Message from @2Lazy2BeOriginal

Discord ID: 789981311518638100


Difference of 2 squares, difference of 2 cubes, and sum of 2 cubes

And you can factor with substitution

2020-12-19 21:31:55 UTC  

I donโ€™t know how the cubes work and Iโ€™m interested to know

2020-12-19 21:33:36 UTC  

Also I never learned how to do it wth substitution, is it really just a bunch of trial and error or

2020-12-19 22:14:41 UTC  

some black pro-segregationists argued that. because, if you look at the number, somehow blacks under jim crow succeed financially and in school much better compared to black in current time.

2020-12-19 22:15:55 UTC  

cubes is just similar to square. similar process. you'll learn it in grade 12 (at least according to the ontario curriculum)

2020-12-19 22:17:28 UTC  

part of me thinks itโ€™s something like (x + 3)(x-6)(x+3)

2020-12-19 22:19:12 UTC  

well, kinda?

2020-12-19 22:19:21 UTC  

the standard way is this:

https://cdn.discordapp.com/attachments/789559270828015697/789980216251514920/sd2c-case-1.png

2020-12-19 22:19:27 UTC  

I know 54 isn't a perfect square but

2020-12-19 22:19:42 UTC  

oh so both terms are squares?

2020-12-19 22:19:43 UTC  

the other way, you'd have to do some testing with number combinations

2020-12-19 22:20:06 UTC  

when you factor them out, in one bracket

2020-12-19 22:20:40 UTC  

so when you distribute them the ab cancel but a and b get raised to 3 I assume

2020-12-19 22:21:03 UTC  

is a calculator helpful on this since my math teacher told me grade 12 is 1/4 no calculator

2020-12-19 22:22:28 UTC  

if my math isn't bad it will be a^3 - a^2b + a^2b + ab^2 - ab^2 + b^3

2020-12-19 22:22:49 UTC  

yeah. you'll learn the trick. it's also depends on the teacher. For advance functions, my teacher allow calculators, but for calculus and vectors, we don't

2020-12-19 22:23:30 UTC  

yeah. once you expand most terms cancel out except for a^3 + b^3

2020-12-19 22:23:41 UTC  

so are you doing examples where you are given a but not b

2020-12-19 22:24:23 UTC  

does it work with a^3 - b^3

2020-12-19 22:24:30 UTC  

I don't wanna write the equation again

2020-12-19 22:25:06 UTC  

you mean "a^3 + (blank)^3 = (a + *blank*) (a^2 - a*blank* + blank^2)

2020-12-19 22:25:26 UTC  

yea

2020-12-19 22:25:55 UTC  

idk but it doesn't sound too bad once I get the hang of it

2020-12-19 22:25:58 UTC  

yup. if you refer back to the original image, the red sign is opposite to the original operation.

2020-12-19 22:26:24 UTC  

it shouldn't be too hard. function & advance function are very easy.

2020-12-19 22:26:59 UTC  

I know some of my classmates are already studying on grade 12 stuff or something

2020-12-19 22:27:54 UTC  

i can't remember if we ever have a *blank* situation that i just depicted. but we would probably have an equivalent equation in different forms that us to find b and/or subtitute b with a related equation to a

2020-12-19 22:28:17 UTC  

oh yeah. my vietnamese friends came over already learning all this stuff

2020-12-19 22:28:34 UTC  

like 2 of my classmates know 100 digits of pi

2020-12-19 22:29:03 UTC  

How useful is factoring perfect cubes btw

2020-12-19 22:29:25 UTC  

I was surprised on how useful factoring is in the first place

2020-12-19 22:30:27 UTC  

most of what you learn in class isn't applicable in real life, i think ๐Ÿ˜‚ . but maybe i'm bias. i'm not in a field that requires heavy math, so i can't speak to all fields.

2020-12-20 01:06:13 UTC  

That is all.

2020-12-20 01:53:53 UTC  

*physics ptsd itches up again*

2020-12-20 20:39:16 UTC  

Yโ€™all remember to try and keep this chat for academic support. Can always move to <#707691030748594294> or <#727615870385389638> ๐Ÿ™‚

Perfect cubes as in 9x^2 - 49?