This is a problem I made myself btw. I just wanted to make sure I understood the gist of it
#is my factorization of quadratic -> difference in squares correct?
iron cave
toxic iceBOT
minor tree
just develop the 3 factors on the right and see if you find the same thing as the 2 terms on the left
iron cave
Okok gotcha
i think im in the wrong because of the last term. I checked out a video and of a guy trying to factor out one of the 9s in a simpler problem he'd made
but only one of the 9's because he said or else it would complicate things and create too many numbers
but now this is exactly whats happening
and i wasnt able to factor out the ^3
I wonder if the solution would be to get rid of my 3 exponents and 7 coefficient on my last term
minor tree
wait x varies and y is fixed?
minor tree
you got the right answer?
minor tree
I think you can verify it with wolframalpha
iron cave
oh is that a website?
I was going to say also, x^2 extends to (x)(x) but y^3 cannot extend to (y)(y)
that's why some are factored some are not
but ill try to google it!
iron cave
OH WAIT
minor tree
?
iron cave
srry i used chatgpt cuz i didnt understand how to use the website :') it wasnt giving it to me in difference in square form
it's basically what i wrote write, if they do a ^2 on the parenthesis?
oh wait no its not
they both have squares
nvm nvm
minor tree
yes it's much easier if you use a^2-b^2=(a-b)(a+b)
iron cave
hmm yeah
minor tree
you understand why?
it's just faster
than trying to find complicated relations btw the terms
iron cave
thing is, I'm factoring the 27 twice -> 9 -> 3. What chat gbt is saying too is the same for x in the second parenthesis.
Is that alright i guess?
Cuz in my head it would be (7x^3y^2)^2 - (9x^2y^3)^2 instead
where is the "factoring out" of the 9 and x you know
(7x^3y^2)^2 - (9x^2y^3)^2 in this one we know that it has a ^2 we can just cancel, making it (7x^3y^2) - (9x^2y^3). I think?
Or wait, when factoring the 27: is it just -> 3 (factoring it once, since 3x9 is 27. idk in my head it was 9)
then what of x tho?
marsh sky
I believe you're being mislead by the chatgpt response as 3² isn't 27. This is probably because it's trying to find a factorisation where there isn't one as this is already the base form
marsh sky
It looks close but 49 is 7² and 27 3³ so it doesn't quite add up
marsh sky
Happy to help
iron cave
Yeah chatgpt just sucks for me when it comes to math. Everything makes sense apart from the x to the first power: how does it go from x^4 -> x^1
plain lantern
Yeah chatgpt just sucks for me when it comes to math. Everything makes sense apa...
dont use it 😄
plain lantern
it's good at yapping, that's all 😄
iron cave
hahahaha
marsh sky
You're right though, it should say x² after all the eights otherwise it's correct
iron cave
btw I'm looking at wolf/alpha website, an alternative form it suggests is x^4 y^4 (7 x - 8 y) (7 x + 8 y). Would this be a correct form of a square difference pattern or are we just simply factoring out a polynomial here?
damn im complicating it for myself
iron cave
You're right though, it should say x² after all the eights otherwise it's correc...
thank you!
marsh sky
No problem