Factoring Sums and Differences of Perfect Cubes

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  • Опубліковано 2 лис 2016
  • This algebra video tutorial focuses on factoring sums and differences of cubes. This video contains plenty of examples and practice problems factoring sums and differences of cubes along with the formulas and equations that go with it.
    How To Factor Trinomials:
    • Factoring Trinomials T...
    The Greatest Common Factor:
    • How To Factor The Grea...
    Difference of Squares & Sum of Cubes:
    • Factoring Binomials Wi...
    Factoring Perfect Square Trinomials:
    • Factoring Perfect Squa...
    How To Factor By Grouping:
    • Factor By Grouping Pol...
    Cubic Polynomials:
    • Factoring Cubic Polyno...
    _______________________________________
    Solving Quadratic Equations By Factoring:
    • How To Solve Quadratic...
    Quadratic Equations Completing The Square:
    • How To Solve Quadratic...
    How To Factor Difficult Quadratic Equations:
    • How To Factor Difficul...
    Hard Factoring Examples:
    • Factoring Trinomials &...
    Factor Completely - Multiple Variables:
    • How To Factor Complete...
    Factoring Higher Degree Polynomials:
    • Factoring Higher Degre...
    _______________________________________
    Factoring Trinomials With Large Numbers:
    • Factoring Trinomials W...
    Factor Trinomials With Negative Exponents:
    • How To Factor Trinomia...
    Factoring - Rational Exponents:
    • Factoring Algebraic Ex...
    Factor Theorem and Synthetic Division:
    • Factor Theorem and Syn...
    Finding All The Zeros of a Polynomial:
    • Finding All Zeros of a...
    Real and Imaginary Solutions:
    • How To Find The Real &...
    _________________________________________
    Final Exams and Video Playlists:
    www.video-tutor.net/
    Full-Length Videos and Worksheets:
    / collections

КОМЕНТАРІ • 229

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  6 місяців тому +6

    Final Exams and Video Playlists: www.video-tutor.net/

  • @ian4921
    @ian4921 4 роки тому +503

    Trick I learned to determine the + - signs, SOAP, (S)ame, (O)pposite, (A)lways (P)ositive

    • @tasnimshahar1618
      @tasnimshahar1618 4 роки тому +9

      hey, could you explain what does it mean?

    • @nadiakessel292
      @nadiakessel292 4 роки тому +35

      The first sign in the answer such as A^3+B^3=(A+B) in the first part the + sign inside the parentheses is the same as the original equation.Then within the second parentheses (A^3-AB+B*2) the first sign is the opposite of the original equation and the second will always be positive. I hope that helps

    • @londani4792
      @londani4792 3 роки тому +10

      LEGEND

    • @xlrosr-yt6636
      @xlrosr-yt6636 3 роки тому +5

      Wow thnx

    • @moishesh4177
      @moishesh4177 3 роки тому +6

      OMG thank you for the trick imma use it

  • @michaelnorth6286
    @michaelnorth6286 4 роки тому +78

    My pissed off teacher took 45 minutes to teach me this. You took 11 minutes and 12 seconds. Thanks bro

    • @jecymiguelalmonte7685
      @jecymiguelalmonte7685 3 роки тому +1

      Facts

    • @dominusdone5023
      @dominusdone5023 4 місяці тому

      thats because there is forced attention on the screen however in class you have to pay attention with eyes and cant focus on exactly what the teacher might be teaching

    • @dominusdone5023
      @dominusdone5023 3 місяці тому

      @@o_o9687 not really? In class students are often seen wandering off rather than focusing on the board which a video like this requires

  • @JamJamxo
    @JamJamxo 4 роки тому +113

    Dude you legit saved my life, I watched a whole 9 mins video on some module for my math placement exam and did not understand any of it and I come to your video and I immediately understood everything in just 1 min

    • @Mike-zy8in
      @Mike-zy8in Рік тому

      My bro go UA-cam - are you a good person by living waters

    • @etheosumn9274
      @etheosumn9274 8 місяців тому

      i had a stroke trying to read that@@Mike-zy8in

    • @josephpostma1787
      @josephpostma1787 5 місяців тому

      @@Mike-zy8in Is that the banana man?

    • @Mike-zy8in
      @Mike-zy8in 5 місяців тому

      @@josephpostma1787 yea my bro check it out

  • @internetbot3947
    @internetbot3947 4 роки тому +43

    Literally 10 seconds in u explained what my professor couldn’t

  • @zackkk797
    @zackkk797 5 місяців тому +5

    Bro every time I don't understand my math I know that you've got me covered. you take so little time to explain a lot you help me SO much.

  • @MrMrannoying
    @MrMrannoying 5 років тому +73

    I never really mastered these things and its screwing me over in Calc 2. Make sure to know this people

    • @AgastyaKrothapalli
      @AgastyaKrothapalli 5 років тому +1

      Calc 2? Thats not a thing

    • @vizier6211
      @vizier6211 5 років тому +8

      Yes it is. I take it in senior year. But most people call it calculus BC, so I see what you’re saying.

    • @Don_suerte
      @Don_suerte 3 роки тому +3

      Senior year? I'm in 8th grade

    • @attabanklint2386
      @attabanklint2386 2 роки тому +4

      @@Don_suerte now ur at 9th grade

    • @Baitcasterbass
      @Baitcasterbass Рік тому +1

      @@Don_suerte now 10th

  • @jedisantos2455
    @jedisantos2455 4 роки тому +25

    THANK YOU VERY MUCH 💛 I've been struggling with this since junior high, and in 11 mins I finally understood it 🥺🤧

  • @worldoftrauma
    @worldoftrauma Рік тому +10

    my brain is not braining

  • @Kamori_113
    @Kamori_113 3 роки тому +5

    Thank you soo much!!! You explained this way much better than my algebra 2 teacher ! For real man, thank you so much!

  • @alexbeaulieu2287
    @alexbeaulieu2287 4 роки тому +10

    in calc rn and what ever algebra i dont understand he clears it up for me in 10 minutes

  • @mohubeduabram3896
    @mohubeduabram3896 6 років тому +14

    mmmm thats marvelous...thanks sir,God bless u

  • @unclefrank3084
    @unclefrank3084 2 роки тому +2

    I had problems with this lesson since the first year of high school because I couldn’t think or anything that can be solved to get what was given, i had to do trial and error until i get the answer…but this video taught me a super easy formula to easily get the factors of the given binomial. I don’t know how to thank you for this, or i think thank you is not even enough 😭😭😭

  • @M7j3
    @M7j3 5 років тому +14

    your the best
    never stop your da way up

  • @arthurlouw2579
    @arthurlouw2579 4 роки тому +10

    I was absent in this lesson so thanks for the help

  • @scadoodoo1405
    @scadoodoo1405 2 роки тому +1

    Thank you so much. This helped so much better than what i tried in class.

  • @lefamofokeng8291
    @lefamofokeng8291 3 роки тому +11

    After an hour of trying to understand this finally got in 2 minutes. Muchas Gracias

    • @Mike-zy8in
      @Mike-zy8in Рік тому

      Bro go UA-cam - are you a good person by living waters

  • @champboy1492
    @champboy1492 4 роки тому +1

    May god bless your soul! Thank you soo much... you are soo helpful and you are doing a good job making math east

  • @reynconstantinehilum647
    @reynconstantinehilum647 5 років тому +2

    Thank u for the vid. Your vids help me to understand math more

  • @Je527321
    @Je527321 3 роки тому

    My book just jumped into this with NO explanation. Thank you!

  • @rayf1568
    @rayf1568 5 років тому +46

    Hey could you move the end cards at the end please, cant seeeeeeeeeee

  • @novasnightingale3559
    @novasnightingale3559 3 роки тому +1

    Thank you so much i have such a hard time and you are just are so helpful!

  • @Dvasusaf
    @Dvasusaf 4 місяці тому

    Thank you so much for this. You explain this in a way that I completely understand. I greatly appreciate this video.

  • @marissagarcia5329
    @marissagarcia5329 2 роки тому +1

    omg thank you, my teacher doesnt care if we understand or not she doesnt help but you just saved me from making a bad grade on this test

  • @bonoloseopa8414
    @bonoloseopa8414 3 роки тому +1

    The way I appreciate you rn🙏

  • @mattpelandas6660
    @mattpelandas6660 Рік тому +2

    tysm this was very helpful for us grade 8 learners

  • @baguiowhrenchzallenb.2442
    @baguiowhrenchzallenb.2442 2 роки тому

    This literally made me understand the topic better

  • @markmeyer6233
    @markmeyer6233 2 роки тому

    Thank you so much, the first minute was able to jog my memory, I remeber how to do it now

  • @megumiazie9343
    @megumiazie9343 4 роки тому +6

    OMG THANK YOU!!!
    Lessons in math are super easy when you teach them.

  • @aliyahrosa6184
    @aliyahrosa6184 4 роки тому

    thank you so much! helped so much for my quiz tomorrow!

  • @thecoloredhost
    @thecoloredhost Рік тому +2

    so much better than my teacher my teacher likes to rush the work

  • @mori4160
    @mori4160 5 років тому +3

    I wish your my math teacher but teaching it like this in your videos

  • @Baitcasterbass
    @Baitcasterbass Рік тому

    wow idk what it is but I just understand you. interestingly enough, someone else can explain it the same way and I still wouldn't understand it. I think it's the way you layout the problem and you don't skip a single step. I find other teachers skip so much information. thank you, I've been trying to get the concept of this for the past two days and I can say I understand it about 90% now the other 10% is just learning roots and recalling the formula.

    • @dominusdone5023
      @dominusdone5023 4 місяці тому

      thats because the teacher assumes that you didnt miss anything because they have already said it. If you dont pay attention briefly you will fall behind and be confused but online you only focus on the screen

  • @user-sc6uo9qo1i
    @user-sc6uo9qo1i 3 місяці тому

    I love this man so much
    I'd give anything for him to be my tutor

  • @thechisensei
    @thechisensei 3 роки тому +2

    thanks! understood it perfectly. i just like to point out that at the end of the video, the screen gets covered with video recommendations, which is quite wrong. of course this is youtube's fault, not yours. but maybe you can add a few seconds of black screen at the end to compensate. win - win :)

  • @s_j07
    @s_j07 2 роки тому

    YOU HELPED ME ALOT. THANK YOU!

  • @hamedmacarthur7130
    @hamedmacarthur7130 День тому

    I have learned a lot from you❤

  • @NsaneSly
    @NsaneSly 4 роки тому +23

    So if the equation involves addition, you use the A^3+B^3, but if the equation is subtraction, you use A^3-B^3 right?

    • @user-dp1pm1kq8l
      @user-dp1pm1kq8l 7 місяців тому

      I want to know the same thing

    • @australium7374
      @australium7374 6 місяців тому +2

      Yes you use the sum of 2 cubes if your 1st term is added with the 2nd one

    • @user-dp1pm1kq8l
      @user-dp1pm1kq8l 6 місяців тому

      Thank you

    • @NsaneSly
      @NsaneSly 6 місяців тому +1

      fuck you math is for pussys@@australium7374

  • @mistmwehehe
    @mistmwehehe 5 років тому

    TY VERY MUCH YOU HELPED ME ON MY QUIZ AND TEST.

  • @PrincessRainbowDanceSing
    @PrincessRainbowDanceSing Рік тому +1

    omg i love you it helped sooooooo much🥺

  • @janet9568
    @janet9568 3 роки тому

    This guy is a lifesaver

  • @POV935
    @POV935 Рік тому +1

    Thank you bro your the best 😭❤️

  • @user-id4cc6bn8u
    @user-id4cc6bn8u 5 місяців тому

    Thanks I finally understand ❤

  • @autobotdan6247
    @autobotdan6247 4 роки тому +9

    Thank you so much for your help. I literally was getting no help from the examples in my math book. It was jibberish to me and I thought I would never understand this concept. Thank you and please do more math tutorials.

  • @pinkym.rivera4616
    @pinkym.rivera4616 4 роки тому

    Thank you , you helped me a lot

  • @orangecountydas7108
    @orangecountydas7108 2 роки тому +1

    I am grateful that you showed a step by step process. I don't know why professors or Pearson Math Lab overlook explaining each step. It's assumed we know the information or we should know it. Math is a language and should be taught like this. Thank you, you are an awesome teacher. Please make more videos.

    • @kdmac8110
      @kdmac8110 2 роки тому +1

      Well you were already supposed to have been taught this, but the system fails a lot of people

  • @Bbq.Gang.DreiQuebec
    @Bbq.Gang.DreiQuebec 2 роки тому

    Ur good sir tnx for everything ☺️

  • @juliamargarita6688
    @juliamargarita6688 5 років тому +16

    In 2:30, you can still factor out/simplify 5^2 to 25, since 5 is a numerical coefficient.

  • @user-dp1pm1kq8l
    @user-dp1pm1kq8l 7 місяців тому

    Would it change if the sign in the the first problem was subtraction

  • @gilfromyt1609
    @gilfromyt1609 5 років тому

    DUDE! YOU SHOULD BE A TEACHER A MATH TEACHER RATHER YOUR MORE BETTER THAN MY PROFESOR

  • @JuanMolina-tl2xc
    @JuanMolina-tl2xc 3 роки тому +1

    What my teacher explains in 1 hour and 20 minutes you explain it in 11 minutes

  • @saadomary2165
    @saadomary2165 5 років тому

    Thank you sooo much !!

  • @tommrfrancismosqueda1974
    @tommrfrancismosqueda1974 3 роки тому

    The Great mathematician

  • @KlasseCaldiny
    @KlasseCaldiny 3 роки тому

    Anyone know if this is on the GRE? Can't seem to find out anywhere

  • @ruodraws9927
    @ruodraws9927 2 роки тому

    How to deal with negatives in the given examples and the exponent lower than cube, how do i deal with those?????
    please i am really confused right now.

  • @jdivineee1365
    @jdivineee1365 4 роки тому +1

    How come on the second problem it's 5^2 and not 25^2 and why 9^2 and not 3^2 for the third problem ?

  • @reghdelosreyes6416
    @reghdelosreyes6416 4 роки тому

    Where did the formula above came from?

  • @justfofunfun6930
    @justfofunfun6930 2 роки тому +2

    teachers just be complicating it, thank you !!!!

  • @43jm43
    @43jm43 3 роки тому

    the suggested videos at the end are blocking the last example

  • @welikelethabo
    @welikelethabo 4 роки тому +15

    I feel smart now

    • @lunacygaming2288
      @lunacygaming2288 3 роки тому

      I have more subscribers than you so I am smarter

    • @Spolt_main
      @Spolt_main 3 роки тому

      @@lunacygaming2288 Bow before me peasant.

    • @Spolt_main
      @Spolt_main 3 роки тому

      @@lunacygaming2288 he is now just as smart as you

    • @lunacygaming2288
      @lunacygaming2288 3 роки тому

      @@Spolt_main I like turtles

    • @Spolt_main
      @Spolt_main 3 роки тому

      @@lunacygaming2288 Ok.

  • @kentanjiken1768
    @kentanjiken1768 3 роки тому +1

    everytime i think I'm stupid in math I always come here cuz it makes me feel smart

  • @burgber_
    @burgber_ Рік тому

    Thank you bro frfr

  • @ahleeshiabenedicto5806
    @ahleeshiabenedicto5806 4 роки тому

    How to get the Two cubes back?

  • @sarra5122
    @sarra5122 10 місяців тому

    would it be any different if they weren't prefect cubes?

  • @jrexx2841
    @jrexx2841 6 років тому +1

    how do you cuberoot and squareroot high exponents like
    x^6...x^12........etc

    • @JG-ld6cf
      @JG-ld6cf 6 років тому +1

      the cubed root of x^6 is x^2. the cubed root of x^12 is x^4. divide the power by 3 since it is the cubed root :)

  • @sanopann1896
    @sanopann1896 Рік тому

    in this part 1:20 why the why the 2 in x^2 is remain and you multiply the AB to get the BA and B^2 means 2^2=4

  • @nxaap355
    @nxaap355 2 роки тому

    Thank you 🙏

  • @aynara._aa2127
    @aynara._aa2127 2 роки тому

    90 minutes in math, and many of us in the class could not understand. Math teachers need to improve on their teaching. Had to send this to the gc🙏🏼

  • @jaydig3288
    @jaydig3288 4 роки тому

    Right when I thought I was fucked, I find this video. Thanks

  • @sarra5122
    @sarra5122 10 місяців тому

    thanks you saved me, idk why I didn't find this on Khan Academy!
    anyways anyone has any idea where I can find more exercises ?

  • @MsBabaylan
    @MsBabaylan 3 роки тому

    What if the number is Higher than 216? Like what if the given is 243?

  • @sheila5018
    @sheila5018 Рік тому

    helped a lot

  • @gplaygames7314
    @gplaygames7314 3 роки тому

    2:21 can we also use 25?

  • @1ducked862
    @1ducked862 Рік тому

    bruh I need a teacher like him

  • @Fatima-zf5ym
    @Fatima-zf5ym 3 роки тому

    I justttt wannnaa say thankkk youuuuu

  • @faysalarab
    @faysalarab 4 роки тому

    thank you man

  • @wveyeon
    @wveyeon 3 роки тому

    Hi! in gbe 1st question why did you multiply the last term to make it 4 but in the 2nd question you made it 5^(2), please explain it

    • @josephpostma1787
      @josephpostma1787 5 місяців тому

      For others with the same question, he was squaring "2" just as he did with "5". It just so happens that 2 ^2 = 2*2.

  • @epochick
    @epochick Рік тому

    i know this video is old and stuff but i just want to ask-
    what do you do if the number (or term, i forgot) is not a perfect cube? there was this one expression my teacher gave as an example but i didn't quite understand when she explained..

    • @Argo123_.0
      @Argo123_.0 Рік тому

      It’s either a=1 law or ac method thru grouping.Just search it

  • @AndrewMorganSmith
    @AndrewMorganSmith 4 роки тому

    thank you

  • @Dollface98
    @Dollface98 4 роки тому

    What do you do if the 2 numbers being used have no cube root

    • @megumiazie9343
      @megumiazie9343 4 роки тому +1

      Then you are the one who is supposed to add them

  • @klause8587
    @klause8587 3 роки тому

    what if the cube root is a decimal?
    \

  • @kellyly7260
    @kellyly7260 2 роки тому +1

    Took algebra 2 on online school and cheated my way to a B. Now I'm taking pre calc in real school and I have a test on Monday on solving by factoring. And I'm learning all the ways to factor in 2 days.

  • @user-jd2qo8nb9e
    @user-jd2qo8nb9e 10 місяців тому +1

    tysm

  • @mechackkaba8578
    @mechackkaba8578 4 роки тому +1

    Thank u very much sir ur videos helps a lot

  • @valoretta4435
    @valoretta4435 4 місяці тому

    why did no one tell me about the cube root?? saved my grades (maybe?) tysm

  • @fadedlight8118
    @fadedlight8118 4 роки тому

    Thanks

  • @niharreddy872
    @niharreddy872 3 роки тому

    Thanks man

  • @timmyboy4367
    @timmyboy4367 Рік тому

    Hey why is it 5^2 isnt it supposed to be 25 2:24

  • @facundocarattoli6450
    @facundocarattoli6450 8 місяців тому

    i dont understand why the cube of y^9 is y^3. If you multiply 3 * 3 * 3 = 27. Can anyone explain me that?

  • @bruhi-4589
    @bruhi-4589 2 роки тому

    thanks !!

  • @trebeccabattle8129
    @trebeccabattle8129 6 років тому +1

    This video makes it wayyyy more complicated than it needs to be 🤯😳

  • @micolomaria
    @micolomaria 2 роки тому

    why does it click when you explain it . thank you

  • @princessangel3337
    @princessangel3337 3 роки тому +1

    Umm did anyone notice 3 raise to the power of 2 is 6
    Is it suppose to be 9???
    In the last part

  • @reitsuki2680
    @reitsuki2680 Рік тому

    i dont get it.. A^3+B^3=(X+5)(X^2-5X+5^2) do i need to put ^2 on the last because some answers doesnt have any like 1:22 and 3:38 but 2:25 and 5:35 has some

    • @dominusdone5023
      @dominusdone5023 4 місяці тому

      on the least what? You mean like 5^2? No its just to tell you that you square 5 to get 25 but you dont leave it as 5^2. Its not on there because theyve already squared the value

  • @arthurlopez7960
    @arthurlopez7960 3 роки тому

    what is 3x^3 +24

  • @elmorsevillo4628
    @elmorsevillo4628 5 років тому +1

    How do you know the sign in between?

    • @nylfraxx4993
      @nylfraxx4993 5 років тому +3

      1st sign = same as the original equation
      2nd sign = opposite sign of the original equation
      3rd sign = always positive

    • @cristianna_jasmyn
      @cristianna_jasmyn 2 роки тому

      @@nylfraxx4993 thanks.

  • @jonathanonyumbe8077
    @jonathanonyumbe8077 5 років тому

    Excellent job bro

  • @yavuz8785
    @yavuz8785 3 роки тому

    There were the same questions as your examples in my book lol

  • @ZshantiAthenaZafe
    @ZshantiAthenaZafe 4 дні тому

    How did he get the 36?

  • @chocolateangel8743
    @chocolateangel8743 2 роки тому

    Personally, I think it's easier to use an area model. This way, you don't have to memorize any formulas.