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Mathematics 16 Online
OpenStudy (jekdidkdjrjrjjr):

fan+medal see pic

OpenStudy (jekdidkdjrjrjjr):

OpenStudy (calculusxy):

factor everything completely

OpenStudy (thecalchater):

Yep like calculus said factor first then you should be able to cancel some things.

OpenStudy (calculusxy):

this is your question and we are trying to help you answer it.

OpenStudy (studio-games):

Because no one is supposed to give the answer in openstudy.

OpenStudy (studio-games):

It is your work and YOU do it yourself.

OpenStudy (thecalchater):

we are here to guide you through the problem not give you answers... Read the policies if you are not familiar with them...

OpenStudy (studio-games):

It is cheating if you get the answer by it self.

OpenStudy (jekdidkdjrjrjjr):

k i already factored it what should i do next

OpenStudy (calculusxy):

cancel out the terms that look identical. but cancel the ones that are like diagonal to each other. for example|dw:1461950674974:dw|

OpenStudy (jekdidkdjrjrjjr):

i got x-2/x^3(x+7)^2(x-3)^2

OpenStudy (jekdidkdjrjrjjr):

i don’t get it

OpenStudy (jekdidkdjrjrjjr):

what should i do to find the quotient

OpenStudy (calculusxy):

so for the quadratic ones (\(ax^2 + bx + c\)), those are the ones that can be factored by grouping. for the rest you need to find the GCF and take it out

OpenStudy (jekdidkdjrjrjjr):

ya i still don’t get it

OpenStudy (thecalchater):

do you know how to factor?

OpenStudy (calculusxy):

for instance, i will do the first fraction for you as a guide. \[\frac{ x^2 - 4 }{ x^3 + 7x^2 } = \frac{ (x+2)(x-2) }{ x^2(x + 7) }\]

OpenStudy (thecalchater):

http://www.purplemath.com/modules/factquad.htm

OpenStudy (jekdidkdjrjrjjr):

i factored it and got x-2/x^3(x+7)^2(x-3)^2

OpenStudy (calculusxy):

notice that (x+2)(x-2)= x^2 - 4 and x^2(x+7) = x^3 + 7x^2

OpenStudy (jekdidkdjrjrjjr):

so its b?

OpenStudy (calculusxy):

why do you think it's b?

OpenStudy (jekdidkdjrjrjjr):

actually i think it might be c

OpenStudy (thecalchater):

don't use a calculator you can do this on paper...

OpenStudy (calculusxy):

let's check this is the expression in factored form \[\frac{ (x-2)(x+2) }{ x^2(x + 7) } \times \frac{ (x-3)(x+7) }{ x(x+2)(x-3) } \]

OpenStudy (jekdidkdjrjrjjr):

ya

OpenStudy (calculusxy):

do you understand how i got all of this?

OpenStudy (jekdidkdjrjrjjr):

yeah

OpenStudy (jekdidkdjrjrjjr):

so its c?

OpenStudy (calculusxy):

after canceling the terms out you should get: \[\frac{ (x-2) }{ x^3 }\] so yes it's C

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