Factoring Sums and Differences of Perfect Cubes

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  • Опубликовано: 14 дек 2024

Комментарии • 254

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  11 месяцев назад +11

    Factoring Formula Sheet: bit.ly/4dFNZJ8
    Final Exams and Video Playlists: www.video-tutor.net/

  • @zackkk797
    @zackkk797 9 месяцев назад +12

    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.

  • @ian4921
    @ian4921 5 лет назад +605

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

    • @tasnimshahar1618
      @tasnimshahar1618 4 года назад +12

      hey, could you explain what does it mean?

    • @nadiakessel292
      @nadiakessel292 4 года назад +41

      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 4 года назад +14

      LEGEND

    • @xlrosr-yt6636
      @xlrosr-yt6636 4 года назад +5

      Wow thnx

    • @moishesh4177
      @moishesh4177 4 года назад +7

      OMG thank you for the trick imma use it

  • @JamJamxo
    @JamJamxo 4 года назад +139

    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 Год назад

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

    • @etheosumn9274
      @etheosumn9274 Год назад

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

    • @josephpostma1787
      @josephpostma1787 9 месяцев назад +1

      @@Mike-zy8in Is that the banana man?

    • @Mike-zy8in
      @Mike-zy8in 9 месяцев назад

      @@josephpostma1787 yea my bro check it out

  • @michaelnorth6286
    @michaelnorth6286 5 лет назад +119

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

    • @jecymiguelalmonte7685
      @jecymiguelalmonte7685 3 года назад +1

      Facts

    • @dominusdone5023
      @dominusdone5023 8 месяцев назад

      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 7 месяцев назад

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

  • @MrMrannoying
    @MrMrannoying 6 лет назад +82

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

    • @vizier6211
      @vizier6211 5 лет назад +10

      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 4 года назад +4

      Senior year? I'm in 8th grade

    • @attabanklint2386
      @attabanklint2386 3 года назад +4

      @@Don_suerte now ur at 9th grade

    • @Baitcasterbass
      @Baitcasterbass Год назад +1

      @@Don_suerte now 10th

    • @tinolsen9305
      @tinolsen9305 7 месяцев назад

      @@Don_suerte now 11th

  • @internetbot3947
    @internetbot3947 5 лет назад +45

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

    • @Zane021
      @Zane021 4 месяца назад

      I was gonna say the same thing 😂

  • @fireplayz7936
    @fireplayz7936 Месяц назад +1

    You saved my life. Apex learning did a bad jobs on teaching me how to solve these type of questions. Thank you

  • @alexbeaulieu2287
    @alexbeaulieu2287 4 года назад +11

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

  • @M7j3
    @M7j3 6 лет назад +14

    your the best
    never stop your da way up

  • @juliamargarita6688
    @juliamargarita6688 6 лет назад +17

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

  • @itsmez7802
    @itsmez7802 4 дня назад

    I am taking my college math final tomorrow and this video saved my life. Explained it better than the professor in 1/4 the time. Thanks!

  • @jedisantos2455
    @jedisantos2455 4 года назад +26

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

  • @PrincessRainbowDanceSing
    @PrincessRainbowDanceSing Год назад +1

    omg i love you it helped sooooooo much🥺

  • @mohubeduabram3896
    @mohubeduabram3896 6 лет назад +14

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

  • @mattpelandas6660
    @mattpelandas6660 2 года назад +3

    tysm this was very helpful for us grade 8 learners

  • @lefamofokeng8291
    @lefamofokeng8291 3 года назад +11

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

    • @Mike-zy8in
      @Mike-zy8in Год назад

      Bro go RUclips - are you a good person by living waters

  • @rayf1568
    @rayf1568 5 лет назад +46

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

  • @arthurlouw2579
    @arthurlouw2579 4 года назад +10

    I was absent in this lesson so thanks for the help

  • @bonoloseopa8414
    @bonoloseopa8414 4 года назад +1

    The way I appreciate you rn🙏

  • @thecoloredhost
    @thecoloredhost Год назад +2

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

  • @Kamori_113
    @Kamori_113 4 года назад +5

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

  • @NsaneSly
    @NsaneSly 4 года назад +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?

    • @HeathAtkins-y7u
      @HeathAtkins-y7u 11 месяцев назад

      I want to know the same thing

    • @australium7374
      @australium7374 11 месяцев назад +2

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

    • @HeathAtkins-y7u
      @HeathAtkins-y7u 11 месяцев назад

      Thank you

    • @NsaneSly
      @NsaneSly 10 месяцев назад +1

      fuck you math is for pussys@@australium7374

  • @unclefrank3084
    @unclefrank3084 3 года назад +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 😭😭😭

  • @Je527321
    @Je527321 3 года назад

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

  • @marissagarcia5329
    @marissagarcia5329 2 года назад +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

  • @megumiazie9343
    @megumiazie9343 4 года назад +6

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

  • @janet9568
    @janet9568 3 года назад

    This guy is a lifesaver

  • @orangecountydas7108
    @orangecountydas7108 3 года назад +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 3 года назад +1

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

  • @ZX7KIRK
    @ZX7KIRK Месяц назад

    As always a great video. very knowledgeable, very precise and clear with your language. many thanks

  • @baguiowhrenchzallenb.2442
    @baguiowhrenchzallenb.2442 3 года назад

    This literally made me understand the topic better

  • @worldoftrauma
    @worldoftrauma 2 года назад +25

    my brain is not braining

    • @Xidd-qw2em
      @Xidd-qw2em 4 месяца назад +2

      I feel you mah

    • @JoshuaWhitie
      @JoshuaWhitie 29 дней назад +1

      @@Xidd-qw2emmaths is hard guys don’t best urself up over ot

  • @AnthonyChisom-s9b
    @AnthonyChisom-s9b 8 месяцев назад

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

  • @joseolivaiii3680
    @joseolivaiii3680 3 месяца назад

    This saved my a** did from getting a zero, I don't understand anything from my module and this just went straight to the point and i can finally understand it.

  • @mori4160
    @mori4160 5 лет назад +3

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

  • @scadoodoo1405
    @scadoodoo1405 2 года назад +1

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

  • @reynconstantinehilum647
    @reynconstantinehilum647 5 лет назад +2

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

  • @Dvasusaf
    @Dvasusaf 8 месяцев назад

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

  • @POV935
    @POV935 2 года назад +1

    Thank you bro your the best 😭❤️

  • @hamedmacarthur7130
    @hamedmacarthur7130 4 месяца назад

    I have learned a lot from you❤

  • @thechisensei
    @thechisensei 4 года назад +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 :)

  • @markmeyer6233
    @markmeyer6233 2 года назад

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

  • @kirinsuki
    @kirinsuki 4 месяца назад

    DUDE I LOVE U SO MUCH OMG

  • @Baitcasterbass
    @Baitcasterbass Год назад

    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 8 месяцев назад

      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

    • @bladelazoe
      @bladelazoe 3 дня назад

      @@dominusdone5023 I'd argue that it's a mixture of that and BAD teachers. Many teachers are just simply boring to listen to even if they know their shit. I love math but some math teacher make it a chore.

  • @champboy1492
    @champboy1492 5 лет назад +1

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

  • @novasnightingale3559
    @novasnightingale3559 4 года назад +1

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

  • @JuanMolina-tl2xc
    @JuanMolina-tl2xc 4 года назад +1

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

  • @justfofunfun6930
    @justfofunfun6930 3 года назад +2

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

  • @autobotdan6247
    @autobotdan6247 5 лет назад +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.

  • @aynara._aa2127
    @aynara._aa2127 3 года назад

    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🙏🏼

  • @WendyRMaik
    @WendyRMaik 9 месяцев назад

    Thanks I finally understand ❤

  • @kentanjiken1768
    @kentanjiken1768 4 года назад +1

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

  • @aliyahrosa6184
    @aliyahrosa6184 5 лет назад

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

  • @tommrfrancismosqueda1974
    @tommrfrancismosqueda1974 4 года назад

    The Great mathematician

  • @welikelethabo
    @welikelethabo 4 года назад +15

    I feel smart now

    • @lunacygaming2288
      @lunacygaming2288 3 года назад

      I have more subscribers than you so I am smarter

    • @Spolt_main
      @Spolt_main 3 года назад

      @@lunacygaming2288 Bow before me peasant.

    • @Spolt_main
      @Spolt_main 3 года назад

      @@lunacygaming2288 he is now just as smart as you

    • @lunacygaming2288
      @lunacygaming2288 3 года назад

      @@Spolt_main I like turtles

    • @Spolt_main
      @Spolt_main 3 года назад

      @@lunacygaming2288 Ok.

  • @s_j07
    @s_j07 3 года назад

    YOU HELPED ME ALOT. THANK YOU!

  • @bluliite
    @bluliite 5 месяцев назад +2

    How the hell is anyone supposed to remember a million different formulas? Those who pass algebra have great memories. It's not that we can't do it, it's just that it's too much to retain. It is allll about memory.

    • @homegymhulk7256
      @homegymhulk7256 27 дней назад +1

      It's all about practice practice practice.
      Grinding through examples until you get used to them , working through a formula multiple times until it starts to feel intuitive.
      If you need to , chatgpt can generate practice problems immediately for you , or you can pick up a work book in the subject , but you can't be expected to remember something without rehearsing and practicing it repeatedly ,
      And the element of practice does not take a special mental gift ,it only requires persistence.

    • @bluliite
      @bluliite 27 дней назад

      @homegymhulk7256 good answer

  • @mistmwehehe
    @mistmwehehe 5 лет назад

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

  • @Bbq.Gang.DreiQuebec
    @Bbq.Gang.DreiQuebec 3 года назад

    Ur good sir tnx for everything ☺️

  • @johnyboiis
    @johnyboiis 4 месяца назад

    my school uses some dumb explanations for this type of thing. Thank you

  • @kellyly7260
    @kellyly7260 3 года назад +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.

  • @DENVERCOVITA
    @DENVERCOVITA Год назад +1

    tysm

  • @1ducked862
    @1ducked862 Год назад

    bruh I need a teacher like him

  • @pinkym.rivera4616
    @pinkym.rivera4616 4 года назад

    Thank you , you helped me a lot

  • @gilfromyt1609
    @gilfromyt1609 5 лет назад

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

  • @sanopann1896
    @sanopann1896 2 года назад

    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

  • @Adrianpogi.
    @Adrianpogi. 2 года назад

    7:43 negative 1:20 positive

  • @jdivineee1365
    @jdivineee1365 4 года назад +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 ?

  • @Cooldude92144
    @Cooldude92144 8 месяцев назад +3

    Why do we need to know thsi

  • @jaydig3288
    @jaydig3288 4 года назад

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

  • @sarra5122
    @sarra5122 Год назад

    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 ?

  • @mechackkaba8578
    @mechackkaba8578 4 года назад +1

    Thank u very much sir ur videos helps a lot

  • @Fatima-zf5ym
    @Fatima-zf5ym 4 года назад

    I justttt wannnaa say thankkk youuuuu

  • @43jm43
    @43jm43 3 года назад

    the suggested videos at the end are blocking the last example

  • @trebeccabattle8129
    @trebeccabattle8129 6 лет назад +1

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

  • @reitsuki2680
    @reitsuki2680 2 года назад

    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 8 месяцев назад

      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

  • @saadomary2165
    @saadomary2165 5 лет назад

    Thank you sooo much !!

  • @nxaap355
    @nxaap355 3 года назад

    Thank you 🙏

  • @reikunator9066
    @reikunator9066 4 года назад +1

    2:21 Isn't the end suppose to be 25^2, Please help-

    • @BFLeoGD
      @BFLeoGD 4 месяца назад

      It's been 4 years with no replies, did you finally got it?

  • @ivyngobeni5922
    @ivyngobeni5922 2 года назад

    danko chief

  • @HeathAtkins-y7u
    @HeathAtkins-y7u 11 месяцев назад

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

  • @ruodraws9927
    @ruodraws9927 3 года назад

    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.

  • @burgber_
    @burgber_ Год назад

    Thank you bro frfr

  • @sheila5018
    @sheila5018 2 года назад

    helped a lot

  • @thatomofolo452
    @thatomofolo452 Год назад +1

    🙋👍👍

  • @jrexx2841
    @jrexx2841 7 лет назад +1

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

    • @JG-ld6cf
      @JG-ld6cf 6 лет назад +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 :)

  • @jonathanonyumbe8077
    @jonathanonyumbe8077 5 лет назад

    Excellent job bro

  • @KlasseCaldiny
    @KlasseCaldiny 4 года назад

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

  • @epochick
    @epochick 2 года назад

    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..

    • @SDArgo_FoC
      @SDArgo_FoC 2 года назад

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

  • @hnniri
    @hnniri 3 года назад

    my brain hurts from math 😭 thanks for the help

  • @chocolateangel8743
    @chocolateangel8743 2 года назад

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

  • @sarra5122
    @sarra5122 Год назад

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

  • @elmorsevillo4628
    @elmorsevillo4628 5 лет назад +1

    How do you know the sign in between?

    • @nylfraxx4993
      @nylfraxx4993 5 лет назад +3

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

    • @cristianna_jasmyn
      @cristianna_jasmyn 3 года назад

      @@nylfraxx4993 thanks.

  • @faysalarab
    @faysalarab 5 лет назад

    thank you man

  • @JuanMolina-tl2xc
    @JuanMolina-tl2xc 4 года назад

    THANKS BROOOOOOOOO

  • @reghdelosreyes6416
    @reghdelosreyes6416 4 года назад

    Where did the formula above came from?

  • @valoretta4435
    @valoretta4435 8 месяцев назад

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

  • @hllryv
    @hllryv 2 года назад +1

    4:26 umm 5 x 5 x 5= 25 right why it can't be a cube?

    • @reitsuki2680
      @reitsuki2680 2 года назад +1

      no its not 5 x 5 = 25 x 5 = 125 Its a perfect cube if its ^2 but its ^3.. 25 is not a perfect cube of 3, its perfect square of 2

  • @bruhi-4589
    @bruhi-4589 2 года назад

    thanks !!

  • @klause8587
    @klause8587 4 года назад

    what if the cube root is a decimal?
    \