Factoring Binomials With Exponents, Difference of Squares & Sum of Cubes, 2 Variables - Algebra

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  • Опубликовано: 31 окт 2024

Комментарии • 403

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  10 месяцев назад +5

    Factoring Formula Sheet: bit.ly/4dFNZJ8
    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

  • @ehhe6406
    @ehhe6406 4 года назад +465

    This is just for me to refer back to :)
    x^2 + 4x ~ 0:10
    12y^3 - 18y^5 ~ 1:01
    x^2 - 25 ~ 2:08
    x^2 - 36 ~ 3:35
    4x^2 - 64 ~ 3:35
    3x^2 - 108 ~ 4:30
    9x^2 - 49 ~ 5:13
    25x^2 - 64y^2 ~ 5:58
    121x^4 - 81y^6 ~ 6:30
    x^3 - 8 ~ 7:40
    x^3 + 27 ~ 9:13

    • @keonee2099
      @keonee2099 4 года назад +11

      Thank kageyama!

    • @jikiriyusnur3943
      @jikiriyusnur3943 4 года назад +9

      Arigatou kageyama san😙

    • @ehehet5801
      @ehehet5801 4 года назад +5

      odading mang oleh

    • @ehhe6406
      @ehhe6406 4 года назад +9

      @@ehehet5801 Yes. You will turn into Iron Man.

    • @halfcookedramen
      @halfcookedramen 3 года назад +7

      Arigatou Tobio San. Kore wa sūgaku ni yakudachimasu.

  • @brandonzarate2736
    @brandonzarate2736 5 лет назад +225

    if you plan on going taking Calculus or any higher level match, I recommend having a strong foundation of algebra and learning these tricks. It saves a lot of time and headache

    • @trentcard
      @trentcard 2 года назад +14

      yup, in precalculus now and are at risk of failing because i didnt know this stuff... special thanks for the school system for making me skip a year of math and missing an entire year worth of content...

  • @juancalooy
    @juancalooy 6 лет назад +1330

    *I realize this guy is better than my teacher*

    • @musicfriend2051
      @musicfriend2051 5 лет назад +7

      😂😂👍

    • @whatwasisaying1338
      @whatwasisaying1338 5 лет назад +19

      Real talk.

    • @biscuit4240
      @biscuit4240 4 года назад +6

      He's better than my chem teacher also, helped me in chem hella

    • @lishup3975
      @lishup3975 4 года назад +1

      I realized this a long ago!

    • @exotic_rich9798
      @exotic_rich9798 4 года назад +2

      John Carlo Fajardo lol yep. I’m taking online classes once a week for school and can’t remember crap. Thank god for this guy

  • @umlizziee
    @umlizziee 6 лет назад +100

    love how you show multiple examples instead of just one or two , truly helps understand how to solve any type of problem

  • @noperope325
    @noperope325 9 месяцев назад +2

    You're one of the only channels that actually helps me, thank you for being thorough even with small stuff and going at a slow enough pace, providing lots of examples. I've had a tough time with math in high school and college and almost gave up my dream of robotics because of it. Your videos helped me fight my way up to calculus in college (at 30) while I previously failed even basic algebra in high school and now I'm closer to my dream than ever. Thank you!

  • @whatwasisaying1338
    @whatwasisaying1338 5 лет назад +74

    If more teachers were as helpful as you, sir, more people would pursue math without fearing it. Wish I would've taken more math classes back in college.

    • @lemondrop8203
      @lemondrop8203 2 года назад

      Just focus and these teachers would be helpful

    • @DustlyFog
      @DustlyFog Год назад

      @@lemondrop8203 may be true, but I try to focus a lot, but for some reason (maybe because it's summer school and I'm dumb) I don't really get it when the teacher explains all the time, and it really helps me when I study before class. It could be because sometimes people are talking or I'm miss hearing things.

    • @lemondrop8203
      @lemondrop8203 Год назад

      @@DustlyFog Asking questions really helps with that

  • @kei.s3
    @kei.s3 5 лет назад +189

    I have a unit test in math about these tomorrow. Wish me luck y'all!!!

  • @alina-bm2uj
    @alina-bm2uj 5 лет назад +52

    So happy I found this. My test is literally tomorrow and my teacher can't explain anything so this really saved me. :)

  • @ciaoitalo
    @ciaoitalo 3 года назад +8

    I'm getting confused with exponents on my calculus homework and this has helped so much. Thank you!

  • @unknownsoul7043
    @unknownsoul7043 4 года назад +23

    dude who are you? like who are you really?
    oh gosh man you can teach...you can really teach.....
    this is a gift, you should really really continue this.

  • @seakakgoleregards5385
    @seakakgoleregards5385 2 года назад +1

    You're a life saver, I'll be writing math soon and I didn't know what to do, you literally saved my life and I don't know how to thank you. May God save and rescue you from all your troubles and up coming difficulties 🥺🥺. You're an angel send by God 💕💕

  • @kaylenpotter6147
    @kaylenpotter6147 6 лет назад +54

    Don't know what i would do without u😖❤️

  • @FractalFreedom
    @FractalFreedom 3 года назад +26

    This is yet another reason why the education system is so flawed, this random guy on RUclips can explain these concepts exponentially better than my math teacher and I don’t even have the ability to ask questions. God why can’t every teacher explain math in this way straightforward, doesn’t overly simplify or complexify it. So that every kid has to completely understand they explain it in such a long drawn out way. Instead of the most simple straightforward logical way. It’s the adderall that’s making me write this

  • @alexanderthompson5713
    @alexanderthompson5713 6 лет назад +13

    Helpful video.
    Tip for anyone watch: x1.5 speed sounds normal

  • @MAYONNAISEMOOSE
    @MAYONNAISEMOOSE 5 лет назад +1

    I'm thinking of becoming your patron, as it is the first time I've supported anyone financially; You've helped me so much that im actually astounded.

  • @jessephiri7834
    @jessephiri7834 3 года назад +2

    This guy is 5x better than Khan academy... when I was in 9th grade I watched Khan....and never understand anything...I quited watch RUclips video, but with these dude ...I totally understand 200%

  • @mick2231
    @mick2231 4 года назад +7

    Your an absolute legend mate, better than my actual maths teacher :)

  • @karinaestoque413
    @karinaestoque413 4 года назад +8

    This video helps a lot, thank you.
    I more understand it than my modules

  • @sophialacroix4238
    @sophialacroix4238 4 года назад +6

    Im in love with this man for his brains and his voice

  • @mauimatcha
    @mauimatcha 2 года назад +20

    I'm in 7th Grade but I need to learn factoring polynomials for my upcoming competition. Thank you so much! This was really helpful!

  • @GeekPhD
    @GeekPhD 2 года назад +2

    This man makes me confident enough to try calculus thanks man

  • @captnebulace
    @captnebulace 4 года назад +4

    Thank you thank you thank you for doing multiply types of problems. I've seen so many of these math videos where the instructor introduces a concept, does 1 simple problem that comes out even and pretty and that's it. You sir, are doing a great job

    • @blu3ch33ze3
      @blu3ch33ze3 3 года назад

      facts, I just started learning maths seriously and it's like soo simply now thanks to this guy !!!

  • @S愛-m7f
    @S愛-m7f 3 года назад +4

    We can all agree that this guy can make math easier to understand 👏🏻

  • @pokerchannel6991
    @pokerchannel6991 3 года назад +3

    This is excellent. I found a parallel way of thinking in chess. I came across a problem where in the middle of a complicated sequence, there was an even exchange of rooks. To me, it reminded me a lot of factor-simplification. Let me explain: with the middle part of the sequence involving a rook exchange, things were a bit complicated. But, when I realized that I could look at the rook as a GCF, it allowed me to simply take the even exchange and go back to looking at the cleaned up (factored out) remaining parts of the sequence. I hope I am explaining this decently. : ) In this way, I was able to cross spheres of knowledge: making an anaologous cross understanding of both fields: math and chess helping reinforce useful concepts in each respective field. By doing this, I both strengthened my math understanding (ie: putting a practical face to the exercise of factoring) and my chess understanding. : )

  • @brigreer4583
    @brigreer4583 Год назад +1

    This guy is exactly the teacher we all need 😢❤

  • @avemariaborja7071
    @avemariaborja7071 4 года назад +4

    I was having a mental breakdown earlier but after watching this you made this so much easier for me

  • @icyydreamgigi4703
    @icyydreamgigi4703 Месяц назад

    I feel like I can breathe when I find a video of his that correlates with what I’m working on. Thank you

  • @megalootbags
    @megalootbags 3 года назад

    You're a literal deity and probably will be the only reason I'm passing my math course this year.

  • @adelstar7599
    @adelstar7599 3 года назад +2

    Love your lessons,you're one of the best teachers ever,I dunno how to thank you.

  • @jacobmoreno7372
    @jacobmoreno7372 3 года назад +4

    god bless this mans soul

  • @playerdigested6819
    @playerdigested6819 7 лет назад +33

    A bit fast paced but very helpful. Good job.

    • @imissjokesonpurpose
      @imissjokesonpurpose 6 лет назад +3

      you srsly call that fast paced🤦

    • @-uurty
      @-uurty 4 года назад +2

      Stonesword I would too I kept having to pause

    • @lizzicanavan5995
      @lizzicanavan5995 4 года назад

      Uurty really was was watching in 1.5 speed bc I thought he was slow lol

    • @syulangg
      @syulangg 3 года назад

      @@imissjokesonpurpose i know this is REALLLLLY late but pls remember people learn at different paces and that's okay :)
      i hope you have a great day !

  • @unitedboys7433
    @unitedboys7433 2 года назад

    You are better than my teacher. I just realised you made it much more clearer than my teacher.Good video.I understood everything thanks a lot.

  • @maddiekumma7159
    @maddiekumma7159 3 года назад +7

    3:48 is literally the problem i’m working on rn this is great

  • @janjaezenbenitez6886
    @janjaezenbenitez6886 3 года назад

    Love this,,it’s better than my module,,10/10💙love feom the philipines!🇵🇭

  • @ashleyyuen902
    @ashleyyuen902 3 года назад

    your voice is calm and nice ty

  • @shaunnil8248
    @shaunnil8248 4 года назад +1

    I think why people like this kinda teaching so much is because it just tells you what to do. Not why. Why teachers take so long is because they want you to understand why you are going through the operations that you are going through. We don't know why the formula is a^3+b^3=(a+b)(a^2+ab+b^2) but if you'd listen to the teacher you'd probably understand. But this definitely clears it up for struggling people bc teachers try to tell you what you're doing while telling you why you're doing it which makes everything muddled. Personally, I think that teachers should tell you what to do *then* tell you why you're doing it.

  • @xordy8419
    @xordy8419 3 года назад

    This is what beautiful math is calming and very explained

  • @confucius5714
    @confucius5714 3 года назад

    you saved me, you taught me what i forgot in hybrid algebra 2 that i needed to know, thank you

  • @VictorGiyomatala-gr7wb
    @VictorGiyomatala-gr7wb Год назад

    Much appreciated,keep maths fit

  • @anjalibaiju2155
    @anjalibaiju2155 2 года назад

    Gosh I was trying to pass calculus without still knowing some of this. I love you, thank you!

  • @crabornag
    @crabornag 3 года назад

    This guy is a hero. Thank you

  • @kakbro2730
    @kakbro2730 7 лет назад

    you are best at teaching. simple yet powerful.

  • @trickles8141
    @trickles8141 3 года назад

    Love youre Vids man this is gonna help me in the exams tomorrow, THANK YOURY MUCH!!

  • @drawingdragons4097
    @drawingdragons4097 4 года назад

    It takes him ages but the guy gets the point across thank you
    I have a test tomorrow in geometry and I’m hecking dying bc I had to learn half this stuff from online school and I hated it

  • @lhirn4015
    @lhirn4015 2 года назад

    You are litteral life savor

  • @phitfacility4115
    @phitfacility4115 2 года назад

    Thanks man, your math is the same stuff I learned going to college ten years ago. I've been brushing up and I keep finding people teaching different methods. The other methods still work however are not efficient when it comes to time

  • @enriquecastillo3729
    @enriquecastillo3729 5 лет назад +1

    Thank you for helping me with my homework.

  • @tyreecestephen2327
    @tyreecestephen2327 6 лет назад +38

    slow yo ass down where the fire at!!

  • @dabezt5926
    @dabezt5926 4 года назад +1

    This guy saved my life
    A can understand this guy's english than my teacher explaining it in our language

  • @Riflemaster025
    @Riflemaster025 3 года назад

    Thanks m8 really helped me on my test during online class

  • @iam2busy465
    @iam2busy465 7 лет назад +12

    Just a tip for all of you watching this video:
    If you're having a hard time remembering the sum/difference of cubes, just use SOAP.
    S.ame
    O.pposite
    A.lways
    P.ositive
    The first sign is always the same, the 2nd is opposite, and the last one is always a plus.

    • @nitamac1312
      @nitamac1312 6 лет назад +1

      factor x^3-64
      (x-4) (x^2+4x+16)
      (x-4) then negative sign is the same as the problem that needed factoring
      +4x is positive because is OPPOSITE of the as the problem that needed factoring
      +16 will always be positive

    • @reinniel2092
      @reinniel2092 6 лет назад

      What??!

    • @reinniel2092
      @reinniel2092 6 лет назад +1

      Ur explaination Dont make sense fham

    • @bobthegreat7817
      @bobthegreat7817 5 лет назад

      Beyonce Mac u r my savior i finally understand :0000

  • @Youssef-Rashidi
    @Youssef-Rashidi 2 года назад

    At school they just tell you a step and then expect you to follow it without even understanding it and if you try asking them where did the step came from they won't tell you nothing and that sucks so bad .. but that guy is really a lifesaver

    • @14Anon2
      @14Anon2 Месяц назад +1

      This is why taking notes is so important. You can find out after class what you did not understand and then really get a comprehensive grip on the problem.

  • @StenTarvo
    @StenTarvo 3 года назад

    how do teachers manage to stretch this out over 2 and a half hours and I learned it better in less than 11 minutes.

  • @outsidergua
    @outsidergua 6 лет назад +1

    I am a math wiz but I suck at explaining. The problem is I have a 12 year that struggles understanding. But your videos have made it all that much easier for me to get my point across to her. Thank you very much!
    thumbs up and subed

  • @notmej2439
    @notmej2439 2 года назад

    ah yes, thank u, i came here to refresh my knowledge and you explained it hella gud

  • @adventureswithizaiah9218
    @adventureswithizaiah9218 4 года назад

    Thx brah this really explains better than my teacher does

  • @riversara
    @riversara 3 года назад +1

    God bless y’all and have a great day✝️🌈🤍🥰

  • @hanadieltom8373
    @hanadieltom8373 2 года назад

    When i tell you my jaw DROPPED at 2:08 cuz i thought it was too difficult/different, thank you.

  • @rachelapel2193
    @rachelapel2193 4 года назад

    In my head math is always chaotic !!Thanks for your calm demeanor when explaining ....I am math smart already ..no more mind chaos.

  • @jaehyun3748
    @jaehyun3748 2 года назад

    This man is better than my teacher

  • @lantana2333
    @lantana2333 4 года назад

    Thank you so much. Your videos have tremendously helped me in Geometry and Algebra.

  • @trentcard
    @trentcard 2 года назад

    I am a junior in high school taking college precalculus and after watching this, it is no wonder I got a 6/100 on a test today

  • @bofishdelish8353
    @bofishdelish8353 6 лет назад

    Thanks man, got a test tomorrow

  • @vincemichaeldanza2377
    @vincemichaeldanza2377 Год назад

    This video help me in all my schoolworks.

  • @chellodise
    @chellodise 5 лет назад +1

    Nice job man, love the videos!!!

  • @Aint_lew.
    @Aint_lew. 4 года назад

    This man is just great iam amazed ....😤

  • @məke
    @məke Месяц назад

    Bro you're the goat 👑

  • @hanjjijiji3445
    @hanjjijiji3445 2 года назад

    YOU SAVED MY LIFE

  • @jedidiaquerol389
    @jedidiaquerol389 4 года назад +18

    man im really going crazy during quarantine
    how u ask??
    i kept talking to myself about not remembering the important context...
    knowing im the only who has a fact about this situation :,)

  • @bruce.leblanc
    @bruce.leblanc 4 года назад +1

    Guy is better at explaining than my teacher

  • @bullet.witch.3000
    @bullet.witch.3000 4 года назад +1

    This video explained in 11 minutes what my math professor couldn't teach over the course of 2 weeks.

  • @yuriesantosvillacorte8396
    @yuriesantosvillacorte8396 Год назад +1

    Nice answer 😃😃😃 like the monomial haahahah
    You are nice teacher

  • @dacksonflux
    @dacksonflux 2 года назад +1

    Have I mentioned that I love you? Literally, I love you.

  • @kev-othegamer
    @kev-othegamer 2 года назад +1

    Thank you.

  • @omnimations
    @omnimations 3 года назад

    I beg you to keep doing these

  • @orangeoranges1383
    @orangeoranges1383 2 года назад

    thanks so much it really helped me

  • @roxyqueen5076
    @roxyqueen5076 6 лет назад

    hello .friend...listen you have really helped me this past week ..I found your videos on factoringand I will ask you if you could please explain a little more in detail on especially when you are factoring the exponents..I know that probably most people get this but I really like the way that you do these but I need more understanding. thanks if you could please explain a little more..

  • @iyatut6754
    @iyatut6754 4 года назад

    Learning without any explanation, and just our teacher at cam, makes no sense. Like- I know online teaching is hard, but I'd really appreciate a screen showing where those random numbers and letters came from. π~π
    Btw this video helped so much! TYSM

  • @anony2084
    @anony2084 4 года назад +1

    what a legend....

  • @mjdayandayan7895
    @mjdayandayan7895 4 года назад +11

    Who else is here cuz after 2 weeks they forgot how to do it again

    • @anjerylezekiel6112
      @anjerylezekiel6112 7 месяцев назад

      me bro

    • @14Anon2
      @14Anon2 Месяц назад

      Maths is something you have to continually practice until it becomes fluent, you can't just do a few test questions and move on and expect to retain it.

  • @ANXIETYPRIMEISUNCANCELABLE
    @ANXIETYPRIMEISUNCANCELABLE Год назад

    What I've learned over the years: Random algebra channels on the internet are better teachers than my math actual teachers.

  • @PianowithSasinduGoyum
    @PianowithSasinduGoyum 4 месяца назад +1

    Suggestion -
    Pls Boost the Bass of your voice.. by only hearing treble, it's somewhat hard to listen in high volume..
    Thanks

    • @PianowithSasinduGoyum
      @PianowithSasinduGoyum 4 месяца назад

      So it's hard to understand ur words too..
      That's why I thought to find another video..

  • @xClicKx
    @xClicKx 3 года назад

    Crazy how teachers make things like this seem so complicated.

  • @xanxai4253
    @xanxai4253 6 лет назад +4

    you solved an eight grader's problem. Thank you so much! 😊😊😊 sml!!!

  • @railyjazeberdida207
    @railyjazeberdida207 6 лет назад +1

    thank you very much because of it,i got 30/30 in my quiz

  • @One-2-Save
    @One-2-Save 3 года назад

    U literally the goat m8

  • @Lumiizt
    @Lumiizt 3 года назад

    TYSM, I CAN FINALLY UNDERSTAND MATH NOW ^ᴗ^

  • @eveluis1834
    @eveluis1834 3 года назад

    God bless you sir

  • @mysticrain3269
    @mysticrain3269 4 года назад

    In The 6th example you has the plus sign first insall the rest you have the minus sign first

  • @tylerpereira9457
    @tylerpereira9457 6 лет назад

    This was really really really really helpful !!!!!

  • @Kyo___
    @Kyo___ 2 года назад +1

    this video is 6 years old but is still better than my teacher. why they gotta explain so hard :(

  • @agnesmaimetsa5693
    @agnesmaimetsa5693 6 лет назад

    Wow. Bruh. You soon helpful. Thanks alot.
    I always watch your videos for help. Thank you man. God bless you

  • @alastairvergara4228
    @alastairvergara4228 4 года назад

    Thank you bro!

  • @radge8321
    @radge8321 2 года назад +1

    Wait, so can there be two different ways of factoring a binomial that are both correct? For example with 30x^2--30: can it be both, (5x+5)(6x--6) & (15x+15)(2x--2)?

  • @daPiNK2012
    @daPiNK2012 4 года назад

    Thank you for making the video! It was so helpful!

  • @gyeomibear
    @gyeomibear 2 года назад

    THANK YOU SO MUCH

  • @Foryoupage-tb6
    @Foryoupage-tb6 Месяц назад

    He made it so simple

  • @HusainRasool-m9g
    @HusainRasool-m9g 9 месяцев назад +1

    This is random, BUT 2006 KIDS ARE TURNING 18 THIS YEAR!!!!!, i got the "STILL SEARCHING GOOGLE FOR MATH HELP, ARE THE VIDEOS FROM 2006 REALY HELPING??, and then i started wondering how old the videos would be...

  • @JakirHussain-or3wt
    @JakirHussain-or3wt Год назад

    wow this is what i was looking for