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Hey :)
\[\large\rm 3(5-x)^4+2(5-x)^3-(5-x)^2\]

why did you keep (5-x)^2 at the end? why not just write it out another time?

is that a GCF?

okaayyyy i got it, now would the -? at the end be -1?

okay so now what? can it be simplified further?

so what will it look like after that is done?

ok ill try it and compare my answer with yours!:)

ok im ready!

\[\large\rm =(5-x)^2\left[75-30x+3x^2+10-2x-1\right]\]So I guess we get something like this, ya?

After that, we need to combine like-terms.

i got that also!

yay!
now try to combine like-terms :D

I got (5-x)^2[84-32x+3x^2]

no I don't... can you show me what that would look like?

yes, now how did you know to stop breaking it down at 6?

WAIT

But yes, let's break the 6 up, just in case it's necessary.\[\large\rm =2\cdot2\cdot3\cdot3\cdot7\]

is it (3x-28)(x-3) ?

Sec, checking :)

Hmmm no :d

why not? where did i go wrong?

wow a simple subraction mistake lol my b!

i got ahead of myself...

hehe

Let's try some combinations.
How bout \(\large\rm 2\cdot2\cdot3\) and \(\large\rm 3\cdot7\)

Maybe this combination instead?
\(\large\rm 2\cdot3\cdot3\) and \(\large\rm 2\cdot7\)

Woops! :)
Hold on, let's look at my last combination a sec.
I think it works.

no lol just trial and erro method:P

but now what would it look like if i wrote it out completely?

thank you! thats this is the explanation i was hoping for!

serving# no purpose

aye!!!! thank you so much!

typo :p

np :3