!
@theresaerbe2705 10 жыл бұрын
I sure will! I've written your info in my tutor notebook to share with the class. Several are struggling. So will be sharing for sure!
@FortBendTutoring 10 жыл бұрын
Thanks a bunch Theresa!
@mariarojas1105 8 жыл бұрын
You are a blessing !!!
@FortBendTutoring 8 жыл бұрын
Thanks Maria! So are you! I appreciate you watching! :-)
@alyssawinkley9417 8 жыл бұрын
Thank you! I was absent during the discussion and this really helped :D
@SP-pd7tv 9 жыл бұрын
These vids are so helpful! You explain it much better than my professor. Thanks!
@brendawinningham1425 8 жыл бұрын
I am so thankful that I found fbt. Thank you for all your help. You are AWESOME!!!!!!
@FortBendTutoring 8 жыл бұрын
We're glad you found us 2! Thanks 4 watching!
@dannysocrates2310 7 жыл бұрын
Your videos help me out tremendously. Thank you for all the help & passing on great math wisdom!
@biancabernal2306 7 жыл бұрын
Thank you sir! Your the perfect tutor ever!😭😭
@FortBendTutoring 7 жыл бұрын
Thanks Bianca! I really appreciate the support! 😀
@brittanyharris278 6 жыл бұрын
THIS IS SOOOOOOOO HELPFUL!!!!!!!!!!!!!!! THANK YOU THANK YOU THANK YOU!!!!! You're amazing and so easy to listen to. You explain so well and even teach new tricks! Love your videos!!
@FortBendTutoring 6 жыл бұрын
+Brittany Harris Happy 2 help Brittany! Thanks 4 the support and feedback! 😁
@RebeccaDarnellWellsMonter 10 жыл бұрын
Love it helped and the way you broke it down was easy. Thank you
@FortBendTutoring 10 жыл бұрын
Rebecca Darnell Wells- Monter You're welcome! Happy 2 hear it!
@jasonbromley633 9 жыл бұрын
Thank you so much Mr. Whit!
@FortBendTutoring 9 жыл бұрын
You're welcome Jason!
@princeharee9122 6 жыл бұрын
I love this Math Tutorial Channel! Very helpful! Thank you!
@FortBendTutoring 6 жыл бұрын
This Math Tutorial Channel loves you Prince Haree! Thanks 4 your support!
@ashlynnicole2769 8 жыл бұрын
You explained this so clearly. Thank you!
@FortBendTutoring 8 жыл бұрын
+Ashlyn Marshall You're welcome Ashlyn! Thanks 4 the feedback!
@Lordsvessel979 Жыл бұрын
Youre a life saver God bless ❤😊
@glennfordbautista8703 7 жыл бұрын
THIS IS LIFE SAVING THANK YOU UR MY HERO
@FortBendTutoring 7 жыл бұрын
Happy 2 help Glennford! Good luck 2 you in your academic endeavors!
@zaicubelo688 9 жыл бұрын
Nice!! Thanks Mr. Whitt. I finally got my lessons
@FortBendTutoring 9 жыл бұрын
You're welcome Zai!
@erickavega6724 5 жыл бұрын
Thank you so much for taking the time to create this VERY helpful video.
@FortBendTutoring 5 жыл бұрын
You’re very welcome Ericka! Thanks 4 the feedback!
@edwardchamu 8 жыл бұрын
Thanks! very good explanation!
@FortBendTutoring 8 жыл бұрын
+Edward Chamu You're welcome Edward! Thanks 4 watching!
@simontanglao1236 8 жыл бұрын
i love your intro. ;). thank you Mr.,,, or Mister Whitt.
@FortBendTutoring 8 жыл бұрын
You're welcome Simon! Thanks 4 watching!
@roberttimmins415 8 жыл бұрын
Good video!
@FortBendTutoring 8 жыл бұрын
+Robert Timmins Thanks 4 the support Robert!
@basharhuda 8 жыл бұрын
Amazing job. Sooo much better than my teacher
@FortBendTutoring 8 жыл бұрын
Thanks 4 the feedback Ahmed!
@endeavor8850 8 жыл бұрын
+Ahmed Syed i thought the same thing too, he should come teach at my school
@kavitakakkar5726 10 жыл бұрын
Lol!! I LOVE your excitement!
@FortBendTutoring 10 жыл бұрын
Happy to hear it! Thanks!
@jessiboo6012 8 жыл бұрын
your the perfect tutor ever 😭
@FortBendTutoring 8 жыл бұрын
Thanks 4 the compliment Jessica! That was very sweet of you 2 say!
@28JoshuaDavid 7 жыл бұрын
Tnx Mr. Whitt 😀
@FortBendTutoring 7 жыл бұрын
+Korblox Pyrious My pleasure Korblox! Thanks 4 watching!
@markm3713 9 жыл бұрын
This vid helped me tons, thanks. Wondering if you can show some harder examples such as : (x+1)^3 - (x-2)^3 or m^6+26m^3-27
@FortBendTutoring 9 жыл бұрын
Mark M Sure! Check these videos out: kzfaq.info/get/bejne/jbdiqNSk0sfUfKs.html and also kzfaq.info/get/bejne/jbiYgNKQuNrSp5s.html
@poellnitzpoellnitz4085 7 жыл бұрын
you are awesome!!!!
@FortBendTutoring 7 жыл бұрын
+Poellnitz Poellnitz Thanks 4 your support Poellnitz x 2! I really appreciate it! 👊🏾
@LilNoDogg 8 жыл бұрын
thank you
@FortBendTutoring 8 жыл бұрын
You're very welcome Lisa! Thanks 4 watching!
@kingtrickshotslll6873 7 жыл бұрын
Good!
@FortBendTutoring 7 жыл бұрын
+King Trick Shots lll Thanks 4 the support!
@Brahmablu 8 жыл бұрын
Done and DONE. YEP. *lip pop*....Ha ha! Love it! Great explanation!
@FortBendTutoring 8 жыл бұрын
Lol Happy 2 help! Thanks 4 watching!
@jcushforever 7 жыл бұрын
Life saver
@FortBendTutoring 7 жыл бұрын
+joseph cushmore Happy 2 help Joseph!
@AwsumCherry 10 жыл бұрын
Seriously screw College Algebra. I really appreciate your video though! Professor threw the syllabus at us, said "here's your homework you learned most of it last year", and released us. I haven't been in math class in over 10 years haha...so yay thanks!
@FortBendTutoring 10 жыл бұрын
Glad we can help and come back often! We have plenty of videos that will be helpful throughout College Algebra! Good luck!
@AwsumCherry 10 жыл бұрын
I definitely subscribed and will share your page with a friend who's in Inter. Algebra.
@FortBendTutoring 10 жыл бұрын
Thanks! We really appreciate it!
@Elcosmicstar1 4 жыл бұрын
I bet you the 5 thumbs down came from after school teachers who lose their students. Lol
@rhysheroo 8 жыл бұрын
do you have factoring trinomials? btw this vid. helped me a lot thanks.
@FortBendTutoring 8 жыл бұрын
+DroneFly Sure! Here it is: kzfaq.info/get/bejne/p5yPo7qay76vk4U.html
@uiticus 8 жыл бұрын
do you have a video that shows how to expand the sum and difference of binomials with powers of 3 and higher? do you need to use the Pascal's triangle for that? Thanks~
@FortBendTutoring 8 жыл бұрын
Pascal's triangle will help and you can check our recommended channels list for another channel that may have a video on that topic.
@uiticus 8 жыл бұрын
Thank you sir :)
@robystarks927 5 жыл бұрын
Do you have any video where I factor a problem like 2T^7 + 54T^4 or 4T^5 - 32T^2
@FortBendTutoring 5 жыл бұрын
Factoring: A General Strategy (A General Approach to Factoring) [fbt] kzfaq.info/get/bejne/jbdiqNSk0sfUfKs.html
@alexp3428 7 жыл бұрын
Just a quick question, for certain questions you simply conclude that the final trinomial should never be considered for factorization (as it is prime), while for others you take the time to check to see if they are further factorable? Simply put, is the resulting final trinomial portion of the answer always prime by nature.. or do you have to check at all times to confirm? Thank you in advance, great videos btw!
@FortBendTutoring 7 жыл бұрын
+Alex Paralovo You are correct. The quadratic trinomial factor is always prime if you have already factored the GCF (greatest common factor) before factoring the sum/difference of cubes.
@sebastianhuni4535 8 жыл бұрын
Mr. Whitt! I'm currently "reviewing" to take some kind of test to determine my level of math for future years of college. There is a list, which includes "factoring" which is not specific. Until what lesson do you think I should review in order to take such test? Nice and detailed video by the way!
@FortBendTutoring 8 жыл бұрын
You can probably exclude Sum of Squares and Factoring Using Substitution from our Factoring playlist.
@sebastianhuni4535 8 жыл бұрын
+Fort Bend Tutoring Just took the test! Your lessons were just what I needed! I'm coming back soon for sure. Hope you have a great one!!
@FortBendTutoring 8 жыл бұрын
Sounds good Sebastian! We'll be here!
@juliet4093 7 жыл бұрын
What do you do you do if they are not perfect cubes like *9g^3 +243* for instance, I don't know what to write down
@FortBendTutoring 7 жыл бұрын
+Josh H Always start by factoring out the GCF. In this case, you must factor out a 9 before dealing with the sum of cubes.
@juliet4093 7 жыл бұрын
thank you so much, maybe I'll actually be able to pass this class :3 you are a great teacher
@amedorr3957 8 жыл бұрын
You're one of my Savior! 😍
@FortBendTutoring 8 жыл бұрын
Happy 2 help! :-)
@someshut-innamedweb8808 8 жыл бұрын
hi again Mr whitt.. sir i just would like to ask if the same formula apply if we are adding a sum of cube and difference of cubes. ex.. (x+y)^3 + (x-y)^3 . thank you very much sir and thank you for answering on my previous questions sir
@FortBendTutoring 8 жыл бұрын
+WEB WORLD! villalon Yes, it would. I would suggest using substitution. kzfaq.info/get/bejne/jbiYgNKQuNrSp5s.html
@someshut-innamedweb8808 8 жыл бұрын
ok sir thank you thank you so much.
@dd5507 5 жыл бұрын
whats the app you use to do the writing. Id love to have the app to practice questions rather than wasting paper
@FortBendTutoring 5 жыл бұрын
Penultimate by Evernote
@vivianfrancisco1345 9 жыл бұрын
Problem no. 6 is sooo confusing its too fast and sometimes your hands block the screen but still Great job Mr. Whitt! Btw, can you explain no. 6 step by step to me Mr. Whitt? Thankies! :)
@FortBendTutoring 9 жыл бұрын
Check out #3 in this video. It's similar to number 6 and hopefully I'm speaking slower. kzfaq.info/get/bejne/rbamaJxzm5zDgnk.html
@cullenoleary1619 8 жыл бұрын
I am confused. I get what your doing and it's very helpful to follow along while doing my homework. However, in my homework the exponents are not dividable by 3. As and example of what I mean one problem is 64a^b^3+27a^7 , as well as 27ab^3+8a^4. Thanks for your time, I love your videos you make math fun!
@FortBendTutoring 8 жыл бұрын
+Cullen Oleary Hey Cullen! This should help with your problems! kzfaq.info/get/bejne/jbdiqNSk0sfUfKs.html
@cullenoleary1619 8 жыл бұрын
Never mind, my homework did not tell me that I was enter the section that contained problems of difference of cubes. I now see that that is the next video.
@cullenoleary1619 8 жыл бұрын
Thank you!
@railene9335 5 жыл бұрын
Hello! I have a question to clarify,, on the 6th example what exactly happened at the 4th step?
@FortBendTutoring 5 жыл бұрын
I multiplied the binomials (FOILed) together and distributed the -2. Then, simplified by combining like terms in the next step.
@railene9335 5 жыл бұрын
@@FortBendTutoring Thank you so much for helping and guiding everyone! Your factoring playlist has helped me so much in class and I've been having an edge during the lectures as you have taught the process so well and clear and have given many examples and scenarios! I am also looking forward to more of your future videos! Continue helping every student out there that fears math,, you have helped a lot! May God bless you and thank you very very muchhh!
@martinbrenanroma2868 2 жыл бұрын
Is the sum of two cubes the same as difference of two cubes?
@FortBendTutoring 2 жыл бұрын
No, the factoring patterns are different.
@uiticus 8 жыл бұрын
In the sum of cubes , shouldn't all the factors have a positive sign? Should it not therefore be: (a^2+ab+b^2)? You have a negative ab in the second expression/\. Should it not be a positive ab?
@FortBendTutoring 8 жыл бұрын
No, the factorization in the video is correct. If you use your version, the product will not equal the original. You can verify the pattern used in the video in any math textbook or online reference.
@uiticus 8 жыл бұрын
Okay, thank you.
@uiticus 8 жыл бұрын
I am still confused. When I distributed the factors for the sum of cubes, i get a final result of A cube + B cube, or A^3 +B^3. But A cube + B cube is not the same as the quantity (A + B)^3. If A is 2 and B is 3 then 2 cube + 3 cube yield 35. But the quantity (2 + 3) cubed yields 125..
@FortBendTutoring 8 жыл бұрын
+uiticus You're correct. The expressions A³ + B³ ≠ (A + B)³. A³ + B³ = (A + B)(A² - AB + B²). It's not supposed to be equivalent to anything else.
@uiticus 8 жыл бұрын
+Fort Bend Tutoring So true. Thank you for your time explaining. It goes a long way to helping someone learn and understand. Appreciate it!
@sophiablancalegre3715 8 жыл бұрын
you should be my teacher
@FortBendTutoring 8 жыл бұрын
+Sophia Blanc I totally agree Sophia!
@IAMLUJAYMS 7 жыл бұрын
wait what if te eccuation is not cubed but squared it cant be factored?,
@IAMLUJAYMS 7 жыл бұрын
for example x2+10
@FortBendTutoring 7 жыл бұрын
+d reaper kzfaq.info/get/bejne/ptt-Y6x_tNnRhWg.html
@IAMLUJAYMS 7 жыл бұрын
Fort Bend Tutoring thx
@IAMLUJAYMS 7 жыл бұрын
Fort Bend Tutoring thanks so much i needed this for my homeschooling. You're a great help and teacher
@gummer3055 3 жыл бұрын
The (2)³ is 6 why its 8 am confused
@FortBendTutoring 3 жыл бұрын
(2)³ means 2●2●2 which is 8.
@pedrogarciapg86 9 жыл бұрын
what if its 2x^3+54? where 'b' cannot be cubed
@FortBendTutoring 9 жыл бұрын
When factoring, always factor out the GCF first. You can factor what from these two terms?
@pedrogarciapg86 9 жыл бұрын
Fort Bend Tutoring the 2
@pedrogarciapg86 9 жыл бұрын
Fort Bend Tutoring i see, so the end product is 2(w+3)(w^2-3w+9)
@FortBendTutoring 9 жыл бұрын
Correct!
@FortBendTutoring 9 жыл бұрын
Actually, 2(x+3)(x^2-3x+9) according to your example. :-)
@edwardkristel17 9 жыл бұрын
in problem no. 6 how didyou get (2a+1)? (2a-1) + 2 i thought the answer is 4a+2 hahaha can you explain to me thanks (sorry not that good in english and math)
@FortBendTutoring 9 жыл бұрын
The explanation is in the video. Watch it again or ask your teacher/tutor.
@someshut-innamedweb8808 8 жыл бұрын
can you suggest me to make a undertale comic'er video not the teaching tell me so i can follow you to make video
@billalzerouali2528 8 жыл бұрын
because stone cold said so and that's the bottom line
@FortBendTutoring 8 жыл бұрын
+Billal Zerouali Yes it is!!!
@alara7347 8 жыл бұрын
ur too fast man, slow down
@FortBendTutoring 8 жыл бұрын
+alara homsi I can't Alara! This train has 1 speed! Lol Thanks 4 watching!
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