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Mathematics 23 Online
OpenStudy (anonymous):

Solving Polynomials help please

OpenStudy (anonymous):

\[(3x ^{3} - 2y)^{2 }\]

OpenStudy (anonymous):

Lol I was just about to tag you. You up for more polynomials?

OpenStudy (yamyam70):

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OpenStudy (yamyam70):

haha :)

OpenStudy (yamyam70):

I think this is the last for tonight , am going to sleep :)

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 : )

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

OpenStudy (yamyam70):

same goes with polynomials, (3x ^3−2y)^2 = (3x ^3−2y) (3x ^3−2y)

OpenStudy (yamyam70):

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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..

OpenStudy (anonymous):

um so would it be 9x^3+4y^2?

OpenStudy (yamyam70):

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OpenStudy (anonymous):

so you added the 3x^3 to each other?

OpenStudy (yamyam70):

there is a y :)

OpenStudy (anonymous):

but why are they negative?

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 :)

OpenStudy (anonymous):

Yeah thank you again :) have a good sleep lol

OpenStudy (yamyam70):

:)

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