This video teaches fundamental algebraic identities for three variables, including (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca, a³ + b³ + c³ - 3abc = (a + b + c)(a² + b² + c² - ab - bc - ca), and a³ - b³ = (a - b)(a² + ab + b²), demonstrating how to expand, factor, and solve algebraic expressions using these identities.
Deep Dive
Prerequisite Knowledge
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Where to go next
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Deep Dive
ALGEBRA (CLASS - 6)Added:
>> Hi ma'am. Hi ma'am. Good morning. Uh good good evening. Good evening.
Morning there tall lady.
Sign in.
So so so so I don't know.
Say what's been made me on YouTube?
>> [snorts] >> Oh.
Hello, son, son, son, son, son.
Say what's been made me on YouTube. Good evening, good evening, good evening.
Hello, come out.
Go to the team window.
Hello, son, son, son, son, son.
Hello, come out.
What's your horse your horse?
Good evening, good evening, good evening, good Hello, come out.
Really like it. Okay, I assume you had it.
Identity base question class number identity Hello.
Identity base question in the treasure.
>> [snorts] >> Come on.
A power 4 B power 4 A square B square A square plus B square A B yeah.
A square plus B square minus A B yeah.
She said to put it She love for my diary.
Zero to hero base and the tower is up.
0 C 0 2 0 B Everest 11 the cos 13 I explanation Sir ball the smart board ball is my brother live tower that YouTube the live tower that yeah YouTube the 1 some live smart TV YouTube the DC at the recommend the 33 the recommend since the law June July C 0 2000 9 21 CD key >> if X is square with 3 get out of here.
In X is square with 3 get out of here.
>> [clears throat] >> A square and X with 1.
A square and X Get out of here. X is square.
And B in 1 over And B in 1 over Combine high secondary level exam.
B in 1 over here. Get out of here. Get out of here. X is square plus B 1 over here. Get out of here. X >> [snorts] [clears throat] [snorts] >> A square and X with 1 is plus X 4 4 over 4 over 4 B in 1 over here.
A and X with 1 A and X with 1 over here and B in 1 over here. Get out of here. Get out of here.
Get out of here.
Combine high secondary >> x ^ 4 1 plus plus 1 minus s if s not a plus b letter by b z twice b minor whatever n if s going to say n then s plus twice a s minus twice plus s minus twice b s minus twice b uh a medical when I hang in buggy cost they say I eat some a plus b plus c is equal to a squared plus Then find the value of this guy.
I think it's 56 a squared b squared twice as high though.
90 when 56 90 keyword I was in This >> [snorts] >> I'm going to change it This thing with the 4,000 4,000 256 See 42 What that I got the a squared plus b squared plus twice a b b c plus c a 256 that I will call.
So I'm going to not 256 It's going to be See equation that I have to call.
Okay, 83 Okay, okay.
I don't basic for 90 I'm not sure.
This is the new method of learning.
This is the new method of learning again.
See the new routine 9 that 9 means zero.
I don't know what this new routine cannot turn into 13. This new routine But the new routine 4 This new routine is it.
2000 this new routine 2000 option 3000.
So this new routine 2000 again.
What do you have against her? She is 60 kg or 40 kg 60 kg or 2000 60 kg or 3000 and another way to do the math you need this new method of learning or this new routine method of learning.
Line in the city car.
City X + 40 kg or something is equal to car.
I don't know what 60 kg or something 23 squared again 60 kg or car. 529 000 529 again 5 27 8000 -1 -1 means this new routine 8000 again.
This new routine 8000 again.
8000 again or this new routine 4000 again and so on.
She got a money.
What do you do with money again?
She 23 squared 529 again. She take 179 kg or 2000 again or 60 kg or something again.
What do you see in the tower winning the 616 squared again 90 kg again or 2000 and another way to do the math you need this or that.
Here 5239 179 kg or 2000 again.
This new routine method of learning again city this new routine method of learning. 7000 this new routine method of learning.
Yeah 7000 - 8000 -1 -1 have to get a money.
This is called plus y squared plus z squared.
Plus twice Plus z squared below this 179 then I say CD I think Yeah.
44 44 one 44 headed 98 headed This thing 1,000 over.
See that money.
This thing 1,000 equals it.
cartoon When it says squaring what do you get out of it? A squared plus B squared plus C squared plus twice AB BC plus CA equal to 225 that I need.
She's a couple of hundred and 30. CDA C value 22 not 22 or 22 together. 44 as well as 20 225 minus 44 See this thing with 9 8 9 minus 8 together this thing with 1,000 1,000 zero.
678 4,000 money matter of 6,000 this thing 1,000 this thing a throw.
Well, this thing with the total civil court.
380 that I am in here in the middle of the car.
420 scanner we are not.
Hello.
>> Oh, hello sir.
>> 35 56 number 9 into middle number middle number had to be a direct middle number means middle number had to be direct into plus one plus one total supply natural I tell you 9 into into one is 41 would be ended by the digit 4 very good I can a q c q minus c >> [snorts] >> c formula A + B + C A - B whole square + B - C whole square + C - A whole square I think by the formula A + B + C like that A square + B square + C square - AB - BC - CA I don't know.
ABC to get away the key A and A B and A and a C AP without arithmetic progression whatever arithmetic progression uh two the two color four three next time D A + D C formula Okay, that 9 into my ID number my my ID number to see A + I don't know what the number into D square 9 and my ID number and A plus common difference ID AP without the common difference Sir, under key GD set is cool.
a squared plus b squared plus c squared minus ab minus bc 3 into 3 into d squared over a plus a plus twice a plus twice the a plus d to you, okay?
twice c and you go c matrix will only twice d squared out to you, see?
c matrix 3 a plus d to you, see?
Other than c putting that 3 out of a plus d out to you, see? You got c 3 into d squared putting that c 9 9 3 and you go 9 9 a plus d into d squared I'll see formula c going to get a line c going to go c line you go >> How do we do it now?
A B C one or two Peter Carey Next slide equation.
Mhm.
last digit 9 into middle number >> [snorts] >> 9 into Sinatra one one one one 9 into 9 This is the answer.
Also number A is the right answer. Very good, ma'am. Thank you.
CD >> Mhm.
Common difference.
Common difference is going to throw.
Common difference can I say?
Okay, next.
A plus B plus C minus 22 minus 22 marks >> [snorts] >> 13 ones are 13 61 13 fours are 52 91 13 13 13 32 13 26 65 a cube plus b cube c cube a plus b plus c a square plus b square plus c square plus twice a b c c 22 169 minus 44 minus k >> [sighs] >> What do you mean do you want to learn English because you can make a a square plus b square twice a b c formula a plus b plus c whole into a square plus b square plus c square minus a b minus b c minus c a b b c 13 other c d c b 169 minus >> 44 in the CV with 169 169 degree 13 11 You need this method to get my name.
I need the car.
If city got that Square degree 25 25 degree 25 degree time in the ghetto.
11 degree I thought the wedding attire 5 into 11 minus 7 learning 454 that is learning.
Same question.
Same question they go.
Elissa Okay, very good. AKA ready.
CD If A plus B plus C C A cube plus B equals to 198 The final below this you put to worry.
I did it. She's squaring to already get that. 60 squaring to already squaring to already get that. I say >> [snorts] >> 60 already A square plus B square C square Z plus twice I did it. She blew 90 at the court to my learning.
A plus 14 A square plus B square plus C square minus I can see put on crazy minus sign.
minus a b minus b c c a 256 196 something like that.
a squared plus b squared plus c squared plus twice out of a b b c plus c a 196 something like that.
minus s plus twice y equal to 196 something like that.
twice y equal to y equal to under root 63 something like that.
something like that.
Lord have mercy on me.
Lord have mercy on me.
I think I was just listening to my local I have a map. copy though.
And I'm down I did this one by myself.
Next to see L M N plus M cube plus N cube times L M N L M N A plus B plus C equal to A cube plus B cube plus C cube times A B C L M N Very easy.
CD X equal to 4 A B A plus B A plus B twice A into twice B into A plus B twice B by A plus B over or twice twice A over twice A over twice B over >> Should I come put in the energy within the budget?
Company in individual X plus twice a month or 39.
Some say that the company to the individual twice B.
Plus A plus B.
Twice B A minus B A minus B small on.
Okay, get that result.
I'm trying.
B plus A because of the donor.
B minus A money.
She's a company to individual together.
X plus twice B.
X minus twice B.
So, I'm going to get that result.
Twice.
Twice A.
Go.
Three times A.
Plus B.
Go.
I think my calendar number twice A minus A.
Go minus A. B minus A that I'm going to see.
What is my last minute twice A minus?
Uh, see that.
B minus A.
Minus A minus B love to be never.
I love the A minus B A minus B tower.
I think A minus B tower.
Okay, no.
I don't want to see anything she needs some dough I'm going to throw. She needs some dough she needs some dough that I might be able to see you.
I don't want to see anything she needs some dough that I might be able. She needs some dough that I might be able to see you. She needs some dough that I might be able to see you.
Plus A B minus A.
I'm going to twice A plus.
B.
I love A minus B. I put in LCM going to throw the.
She needs a phenomenal minus common love the.
Minus common love the my cousin B minus A what I got squared equal B minus A one over one the minus common love the result.
I love the. My cousin tell me love my cousin get that result.
twice B plus A minus twice A minus B twice B minus twice A Don't use Google's image translator pass option give give us pro.
Go.
>> [snorts] >> PB Abraham man.
He said he needs speed a local.
I get massage speed to the toga massage in the genuine that I get real speed genuine speed and I delete that.
I don't think you are making it on a car.
I mean you can city A cube plus B cube C cube twice 405 A plus B five find the value of C square plus A minus B whole square.
10 Okay.
15 into 15 to the 30 15 sevens 54 times real mind calculation mind calculation going to easy Uh though I don't see number me though a base uh a base experience uncle Some of the tarapana taratuta I mean surely I see the highest score.
Uh lighting See uncle mental calculation mental calculation that I got I think the third eye strong stronger when I wake up.
I don't want to fight. See you mentally holding equal We lack of the image that brain two 37290 or in CKC See they have mentally gone.
A plus B plus C I see below the gather see below the 405 I see below the A plus B plus C I don't know.
A square plus B square plus C square minus AB minus BC minus CA left to do you receive See below the second money. How I got I did it to my mother see Sigma from the throat.
plus C minus A whole square from the A plus B plus C 19 A square plus B square C square is not C.
Find the value of this.
What are the guitar?
Mhm.
D >> [snorts] >> Squaring to squaring to order 155 money twice AB BC plus CA C That is 1280.
21 law I don't think it's 261.
261 over She below say put together that 261 5 mana What do you think about it? She says 135 mana. Total I thought they I want to know the zero.
206 that I money go.
I 206103 and she belongs to you.
I thought they were in love with you again.
Uh a square plus b square 155 to the key 103 tower.
Um go go go.
Um taco burrito tuna burrito.
I want to know any phone number with that in it. 104 Um 52 2 za And any money and any money she told me.
It's my daddy monkey sequel.
I don't know what she said, ma'am. It's PT. When I told her I should go to the toilet and then I clean it up.
I don't know what she had told me. I don't know if I see below the sky at the corner.
I mean twice a square twice b square, twice c square, twice a b twice sorry, minus 100 She mom said to put yellow room in the closet.
minus twice 200 and 200 400 200 something like that. She loves to see put a 200. 200 a square plus b square plus c square minus a b minus b c minus c l a widow c l a equals minus She put 100. She said a plus b c square divided by 100. And this is the one 200 155 minus a c square minus 100 She said she need to put a 200.
I don't know what to get this c square and all that c square 200 a square plus b square plus c square equal to [snorts] 361 oh sorry 200 plus twice a b plus b c plus c a equal to 361 19 is 40 what She belongs to you and all that.
155 and all that c c square 155 total 206 103 103 155 103 total 104 How do I come answer?
What time you already?
Ma'am See last Hello Alyssa.
a cube minus b cube equal to 16 and a minus b equal to 6 then c put together the a square plus b square plus twice a minus a b What are the a minus b c coordinate? I will see below c is equal to I see 6 into 36 times a cube minus b cube have never c 216 a cube c a minus b whole into a square plus b square plus a b equal to 167 year What are the c below the cannot c d cannot a minus b c d cannot a square plus b square whole square minus a b cannot address here 16 c my name is c my name is c a minus b the cannot say 60 c the logical to get out of the logical to get out of the 216 year with the banana 36 to 19 as well c investment of money already >> [laughter] >> I don't want to see the shower you call I got to do the I think I can do the line and equal continue c teachers favorite I should do what do you do me now?
young girl I >> [snorts] >> Huh?
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