Mathematics
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OpenStudy (anonymous):
Solving Polynomials help please
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OpenStudy (anonymous):
\[(3x ^{3} - 2y)^{2 }\]
OpenStudy (anonymous):
Lol I was just about to tag you. You up for more polynomials?
OpenStudy (yamyam70):
|dw:1382453654338:dw|
OpenStudy (yamyam70):
haha :)
OpenStudy (yamyam70):
I think this is the last for tonight , am going to sleep :)
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OpenStudy (anonymous):
right I understand that. :) and okay that's fine I really appreciate your help tho
OpenStudy (yamyam70):
so lets begin :) , did you get the concept ?
OpenStudy (anonymous):
that a*a=a^2? Yeah
OpenStudy (anonymous):
These questions throw me off because they can't be solved through like terms.
OpenStudy (yamyam70):
aha! :)) , same goes with polynomials, if and only if there is a parenthesis.
Actually they can be solved with FOIL : )
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OpenStudy (anonymous):
Really? Okay, well lets work it then lol.
OpenStudy (yamyam70):
so by having this idea, ( a ) ^2 = ( a ) ( a )
OpenStudy (anonymous):
So 3x3 would equal (3x)(3x)(3x)?
OpenStudy (yamyam70):
nope, its (3x) ^3 = (3x)(3x)(3x)
OpenStudy (anonymous):
Woops typo, I knew that tho lol
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OpenStudy (yamyam70):
same goes with polynomials, (3x ^3−2y)^2 = (3x ^3−2y) (3x ^3−2y)
OpenStudy (yamyam70):
|dw:1382454073579:dw|
OpenStudy (anonymous):
Oh okay you double it because it's squared. Alright, so we can say that that equals...hang on
OpenStudy (yamyam70):
*hangs on*
OpenStudy (anonymous):
lol..
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OpenStudy (anonymous):
um so would it be 9x^3+4y^2?
OpenStudy (yamyam70):
|dw:1382454293021:dw|
OpenStudy (anonymous):
so you added the 3x^3 to each other?
OpenStudy (yamyam70):
there is a y :)
OpenStudy (anonymous):
but why are they negative?
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OpenStudy (yamyam70):
|dw:1382454588481:dw|
OpenStudy (anonymous):
so where does your 12 come in?
OpenStudy (yamyam70):
|dw:1382454699012:dw|
OpenStudy (anonymous):
alright so the overall answer is 9x^6 -12x^3y +4y^2. I think I got it. Lol.
OpenStudy (yamyam70):
Aha! :)) bye now :)
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OpenStudy (anonymous):
Yeah thank you again :) have a good sleep lol
OpenStudy (yamyam70):
:)