Introduction to special products of binomials | Algebra I | Khan Academy

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Sal gives numerous examples of the two special product forms: perfect squares and the difference of two squares.
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Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.
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Пікірлер: 134

  • @bryannguyen658
    @bryannguyen65810 жыл бұрын

    The method he is using is FOIL (First, Outer, Inner, Last)

  • @lamyaaa5003

    @lamyaaa5003

    9 жыл бұрын

    hrw

  • @HappyPlaysWasTaken

    @HappyPlaysWasTaken

    3 жыл бұрын

    isnt that literally the exact same thing as the distributive property

  • @mahibhatt4011

    @mahibhatt4011

    3 жыл бұрын

    Ok thanks

  • @aloha102805
    @aloha1028053 жыл бұрын

    Who’s watching from 2020

  • @Snake101Gaming

    @Snake101Gaming

    3 жыл бұрын

    Me

  • @vicentpabalinas4137

    @vicentpabalinas4137

    3 жыл бұрын

    2021

  • @SsT-wg3ye

    @SsT-wg3ye

    3 жыл бұрын

    2021 lol

  • @komolal-amin5777

    @komolal-amin5777

    3 жыл бұрын

    @@SsT-wg3ye 2021 looooool

  • @b07.bunaocris25

    @b07.bunaocris25

    3 жыл бұрын

    2021

  • @josea3300
    @josea33008 жыл бұрын

    thanks man our teacher didn't really teach us this and still gave it for homework so thank you

  • @theoddpirate6695

    @theoddpirate6695

    6 жыл бұрын

    Jose A same Actually I wasn’t just listening ( cus we had to design our notebook so I was busy )

  • @fahadnasser2477

    @fahadnasser2477

    Жыл бұрын

    how r u doing now

  • @boardonfire4
    @boardonfire44 жыл бұрын

    dude this channel is like the only youtube channel to ever return value to its watchers i hop the tube pays u well khan u deserve every penny and then some

  • @screamingslave99
    @screamingslave9913 жыл бұрын

    i wish more teachers taught like this. the colors are awesome. its been a long time since i've been in school but this video is great! i wish i had this in school! keep up the good work sir!

  • @fahadalgharbe3881

    @fahadalgharbe3881

    2 жыл бұрын

    Are you alive?

  • @whosfredol5194

    @whosfredol5194

    Жыл бұрын

    Oh, hello fellow student... it seems I was only a mere 2 year old when you commented this; I guess schools brings the internet from old of ages back thogethere.

  • @KokoBhoneMyat

    @KokoBhoneMyat

    Жыл бұрын

    @@whosfredol5194 u 13?

  • @the_rusty_potato2643

    @the_rusty_potato2643

    10 ай бұрын

    No because 12+2 = 14. Not thirteen.

  • @talyahany1751
    @talyahany17515 ай бұрын

    Thank u so much U explained what a teacher explains in like a month

  • @enaljgt3565
    @enaljgt35653 жыл бұрын

    My teacher told me to watch this...

  • @lancearsenio4763

    @lancearsenio4763

    3 жыл бұрын

    Same

  • @wrestler.ashwinkumar44

    @wrestler.ashwinkumar44

    3 жыл бұрын

    Hsjdjd ki f

  • @unknownman6848
    @unknownman6848 Жыл бұрын

    What my teacher teached us: 1+1=2 Vs What coms in exam: (a+b)(a+b)

  • @Tehcarp
    @Tehcarp14 жыл бұрын

    Your use of colour is, in my mind, what stands out between your tutorials and those of others. This video is a good example of what works, though there could still be more colour used in a way that maintained the sensibility, and improved the understanding of students of the material.

  • @RobinUngureit
    @RobinUngureit13 жыл бұрын

    Thank you so much. I am currently going to an online college, and I haven't taken Algebra in years, watching you go through the problems enables me to better understand what it is that i am doing. thanks again =)

  • @fionacelinesantos7413
    @fionacelinesantos74134 жыл бұрын

    Thank you Sir, this is very helpful for my algebra class

  • @themode32
    @themode32 Жыл бұрын

    you're genuinely so helpful, thank you

  • @thatredfoxwips8757
    @thatredfoxwips87573 жыл бұрын

    2021, wassup

  • @DBRAH_
    @DBRAH_8 жыл бұрын

    Wow thank you soo much this was our next lesson and since now that I learned it in advance I probably wont have any problems with catching up in my class 😁😁 thanks so much

  • @carmeloramdath4899
    @carmeloramdath48993 жыл бұрын

    Taught me more than my teacher

  • @AMIELrenaissance
    @AMIELrenaissance10 жыл бұрын

    You're awesome. Thanks!

  • @elvimartinez5629
    @elvimartinez56293 жыл бұрын

    thanks man

  • @Zadoklives
    @Zadoklives4 жыл бұрын

    Very easy my friend helped out a lot

  • @joshualee3054
    @joshualee30549 жыл бұрын

    Thanks for the tip

  • @yazlinne50
    @yazlinne5010 жыл бұрын

    FOIL !

  • @avere9506
    @avere95064 жыл бұрын

    I love FOIL METHOD

  • @airamaedanicasogo-an1632
    @airamaedanicasogo-an16326 жыл бұрын

    Very educational! thanks! :)

  • @onewlf8938
    @onewlf89385 жыл бұрын

    thanks khan academy

  • @joshk5507
    @joshk55076 жыл бұрын

    i love you Sal, ur my hero

  • @raphaelleahpar9216
    @raphaelleahpar92164 жыл бұрын

    Is this for 1st year highschool?

  • @Kris_toastttt
    @Kris_toastttt11 жыл бұрын

    In the beginning of the video i was like hold on!! But then i remembered i could pause the video lol XD

  • @GrayXephyr
    @GrayXephyr12 жыл бұрын

    Good thing my teacher had your website on the whiteboard for several weeks...

  • @Jere616
    @Jere61610 жыл бұрын

    2bx or not 2bx, that is the question! Nice video, brings back memories I forgot.

  • @trickshot8544
    @trickshot8544 Жыл бұрын

    thank you bro for teaching me when my math teacher lectured us on her cats

  • @talyahany1751

    @talyahany1751

    5 ай бұрын

    Lol😂

  • @0981vince
    @0981vince5 жыл бұрын

    Thank god i thought i had no chance of learning this

  • @grinchparody660

    @grinchparody660

    5 жыл бұрын

    it the easiest thing ever

  • @mustaferoble
    @mustaferoble4 жыл бұрын

    thanks you have more information

  • @kookeu3929
    @kookeu39296 жыл бұрын

    Oc Dawg XB!!!🎶🎵😂😂😂

  • @renzmeepro

    @renzmeepro

    6 жыл бұрын

    KooKeu :3 lol

  • @zageous

    @zageous

    6 жыл бұрын

    Princess Thea MABANGIS!

  • @catherineanntolentino4949

    @catherineanntolentino4949

    5 жыл бұрын

    AYAYAYAYA ang pag ibig

  • @samsunguser3148

    @samsunguser3148

    5 жыл бұрын

    Sa Shopeeeeeeee.... Ang damiiiii....Bumili...

  • @frozenfishtv7992

    @frozenfishtv7992

    5 жыл бұрын

    PANO MO NASABI!!!!!!!!

  • @mattc7328
    @mattc73288 жыл бұрын

    Where's the video on Factor Special Products (Basic)? Example: x​2​​−d=(x+6)(x+c)

  • @eddie1bmx
    @eddie1bmx6 жыл бұрын

    this video of 10 minutes is better than my professor of math like suscribe.

  • @taylorstan8411
    @taylorstan84117 жыл бұрын

    thanks keep sharing your knowledge there are many people who needs your hlp keep doing it god bless

  • @markvincentordiz
    @markvincentordiz3 жыл бұрын

    although the same result, 2(3x)(-7) = -42x, i was taught 2[(3x)(-7)] = -42x.

  • @allyzamariecalsado1847
    @allyzamariecalsado18478 жыл бұрын

    how about this cab you solve it (2a-7)(2a-7)

  • @humzatariq1604

    @humzatariq1604

    7 жыл бұрын

    2a(2a-7) = 4a^2 - 14a -7(2a-7) = -14a + 49 Therefore; 4a^2 - 14a -14a +49 (or 7^2) = 4a^2 -28a + 7^2

  • @aiyasiamanalo-mr7rx
    @aiyasiamanalo-mr7rx6 ай бұрын

    Its just like polynomials but instead its binomials which you need to multiply?

  • @fate2019
    @fate20195 жыл бұрын

    there are easier methods especially for special products but anyways, thanks!

  • @amyvergara6063
    @amyvergara60634 жыл бұрын

    Now i can pass the exam

  • @Loudfard
    @Loudfard Жыл бұрын

    👍

  • @patriciamaeperez7168
    @patriciamaeperez71689 жыл бұрын

    How about this.... (3-4m)² , (8-3x) (8+3x) , and (2t-1) (t+5) ?? PS: Can you solve this.. pretty please.??

  • @xxgamer_lucyxx1214
    @xxgamer_lucyxx12142 жыл бұрын

    Still don't get it but I'll try

  • @hahah3616
    @hahah3616 Жыл бұрын

    Aww

  • @juandiegotorres4184
    @juandiegotorres41846 жыл бұрын

    Hola

  • @johnralph8213
    @johnralph821310 жыл бұрын

    Or ... Step 1 : Square of its first term . Step 2 : Product of its terms. Step 3 : Square of its last term. Simple .

  • @Pikachu-ho8rp

    @Pikachu-ho8rp

    6 жыл бұрын

    nope. square the first term. product of both terms TIMES TWO. square the last term.

  • @hexagon1421

    @hexagon1421

    6 жыл бұрын

    You mean FOIL?

  • @christianshaw6259
    @christianshaw625911 жыл бұрын

    First Outer Inner Last

  • @steffen441
    @steffen4415 жыл бұрын

    FOIL METHOD AND VERTICAL METHOD AND HORIZONTAL METHOD...

  • @terenzbc2559
    @terenzbc25598 жыл бұрын

    You cn also just 9x^2+2(x)(9)+9^2

  • @zae4519
    @zae45193 жыл бұрын

    Dc

  • @MrSmf500
    @MrSmf50013 жыл бұрын

    @kabooski First Out In Last

  • @salmaalmehairbi2296
    @salmaalmehairbi22966 жыл бұрын

    I need a vid about special products of polynomials😭

  • @zapxcero

    @zapxcero

    6 жыл бұрын

    it's on the website khanacademy search for it

  • @beastbogs6133
    @beastbogs61333 жыл бұрын

    2021 gang

  • @_cheya._

    @_cheya._

    2 жыл бұрын

    2022 gang

  • @EnzTrapRemix
    @EnzTrapRemix6 жыл бұрын

    ı am turkey

  • @mariam-cc6be

    @mariam-cc6be

    3 жыл бұрын

    K.

  • @randomperson0027
    @randomperson00279 ай бұрын

    Why do this and not x² + 81?

  • @elz1167
    @elz11676 жыл бұрын

    hi nerds

  • @JendieEUrcia
    @JendieEUrcia3 жыл бұрын

    Good Day ! Can I ask permission to use this video on my module content. I wanted to attach the link so that my student can access it and watch for them to have additional examples and explanations. Hope you can notice my comment. Thank you and God Bless!

  • @grinchparody660
    @grinchparody6605 жыл бұрын

    sal is on tv

  • @bloroxcleach896
    @bloroxcleach8966 жыл бұрын

    You can use punnet square method for the first problem.

  • @ineedmymoneyback3390
    @ineedmymoneyback33907 жыл бұрын

    My teacher speaks math... how?

  • @kishorkumarchaudhury7912
    @kishorkumarchaudhury7912 Жыл бұрын

    I am

  • @kishorkumarchaudhury7912
    @kishorkumarchaudhury7912 Жыл бұрын

    From2022

  • @sbxdization
    @sbxdization7 жыл бұрын

    how do you do [x+5] [x-7]

  • @kenvincent6829
    @kenvincent68297 жыл бұрын

    foil method will do

  • @kaceackerman443
    @kaceackerman4437 жыл бұрын

    help me please ..please how to solve this? (a-11)² (2b+6)² (3a²b-2b)² (3/2mn+2)² [(x+1)²-5)]²

  • @DeraySEXtonn
    @DeraySEXtonn12 жыл бұрын

    FOIL FTW!

  • @mystque8754
    @mystque87545 жыл бұрын

    what if its 20pm + 4n² + 20pm will it be 44 n²pm²??

  • @kabooski
    @kabooski14 жыл бұрын

    F.O.I.L

  • @evo3_fanboy345
    @evo3_fanboy3453 жыл бұрын

    joke lang

  • @eugeniasto.domingo6412
    @eugeniasto.domingo641211 жыл бұрын

    WHAT THE HELL FOIL -_-

  • @Mobystopmotion
    @Mobystopmotion4 жыл бұрын

    You could literally put it in a punnet square lol

  • @spektree8448

    @spektree8448

    4 жыл бұрын

    yeah then just add

  • @frozenfishtv7992
    @frozenfishtv79925 жыл бұрын

    Stop repeating words bro :3

  • @bestseedever2104
    @bestseedever21042 жыл бұрын

    1:48 it’s actually 81x^2

  • @dv4346
    @dv43467 жыл бұрын

    The last example you did was too fast and didn't make sense [the (a+b)(a-b)]

  • @diya4822

    @diya4822

    5 жыл бұрын

    FOIL method

  • @allisonsmith7636
    @allisonsmith76367 жыл бұрын

    How come the FOIL method wasn't used?

  • @Mark-pd8eb

    @Mark-pd8eb

    6 жыл бұрын

    Allison Smith He did. He just went STEP BY STEP to further clarify what your multiplying.

  • @maryamahmad9762
    @maryamahmad97628 жыл бұрын

    how do you do this? 4(x+6)(x−5)

  • @squareball7017

    @squareball7017

    8 жыл бұрын

    x2 + 1x - 30 x2 = x squared

  • @someoneelsewhere9519

    @someoneelsewhere9519

    7 жыл бұрын

    Joker 4life associative property. distribute the 4 among the first binomial, then distribute that amongst the second binomial

  • @humzatariq1604

    @humzatariq1604

    7 жыл бұрын

    4(x+6) (4x+24) (x-5) 4x(x-5) = 4x^2 -20x 24(x-5) 24x - 120 = 4x^2 - 20x +24x - 120 = 4x^2 +4x -120

  • @reallynigga2049
    @reallynigga20495 жыл бұрын

    Welcome to college😂

  • @forthelols552

    @forthelols552

    5 жыл бұрын

    Hey Whatssup! This is grade 10 bud

  • @diya4822

    @diya4822

    5 жыл бұрын

    @@forthelols552 Whoops! Seventh grade for me 😏😂

  • @reallynigga2049

    @reallynigga2049

    5 жыл бұрын

    For the lols... I'm only grade 8😂

  • @grinchparody660

    @grinchparody660

    5 жыл бұрын

    u learn this in 8th grade

  • @maeannhilario3041
    @maeannhilario30416 жыл бұрын

    this is literally just the FOIL method in a different name

  • @theoddpirate6695
    @theoddpirate66956 жыл бұрын

    Wtf is Abab method?!?