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Mathematics 14 Online
OpenStudy (anonymous):

???

OpenStudy (anonymous):

OpenStudy (anonymous):

pay no attention to the denominator multiply out and combine like terms in the numerator

OpenStudy (anonymous):

\[3x\times 2x-(x^2+4)\times 3\]is what you need to work with

OpenStudy (anonymous):

let me know what you get, it should not be too bad to work out

OpenStudy (anonymous):

do i distribute the 3?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

and don't forget that big fat minus sign in front

OpenStudy (anonymous):

6c-3x^2+12

OpenStudy (anonymous):

oh

OpenStudy (anonymous):

yeah you forgot it already

OpenStudy (anonymous):

also i assume that mysterious \(6c\) was \(6x^2\)

OpenStudy (anonymous):

6x-3x^2-12

OpenStudy (anonymous):

careful \[2x\times 3x=6x^2\] not \(6x\)

OpenStudy (anonymous):

3x^2-12

OpenStudy (anonymous):

that is the right one

OpenStudy (anonymous):

you can factor out a 3 if you like, and write \(3(x^2-4)\) or even \(3(x+2)(x-2)\) but that is just showing off. i would leave it as \(3x^2-12\)

OpenStudy (anonymous):

factor?

OpenStudy (anonymous):

oh there you go haha

OpenStudy (anonymous):

oh it does say "factored form" doesn't it

OpenStudy (anonymous):

what about the bottom? can i factor that?

OpenStudy (anonymous):

was it clear how to factor?

OpenStudy (anonymous):

it does say to factor

OpenStudy (anonymous):

no, the denominator is already in factored form it is \((x^2+4)^2\)

OpenStudy (anonymous):

that means \((x^2+4)(x^2+4)\) so it is already factored. leave it alone

OpenStudy (anonymous):

alright so?

OpenStudy (anonymous):

3(x+2)(x-2) for the top

OpenStudy (anonymous):

yes i got it right

OpenStudy (anonymous):

good

OpenStudy (anonymous):

can you help me out with another one?

OpenStudy (anonymous):

sure post in a new question and i will answer

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