264
Simplify (sh.itjust.works)
submitted 1 day ago by sjmarf@sh.itjust.works to c/mathmemes
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[-] the_tab_key@lemmy.world 20 points 8 hours ago

Even if the x-x term didn't exist, the equation is already simplified (fully factored) so there is nothing to do anyway.

[-] LostXOR@fedia.io 25 points 17 hours ago

Fun fact, omitting the (x-x) zero term and expanding the entire polynomial, you'd get something with 2^25 = 33,554,432 terms. May be slightly excessive!

Couldn't you combine a lot of like terms as you went along, though? A polynomial of the order x^26^ would only have 27 terms.

[-] LostXOR@fedia.io 1 points 1 hour ago

No, because each coefficient is its own variable; they're not constants.

[-] greybeard@lemmy.one 137 points 1 day ago

For those of you who were confused even after reading the comments: (a)(b) basically means a*b. My mind just didn't connect that to the fact that (x-x)=0. in the (a-x)(b-x) stuff is also (x-x) which = 0, and anything * 0 = 0, so no matter the value of literally everything else in the equation, it all equals out to 0 because every single () will get multiplied by (x-x), which is 0. There, hopefully that will clear it up for anyone remaining lost. And like all good jokes, they are always best when you have to explain them.

[-] MonkderVierte@lemmy.ml 6 points 9 hours ago

(a)(b) basically means a*b

Ok, wtf. Why write it like this then?

[-] greybeard@lemmy.one 5 points 6 hours ago

To expand on what superkret said, in math there is the concept of "order of operations". That is to say, every function in math (add, multiply, divide) has to be done in a specific order. Since multiplication comes before addition and subtraction, if you have a formula like a-xb-x, you will do xb first, then a minus the result of x*b, which would give a very different result than if you did a-x and multiplied that by b-x. This is where the parenthesis come in. You are basically saying, resolve every section in parenthesis first using the proper order, then resolve the rest.

My original example (a)(b) was over simplified, because there is no conflict there. You can also do things like (ax)-(bx). If there is no operator though, it is assumed multiplication, and I'm unsure why that is.

[-] superkret@feddit.org 14 points 9 hours ago

To make sure what's inside the brackets is resolved internally before they're multiplied with each other.

 (a)  (b)   =   a * b  
(a+1)(b+1) =/= a+1*b+1
[-] Saganaki@lemmy.one 79 points 1 day ago

For those that struggled like me…

Going from a-z, write out the last three multiplicands.

[-] dditty@lemm.ee 47 points 1 day ago
[-] disguy_ovahea@lemmy.world 35 points 1 day ago

This was impossible to answer prior to 3 BC.

[-] anzo@programming.dev 14 points 1 day ago

Unless you were Mayan. They had a concept of zero, or so I heard. But they lacked the letters, a-z and the parentheses :p

[-] magic_lobster_party@fedia.io 29 points 1 day ago

0 wasn’t invented yet.

Mesopotamians invented it because year 0 was approaching, so there was a dire need to represent such number.

[-] TempermentalAnomaly@lemmy.world 1 points 5 hours ago* (last edited 5 hours ago)

0 BCE kind of sucked. Thankfully, they figured it out and 0 CE was awesome.

[-] scapegarced@sopuli.xyz 2 points 10 hours ago

TIL they had ghost concerts back then

[-] disguy_ovahea@lemmy.world 6 points 1 day ago

That’s when the number 0 was introduced in India.

Ah, I forgot zero was so recent.

[-] atro_city@fedia.io 13 points 1 day ago
[-] magic_lobster_party@fedia.io 60 points 1 day ago

0

There’s an (x - x) in there

[-] copd@lemmy.world 8 points 15 hours ago* (last edited 15 hours ago)

Technically there is a (x - 𝑥) in there. U+1D465 != x so this post is a little meh

[-] MBM@lemmings.world 6 points 10 hours ago

Mathematicians do weird stuff to get more letters, but I've never seen anyone use x and 𝑥 for different things

[-] joshthewaster@lemmy.world 2 points 8 hours ago

They also wouldn't want to be ambiguous. If I was trying to write this problem the a, b, c... would get replaced by something like a_1, a_2,..., a_26 to be clearer. This problem works as a fun gotcha but isn't something that would come up in the real world.

[-] atro_city@fedia.io 7 points 1 day ago
[-] sag@lemm.ee 5 points 1 day ago

Now I want pie.

this post was submitted on 23 Nov 2024
264 points (100.0% liked)

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