Factoring Sums and Differences of Perfect Cubes

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 &...
_________________________________________
Factoring Formula Sheet:
bit.ly/4dFNZJ8
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections

[@TheOrganicChemistryTutor]

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

[@ian4921]

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

[@tasnimshahar1618]

hey, could you explain what does it mean?

[@nadiakessel292]

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]

LEGEND

[@xlrosr-yt6636]

Wow thnx

[@moishesh4177]

OMG thank you for the trick imma use it

[@JamJamxo]

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]

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

[@etheosumn9274]

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

[@josephpostma1787]

@@Mike-zy8in Is that the banana man?

[@Mike-zy8in]

@@josephpostma1787 yea my bro check it out

[@michaelnorth6286]

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

[@jecymiguelalmonte7685]

Facts

[@dominusdone5023]

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]

@@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]

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

[@vizier6211]

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]

Senior year? I'm in 8th grade

[@attabanklint2386]

@@Don_suerte now ur at 9th grade

[@Baitcasterbass]

@@Don_suerte now 10th

[@tinolsen9305]

@@Don_suerte now 11th

[@internetbot3947]

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

[@Zane021]

I was gonna say the same thing 😂

[@worldoftrauma]

my brain is not braining

[@Xidd-qw2em]

I feel you mah

[@jedisantos2455]

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

[@alexbeaulieu2287]

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

[@M7j3]

your the best never stop your da way up

[@bluliite]

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.

[@mattpelandas6660]

tysm this was very helpful for us grade 8 learners

[@mohubeduabram3896]

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

[@rayf1568]

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

[@noshi8327]

me too

[@caitlingibbons2246]

(x^2-4y^3)(x^4+4x^2y^3+16y^6)

[@dbjmk8083]

@@caitlingibbons2246 hero

[@arthurlouw2579]

I was absent in this lesson so thanks for the help

[@lefamofokeng8291]

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

[@Mike-zy8in]

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

[@joseolivaiii3680]

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.

[@unclefrank3084]

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 😭😭😭

[@Kamori_113]

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

[@NsaneSly]

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]

I want to know the same thing

[@australium7374]

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

[@HeathAtkins-y7u]

Thank you

[@NsaneSly]

fuck you math is for pussys@@australium7374

[@Dvasusaf]

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

[@AnthonyChisom-s9b]

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

[@megumiazie9343]

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

[@marissagarcia5329]

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

[@PrincessRainbowDanceSing]

omg i love you it helped sooooooo much🥺

[@thecoloredhost]

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

[@thechisensei]

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 :)

[@bonoloseopa8414]

The way I appreciate you rn🙏

[@reynconstantinehilum647]

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

[@Je527321]

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

[@orangecountydas7108]

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]

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

[@scadoodoo1405]

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

[@Baitcasterbass]

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]

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

[@hamedmacarthur7130]

I have learned a lot from you❤

[@champboy1492]

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

[@baguiowhrenchzallenb.2442]

This literally made me understand the topic better

[@novasnightingale3559]

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

[@autobotdan6247]

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.

[@WendyRMaik]

Thanks I finally understand ❤

[@janet9568]

This guy is a lifesaver

[@POV935]

Thank you bro your the best 😭❤️

[@justfofunfun6930]

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

[@JuanMolina-tl2xc]

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

[@kellyly7260]

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-rw4vv7es9j]

That sucks

[@kirinsuki]

DUDE I LOVE U SO MUCH OMG

[@aliyahrosa6184]

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

[@aynara._aa2127]

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🙏🏼

[@johnyboiis]

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

[@jdivineee1365]

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 ?

[@kentanjiken1768]

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

[@HeathAtkins-y7u]

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

[@s_j07]

YOU HELPED ME ALOT. THANK YOU!

[@welikelethabo]

I feel smart now

[@lunacygaming2288]

I have more subscribers than you so I am smarter

[@Spolt_main]

@@lunacygaming2288 Bow before me peasant.

[@Spolt_main]

@@lunacygaming2288 he is now just as smart as you

[@lunacygaming2288]

@@Spolt_main I like turtles

[@Spolt_main]

@@lunacygaming2288 Ok.

[@jaydig3288]

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

[@mistmwehehe]

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

[@DENVERCOVITA]

tysm

[@pinkym.rivera4616]

Thank you , you helped me a lot

[@klause8587]

what if the cube root is a decimal? \

[@burgber_]

Thank you bro frfr

[@sarra5122]

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 ?

[@ruodraws9927]

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.

[@Bbq.Gang.DreiQuebec]

Ur good sir tnx for everything ☺️

[@tommrfrancismosqueda1974]

The Great mathematician

[@43jm43]

the suggested videos at the end are blocking the last example

[@facundocarattoli6450]

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

[@sanopann1896]

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

[@sarra5122]

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

[@princessangel3337]

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

[@gilfromyt1609]

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

[@mechackkaba8578]

Thank u very much sir ur videos helps a lot

[@1ducked862]

bruh I need a teacher like him

[@sheila5018]

helped a lot

[@saadomary2165]

Thank you sooo much !!

[@nxaap355]

Thank you 🙏

[@hllryv]

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

[@reitsuki2680]

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

[@trebeccabattle8129]

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

[@ilovenickbutidontlikeyou]

not really seems a lot easier than my teacher explained

[@MsBabaylan]

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

[@monamegahed3688]

tysm

[@reghdelosreyes6416]

Where did the formula above came from?

[@Fatima-zf5ym]

I justttt wannnaa say thankkk youuuuu

[@jrexx2841]

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

[@JG-ld6cf]

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 :)

[@timmyboy4367]

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

[@niharreddy872]

Thanks man

[@elmorsevillo4628]

How do you know the sign in between?

[@nylfraxx4993]

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

[@cristianna_jasmyn]

@@nylfraxx4993 thanks.

[@chocolateangel8743]

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

[@KlasseCaldiny]

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

[@bruhi-4589]

thanks !!

[@micolomaria]

why does it click when you explain it . thank you

[@gplaygames7314]

2:21 can we also use 25?

[@Yeabro476]

love you

[@epochick]

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]

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

[@JuanMolina-tl2xc]

THANKS BROOOOOOOOO

[@auroraborealis6671]

If the test was only on this and not like ten totally different things. I need a tutor ufh

[@ivyngobeni5922]

danko chief

[@ahleeshiabenedicto5806]

How to get the Two cubes back?

[@ZshantiAthenaZafe]

How did he get the 36?

[@fadedlight8118]

Thanks

[@yunaa_leiia1356]

WHERE DID THE 2X X 2X CAME FROM PLS REPLY LIKE WBERE??

[@reitsuki2680]

2 times itself

[@reitsuki2680]

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]

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

[@Dollface98]

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

[@megumiazie9343]

Then you are the one who is supposed to add them