MIT Entrance Exam Problem from 1869

[@omega7845]

I wish these kind of questions came in Indian entrance exams 😂😂

[@Blue_3987]

Probably did at some time, lol just like these came in mit entrance 200 years ago approx

[@plsgostudy]

No they didn't ​@@Blue_3987

[@ManuShukla-z3j]

Bro u just forgot about jee

[@thoroughfaretonothingness623]

Jee has nothing like these questions..they dump calculus​@@ManuShukla-z3j

[@ironman-os8zq]

😂❤​@@ManuShukla-z3j

[@Dazai_200]

Why is nobody in comment section understanding that this its from *1869* nearly 150 years ago

[@mythily6374]

Yea but calculus was invented almost another 150 years before that.

[@Simonk_6]

@@mythily6374calculus was arguable invented in like 600

[@Dazai_200]

​@@Jake-cc7ie yep to be exact it is 155 years

[@bhayThakur01]

Because first human brain try to put there joke on comment after that they will notice there environment.

[@czgamer7857]

Not nearly 150, it's 155

[@asheshgupta4845]

In 1869 there was no internet, good books , nor people were forced to study and course that u study this time wasnt developed like today so this was a high level question at that time and this question is at super hard level according to their standard

[@cr7savage709]

Vs now where we see this in algebra 2

[@xxcrazyxxnonesisto6138]

This put a perspective on how for example those scientists were so good

[@wakeupthewublins69]

@@cr7savage709Algebra 1 if your teacher is on a bad day

[@erronblack5015]

Are you out your mind? People were indeed forced to study and pretty advanced math was going on in late 19th century

[@samuraiplayz2819]

Bruh just cuz there isn’t internet doesn’t mean u can’t learn from books

[@manwithhinge]

People in this comment section are trying really hard to get the unlikable person award.

[@bobross7473]

I couldn’t agree more. Yeah like sure ur smart and Asian but if you think you’re better than everyone else no one will want to work with you or hire you

[@stephanedwards3083]

Education has gotten to a point where you see an easy question like this, proceed to overthink it, then realize it was actually not that hard after you struggle to approach it. School has traumatized a lot of students into doubting themselves when approaching questions and this is evidence of me being said student. Damn.

[@AnimeFusionUpdatesz]

Well I always wonder why the hell they introduced Alphabets in Maths?

[@stephanedwards3083]

@@AnimeFusionUpdatesz 🤣

[@AnimeFusionUpdatesz]

@@stephanedwards3083 I know it's for problem solving but what problem?

[@stephanedwards3083]

@@AnimeFusionUpdatesz letters are simply placeholders for unknown variables or constants that we would rather left unwritten. For example, g which represents acceleration due to gravity. 9.81 m/s^2. That’s pretty much all they’re useful for.

[@AnimeFusionUpdatesz]

@@stephanedwards3083 I don't even understand any of this I got 4 out of 15 in maths But got 14 out of 15 in English I don't understand why I can't do good in Maths

[@sohamsatapathy4151]

The average 12 year-old Indian schoolkid can solve this. Edit : 7,000 LIKES !!!!! Oh My Gaaaa I'm famoooooos !

[@ecrenkof482]

Turkish child too

[@anupkumarchowdhury5091]

Give them JEE advance problem

[@konnie_999-h6w]

Bruhh yess I'm 14 and I could do it It seemed easy I wonder if it's really MIT question paper I'm from 🇧🇩

[@bappyhasanjahid4985]

its from 1869.and its an entrance exam question not the whole question paper. and people who are saying them to solve jee questions, i wanna ask them does jee gives you a chance in getting mit.nope.with time standards changes

[@bappyhasanjahid4985]

​@@konnie_999-h6w yes it is.and don't get cocky because this is just one question not the whole paper.its from 1869 standards back then were different from now

[@andyx7013]

This is proof that each year kids are expected to learn more at a faster pace. Thank you for 5000 likes.

[@jjj-11]

Well it’s a good thing

[@dr.sunitadhiwar1443]

Yes​@@jjj-11

[@divineflu34567]

Yes even our parents generation has easier questions than us to study

[@Mari143]

​@@jjj-11 Nope , it aint

[@xxslayer255xx]

​@@Mari143 How will continued innovation come if future generations are never expected to surpass the previous?

[@whatohhellnah]

I guess I’m the only one who didn’t think this was easy

[@waxbruh5965]

Me too buds lol

[@unspecifiedunit9126]

If you learned Algebra 2, you would find this problem pretty easy. Like a textbook problem the teacher just casually hands out.

[@whatohhellnah]

@@unspecifiedunit9126 low key never did algebra 2. Did intermediate algebra in college then jumped straight into precalc/calc1

[@theLowestPointInMyLife]

same but I have an excuse, I didnt go to school

[@siripaladeemalsha9781]

Because your fucking dumb ass aneyone can solve this even my dog😂

[@thoughtsengineer]

Be careful! You also need to make a note that this simplification excludes all cases where x^3 + a^2 y = 0. Of course, in the SAT won’t matter much, but in college it will when you must give handwritten answers.

[@Fervif]

Bro the denominator can't be 0

[@TheOutZZ]

​@@FervifIt can be, but since the question asks to reduce to the lowest terms, the existence of the denominator seems to be implied for a simplification to even take place, i.e. it doesn't matter for _symbolic_ manipulation.

[@KevinSamuelsKid]

You mean where (x^3 - a^2y) = 0

[@KevinSamuelsKid]

@@FervifThat’s the point in stating that all values where the denominator = 0 must be excluded for the simplification to be valid

[@rythmx123]

If that is a MIT question, im Albert Einstein 😋

[@UltraGasLighterSupreme]

This was 1869

[@tayoongloss]

Lmao

[@BrandyScott-q6i]

😂

[@BrandyScott-q6i]

❤

[@turboduckhead6179]

Are you getting the credit for all your peers effort and get praise based on your ethnicity?

[@pritamdatta167]

these kids think by solving a qs from 1869 will make them smarter than MIT people. Ngga most modern mathematician nd physicists weren't even born at that time😭😭

[@gteixeira]

So /real/ mathematics hasn't existed since modern mathematicians have been born?

[@Africanaerial]

Ask for an n word pass. Do not ask me, My response is no.

[@hokhanh7266]

@@gteixeiraThat doesn’t make sense. So the field of math since 1869 hasn’t developed?

[@jawbreakergd1203]

@@gteixeirawhat are you on about

[@petercheng2461]

As an mit applicant from 1869, i can confirm i have no idea what’s going on (but daddy’s a millionaire)

[@simaangelinsingha2785]

Did you live for 100 years or what?

[@malhunt7]

😂😂😂😂😂😂

[@arkdotgif]

why is there always some annoying asian kids flexing in the comments of these video. well done, you can solve a maths problem for high school students from the mid 19th century, so can everyone else.

[@Allenz2205]

Ikr. It’s so dumb. In 200 years from now, the same people will be laughing at how simple our current math is lol

[@ayushbisht6756]

@@Allenz2205 the math right now is actually very advance , even in colleges we read the math they did 200 years ago

[@canadianave7361]

It's mostly because around the world the education system actually teaches you a thing or two. I'm born and raised mostly in Canada but did a few years of school in Romania, and this problem I can tell you for certain that someone in grade 5 could solve without difficulty, whereas here I'm sure most people who even graduated highschool here might struggle. It's not necessarily that they're flexing, it's more that they're laughing at how stupid NA's education is.

[@phamson7868]

Not just any Asian, it's ( most of the time) an Indian guy

[@MABX360]

@@canadianave7361 Hmmm then I wonder why NA continues to lead the world in technology and advancement

[@toreaman]

Did it in my head. Felt good about myself. Reassuring to know they haven’t admitted me for nothing. #MFin #ClassOf2017

[@unmasoquistaempedernido700]

ur kidding

[@bobross7473]

Liar

[@ronnie323]

Katt Williams - “uhhh did you know that some of them is letters”

[@epicprogamer7268]

And then you can use synthetic division to simplify further☺️

[@monkedegenerate3401]

After the multitude of repetition of this video, I've finally grasp the knowledge...

[@PierreDennis]

Me as a designer: "Sooooo...does anyone need a logo?" 😂😂😂

[@lilac624]

Factoring is important in here ..

[@dustincaldwell2354]

Once I was working as a janitor for a college and a professor wrote this problem on a board in the hall and I solved it. He wanted to take me on as his protege, but I really just wanted get drunk with my buddies and get into fights… Until I met this girl. After going through a number of therapists, I realized that the bad things that happened to me in my life weren’t my fault. I had a good cry and went after the love of my life and accepted a job as a literal genius.

[@musolengongola180]

Update on what's happening now❤🥺

[@karthickjayaraman2090]

​@@musolengongola180 That guy is saying 'Good Will Hunting' movie's story line 😂

[@techystylo]

As someone who stinks at math, just thinking about doing this problem in permanent marker is giving me a heart attack

[@unspecifiedunit9126]

It’s all about repetition and practice man. Having a strong mindset where you value the subject certainly helps too.

[@yash.icarus]

As an 18yrs old Indian boy, I can confirm that I used to do this when I was in my mother's womb.

[@EinSofQuester]

As an average indian boy, I can assure you that when my father screwed my mom, only the sperm that could solve this problem was allowed to impregnate my mom's egg

[@_daddy69_]

I agree 💯

[@Hans_Magnusson]

😂😂😂 Feature of a fetus 😂😂😂 Good work mate 👍

[@bobross7473]

As a fellow Indian, I can confirm that many of my fellow Indians are insecure douchebags

[@qxnly]

as a 12 year old, cross canceled and got it correct

[@hydropage2855]

No one gives a shit buddy

[@tonygaytan9848]

What a gift of contribution to humanity.

[@EzraSchroeder]

Watched the whole video. Find it completely unbelievable mit would have asked such an easy question even 150+ years ago.

[@haikalafandi6511]

my brain is fried and my brain ain't braining

[@monke532]

same İ got x^3/-2y somehow x^6 + a^2 x^3 y --------- x^6 - a^4 y^2 x^6 + a^2 x^3 y --------- x^6 + - a^4 y^2 x^6/x^6 = 1 1 (a^2 x^3 y) ------- 1 (- a^4 y^2) a^2 x^3 y ------ - a^4 y^2 a^2/-a^4 = 1/-2 1 (x^3 y) ------ -2 (y^2) x^3 y ---- -2y^2 (x^3 y) ---- y ----- ( -2y^2) ---- (x^3 y)/y = x^3 (-2y^2)/y = -2y x^3 -- 1 -- 2y -- 1 x^3/1 = x^3 2y/1 = 2y x^3 --- - 2y

[@ふゆみ-b4r]

u must be pretty slow 💀

[@Thegreatestman542]

An average 12 year old Indian can do this in a minute.

[@Janersssss]

@@ふゆみ-b4r don’t say that, they might be younger, or may not practice math regularly.

[@moixemi]

@@ふゆみ-b4rNOT EVERYBODY IS FUCKING ASIAN HOLY SHIT😭😭😭

[@sreerampriya3466]

I literally didn't even lift my pen

[@baselinesweb]

Whoopdee doo - good for you.

[@ugIybot]

I didn't even watch the video, I solved it through this guy verbally explaining the rational expressions

[@jjj-11]

Nor did anybody. This problem from 1869 would be a cinch for any 6th grader, regardless of where their from.

[@Joeylikecoffee]

Badass alert weeewoooo

[@shutaskillz3936]

Want a cookie🍪

[@mauricethomasjr1997]

Omg I solved this in my head while driving! Awesome

[@zua240]

Jealous of people like u

[@andycandy8596]

Same

[@bobross7473]

🧢

[@rameshshah5788]

@@bobross7473no not necessarily, I myself did it in my head instantly, it was extremely easy for me too, maybe, you’re the one who can’t do this and you are assuming just because you can’t no one can.

[@bobross7473]

@@rameshshah5788 while DRIVING? you’re fucking delusional mate. Get out of here with your self-righteousness. I don’t claim to be a math whiz but I at least have the common sense to tell when someone is lying their ass off

[@tranviethuy5224]

This is pretty doable actually, crazy how much math has developed in more than 100 years

[@mdtanvirulsakib]

A^2-b^2=(a+b).(a-b) , show it to on the screen, so people can't get confused whoever is new

[@moixemi]

THANK YOU🙏🙏🙏🙏🙏🙏🙏

[@ctsirkass]

makes sense to have such easy exams that far in the past

[@deatheater5212]

I understand nothing and i am proud of that😅😅😅😅

[@BarbaraBaumann-h1d]

😂

[@BARBERSHOPP]

bro really did 3 extra steps just to make it more confusing

[@onddu2254]

You're tripping if you think those steps made it more confusing.

[@ShivenStudy]

@@onddu2254he wrote it really close making it confusing. Need more distance between steps

[@AdityaSingh-ox7ni]

bhai 1869 ki problem hai wo 😭, at that time there were less people who could crack the paper. with internet now sab padh sakte hai, that time sabko khud se padhna hota tha

[@nabihakhan6689]

​@Vedant Srivastava iit baad ma establish hoa hai 😆

[@s1nefx]

Fr lol💀😭. People really be saying MIT is easy and sht💀. Would love to see them get into MIT

[@johndough7994]

the only actually smart indian in this comments section

[@panch2oo2]

Give this to an indian, or any of the above so mentioned twelve year old problem nations back in 1869 I wonder how many of those nations could even read or write rather solve this problem

[@matthewkelley2084]

This is actually something to expose young kids to!!! Make it fun not scary!

[@РайанКупер-э4о]

You've left unaccounted the case when (x^3 + a^2 y) = 0

[@hydropage2855]

These comment sections are always so incredibly toxic. You are all extremely insecure

[@ConstantDerivative]

this is a really easy question though, no clue how it is an MIT entrance exam

[@soralee1910]

​@@ConstantDerivative It's 1869 where education isn't common

[@ConstantDerivative]

@@soralee1910 thats fair

[@gteixeira]

What is so bad about it? People seem to be mostly pointing out that in developing countries people learn this at middle school level.

[@gteixeira]

@@soralee1910 In Massachusetts people could afford going to school or using a public library even in 1869. And if you were applying to MIT, your family could afford the tuition fees, so they were probably very rich.

[@XPR-hx2wf]

Tells you a lot about how the average intelligence of people has increased over the years. Great video.

[@namedrop721]

That’s not true at all. Intelligence has remained relatively stable. There are more people with access to information, that part has changed.

[@sojozela]

It's straight forward, yet it can be simplified even further.

[@ParanoidFred]

Explain it

[@buildaboatyeet6401]

No, no it can't.

[@jip521]

no you can’t simplify it further since it is addition. only if it was multiplication would it work

[@memeguy6874]

Mathematics then : 🗿 Mathematics now : 💀

[@unknown79884]

Why not this question in JEE Advanced 😂

[@RishantKarn-ws3ce]

First go learn some English

[@ElonMasks]

​@@RishantKarn-ws3ceEnglish and critical thinking skills.

[@kevinkamli609]

1869

[@qwertyuiop2161]

use your brain for once.

[@jjj-11]

Because it’s almost 2024 and not 1869

[@flavanone9884]

Why yall tryna flex in here. Congrats. You solved an algebra problem. Do something elsr

[@dannyleo4791]

Damn I would have gotten into MIT easily back in 1869 🤣

[@nuclearwarhead9845]

You didn't have the same access to resources back then

[@qwertyuiop2161]

yes you would have because acceptance rate was much higher.

[@gteixeira]

Make sure you bring some money with you when you get in the time machine because tuition fees would be probably $700 for the whole program with board included.

[@gteixeira]

​​@@nuclearwarhead9845It was Massachusetts. There were public libraries at any town even back then. It is not like this was in 1649, when people were still sharing a turkey with the natives.

[@nuclearwarhead9845]

@@gteixeira Last I checked the Internet didn't exist in 1869

[@Bishesh007]

As an average 15 year old asian. I can assure that we solve this types of questions every day.

[@Dhigonkurtz]

I have forgotten more math than most people could imagine. I couldn’t do this problem today.

[@joe4604]

We can simply it to x^3/(1-a^2y) . Right ?????

[@akashthakur8043]

Right

[@ayeshaali9687]

I don’t understand anything but it’s just good to see it ..........

[@kate6401]

If you are younger than 12 it will be difficult for you to solve..for ones who are above 12 years of age this problem shall not be difficult according to me

[@thewolverine7516]

@@kate6401 yeah , it's very simple

[@kate6401]

@@thewolverine7516 not for one's below 12...in my school we do this

[@thewolverine7516]

@@kate6401 hmm

[@churripro8226]

@@thewolverine7516 yeah… now…. This problem is from 1869, I think most people didn’t even know what algebra was back then.

[@kilroy987]

Of course you need to notice that factoring x^3 and rewriting a^4y^2 as a square will actually help you.

[@pauBCN67]

If you substitute a2y => k and X3 => z then the solution seams more evident => z(z + k) / (z+k)(z-k)

[@EzraSchroeder]

Man, this must have been the easiest question on the test, I paused the video, solved it in my head, now commenting, gonna watch the rest in a sec

[@Platapi3]

Why are so many people trying to flex, the question is from 150 years ago and its a basic algebra question, it doesnt mean you can get into mit now or your some genius for solving it.

[@MoMo-rx4zr]

Inferiority complex and lack of reading comprehension skills/critical thinking skills. In Asia, our schools focus on stem and little on critical thinking. Forget analytical essays lol. It’s why people are so quick to believe propaganda

[@Nub_Fish]

Good job, you solved a problem in 1800’s where most people stopped school at the 8th grade :D

[@oliver_958]

Good job being salty for no reason

[@lebarondevalois605]

@@oliver_958good job for not understanding that this is critical for calling this a hard question when an 11 y old could solve it

[@1Rab]

Reminder that this is at a time when people still went to college to learn classical history and languages. And you could pay for your tuition by keeping fires lit and sweeping. And there were no calculators or internet to find practice questions.

[@talking_folk]

In our times, we used to learn eastern maths up to 5th grade and start algebra in 6th grade. I remember doing this type of algebra in 7th grade. University entrance exam questions usually are not equally complex. 10 % of the questions are silly while another 10% is very hard. Rest of the 80% are distributed within the range. Only a whole question paper can give a clear idea how difficult was the MIT admission at that tine.

[@aanifshabir1554]

Try jee advanced questions

[@s1nefx]

This was 1869 bruh💀💀

[@gamingwithlegends7006]

​@@s1nefx🌚

[@ironmatic1]

Indians crying in these comments

[@muhtasimfuad1945]

why would he do that? you go to mit if iit is too hard for you lmao , with this much iq you are getting into neither .

[@adarshchoudhary3785]

I didn't even need a pen.20 sec is enough for it.

[@unitedstatesofindia1460]

In india , entrance test of IITs can not put these ques Emphasis on "can not"

[@saylor0955]

That’s definitely the hard way lol

[@Aefax]

yeah wtf if i tried to do it the way he did it i would get it wrong. no idea why he made it 1000x harder on himself

[@prestonak]

@@AefaxThey just factored it then simplified. It is important to factor the numerator and denominator to eliminate like terms and that’s what they did. I didn’t recognize the difference of squares though 😬

[@AnimeArtist44]

INDIANS in Exams🗿🗿. Indians Practical Knowledge🤡🤡🤡

[@bobross7473]

Couldn’t agree more. Also Indians (some of them, not all) seem to have no ability to READ THE FUCKING ROOM

[@Sharadshisodia__]

If it was objective question,I would like to prefer Value putting ,like x = 1 ,y = 2 ,a = 3 ,and check the answer

[@thivaagaranrajendran7996]

Solving this back then in 1869 would land you in trouble.You will called a witch.

[@gooeysundew]

Can’t you just cross out numerator vs denominator from the start?

[@OPP77789]

Even though its been 4 years I haven’t studied Maths and did my undergrad in Arts I find it extremely easy 🥲

[@Sarathi_Selvam.D]

Basic questions but sometimes it sucks

[@Sklyricalsongsofficial123]

My brother sloved the problem and like othar maths problem.😊😊😊😊😊❤❤❤❤❤🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉

[@mayanksequation5232]

I was teaching this to a Std 9th student last week. She is 13 years old. 🥴

[@user-df2uu3qp3y]

*a fetus asian can solve this.*

[@kunalfire1084]

MIT ENTRANCE 🤡 JEE MAIN ☠️ JEE ADVANCED👽

[@Keiekehdhdh3737]

Mit in 1869 🗿🗿 Jee In 1869 does not exist..🤡 Mit now 🗿🥶🎇 Jee now 🗿🗿

[@dundundun2383]

You know getting into MIT is crazy hard now lol shows that you are the real clown

[@Cherrii10]

Yet u prob failed all

[@PCully03]

Is everyone gonna ignore that the square root of a^4y^2 isn't a^2y

[@jampacc]

It's literally a different language to me . Amazing.

[@whysomistakes7239]

This question is a kind of question that i would not consider a question cause it don't have any content to be classified as a question.

[@chris-hu7tm]

Just remember that you can use different methods to arrive at the same thing, some ppl learn this in different ways. So you might not understand what's going since ur not used to his methods

[@yuktisoni5968]

Jee advanced question laughing in the corner 💀

[@MAOZEDONGTherealcommunist]

Your country wasn't even born in 1869

[@yuktisoni5968]

@@MAOZEDONGTherealcommunist god how dumb you are!😂😂

[@gw_pavitra2331]

@@MAOZEDONGTherealcommunistit was since before your country was found kiddo so shut yo fkn mouth up🤡🖕🖕

[@blAck_Knight1-o4s]

This question is so hard not even Microsoft maths can solve it .😂😂😂. Honestly, I tried the app and it says can't solve problem.

[@SauronOfMiddleEarth]

I only clicked on this because i’m a time traveler studying for this exact exam

[@Lyric_Metamorphosi]

Oh Broo.. check the JEE Advance maths questions💀

[@qwjk1]

this is from 1869 no shit this is gonna be easy

[@loledit4456]

Obviously it's those cocky Indian teens flexing their maths skills when most of them are gonna end up unemployed

[@muhtasimfuad1945]

JEE Advance guy who studies 18 hr a day , bhai tune mauj kardi , ja aab MIT, bethe h tere liye wait kr rhe hein .

[@Innocent_69_777]

This question could be on the first page thus the easiest (like a 2 marker). It is easy but don’t underestimate MIT exams.

[@norafiana7844]

this shows how big the gap of education standard between back then and nowadays...

[@Korbanazuyo]

At first it seemed hard but I immediately understood like 5 seconds later 😅 this is really basic maths

[@ruturajshiralkar5566]

This brings back memories

[@GeneralDante108]

Thas one line of the solution to a 3 page indian entrance exam question :)

[@GreanLeafSubwaySurfers]

12th class:This is easy. 5th class:Oh I am dieing **dies out**

[@drdeepikapathania4063]

As a 11th grader I wish these questions came in our exams 😢

[@luanxav]

Just bring all the numbers from the denominator up, making them negative and then combine with the others. The variables with a positive exponent stays on the numerator and the variables with negative go down to denominator.

[@devvv.77z]

Assume Value Of X = 1 In Question And Also in the other options , The One Who gets matched with Question Will be the correct Option. This method Can be used if you don't know How to factories 😂😊

[@sifat.a.j]

Ah, the good old days! 😌

[@pauselab5569]

for people who do not like factoring, you could compute the gcd of the 2 polynomials using extended euclid algorithm and get the same answer. that's also how a computer would do it (or something similar). also note that it is essential to add that x^3+a^2y is not 0. division or multiplication by a variable is in general not a bijective statement. a*c=a*b not the same thing as b=c b/a=c/a not the same thing as b=c because a can be 0.

[@Blossom-puppeter]

😢 i wish it was like that now

[@Irakli_SKG]

To simplify the given expression to its lowest terms, let's start by factoring the numerator and the denominator where possible. The given expression is: \[ \frac{x^6 + a^2 x^3 y}{x^6 - a^4 y^2} \] ### Step 1: Factor the numerator The numerator \(x^6 + a^2 x^3 y\) can be factored by taking \(x^3\) common: \[ x^6 + a^2 x^3 y = x^3 (x^3 + a^2 y) \] ### Step 2: Factor the denominator The denominator \(x^6 - a^4 y^2\) is a difference of squares: \[ x^6 - a^4 y^2 = (x^3)^2 - (a^2 y)^2 = (x^3 - a^2 y)(x^3 + a^2 y) \] ### Step 3: Rewrite the expression with factored forms \[ \frac{x^3 (x^3 + a^2 y)}{(x^3 - a^2 y)(x^3 + a^2 y)} \] ### Step 4: Cancel the common factors The term \(x^3 + a^2 y\) appears in both the numerator and the denominator, so we can cancel it out: \[ \frac{x^3 (x^3 + a^2 y)}{(x^3 - a^2 y)(x^3 + a^2 y)} = \frac{x^3}{x^3 - a^2 y} \] Therefore, the simplified expression is: \[ \frac{x^3}{x^3 - a^2 y} \] This is the expression in its lowest terms.

[@purukrishnamurthy2960]

1/(1+a^2y/x^3)

[@AdityaPandey-v1g]

I'm a JEE aspirant I can assure you we study this in high school

[@kshitijguptrishi1406]

Ans x^3/(x^3-a^2y)

[@VIRENSINGH2004]

education is like -x^2 graph each year students will be expected to learn more and more and till the point where it caps and its only downhill from there as we ai progresses and we figure out ways to just download data in our brain or have out brain fitted ai chips that solves problems off cloud, and we can access the answers of it with

[@repeatbot]

What is never told is that the majority of math we know today was discovered in last 300 years and that the last 100 years have created more disciplines than ever in history! Meanwhile, the counting was invented in 7000-8000 BC!

[@rockanshdew71]

Breh literally so easy but I thought u gonna simplify even further that's why I watched entire😂

[@r22gamer54]

for the people saying its easy, i mean its easy if you know what to do. and yeah this is 1869 college was easier to get in back then

[@BarbaraBaumann-h1d]

Just simplify mit den Rechenregeln

[@bapimondal3763]

(x^3 + a^2y) / (x^3 - a^4y/x^3)

[@Bellarus.timiki]

Learned this in seventh grade. Pretty simple.