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

This algebra video tutorial explains how to factor binomials with exponents by taking out the gcf - greatest common factor, using the difference of squares method, or sum of cubes and difference of cubes formula.
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/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

[@brandonzarate2736]

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]

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...

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*I realize this guy is better than my teacher*

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I realized this a long ago!

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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

[@ehhe6406]

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

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

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Khan Academy: 😶

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

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How did it go?

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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.

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Just focus and these teachers would be helpful

[@DustlyFog]

@@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]

@@DustlyFog Asking questions really helps with that

[@alina-bm2uj]

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

[@FractalFreedom]

This is yet another reason why the education system is so flawed, this random guy on KZbin 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

[@ciaoitalo]

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

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[@alexanderthompson5713]

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

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

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

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

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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.

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Stonesword I would too I kept having to pause

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

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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. : )

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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.

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[@StenTarvo]

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

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

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

[@vincemichaeldanza2377]

This video help me in all my schoolworks.

[@radge8321]

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)?

[@holthead619]

Thank you so much for this video, helped alot.

[@oreoislife2447]

Thanks m8 really helped me on my test during online class

[@adventureswithizaiah9218]

Thx brah this really explains better than my teacher does

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

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This man is better than my teacher

[@kev-othegamer]

Thank you.

[@Kyo___]

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

[@iam2busy465]

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]

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

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What??!

[@reinniel2092]

Ur explaination Dont make sense fham

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Beyonce Mac u r my savior i finally understand :0000

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Crazy how teachers make things like this seem so complicated.

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why put video thumbnail in the end? how can I see it

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I beg you to keep doing these

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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

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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.

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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

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Thanks man, got a test tomorrow

[@bruce.leblanc]

Guy is better at explaining than my teacher

[@roxyqueen5076]

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..

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Bro you're the goat 👑

[@trentcard]

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

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thanks so much it really helped me

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

[@kingzfan2000]

so what if the last term isnt a perfect square or perfect cube

[@helloitsme7553]

kingzfan2000 let's say you'd have 12x^2-27y^2, they're both not perfect squares, but you just factor out 3 first, 3(4x^2-9y^2) and then factories the thing in brackets

[@zaneleyva8477]

@@helloitsme7553 what if that 27 was just 1

[@helloitsme7553]

@@zaneleyva8477 with the right definitions you can make that true

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kingzfan2000 then your teacher sucks for doing that

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

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Robbie Garnz Yes

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

[@One-2-Save]

U literally the goat m8

[@jayzsvrome5034]

What if the binomial doesn't have a common factor and has a plus sign? For example (x^2 + 36)

[@PianowithSasinduGoyum]

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

[@PianowithSasinduGoyum]

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

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THANK YOU SO MUCH

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TheOrganicChemistryTutor will be the name of my first born child and when they ask why I’ll simply answer “that’s the name of the man who saved my life”

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He made it so simple