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Mathematics 21 Online
OpenStudy (anonymous):

(x^3-49x)/(17x+119) Simplify

jimthompson5910 (jim_thompson5910):

are you able to factor x^3 - 49x ?

OpenStudy (anonymous):

I don't know how to factor with only 2 things

jimthompson5910 (jim_thompson5910):

well notice we have the GCF of x

jimthompson5910 (jim_thompson5910):

so we can factor that out x*(x^2 - 49)

OpenStudy (anonymous):

x(x^2+49)

jimthompson5910 (jim_thompson5910):

minus, not plus

OpenStudy (anonymous):

- not +

jimthompson5910 (jim_thompson5910):

yeah

jimthompson5910 (jim_thompson5910):

then factor x^2 - 49

jimthompson5910 (jim_thompson5910):

that is a difference of squares

OpenStudy (anonymous):

x-7

OpenStudy (anonymous):

so x^2(x-7)?

jimthompson5910 (jim_thompson5910):

close, you forgot about the (x+7) as well

jimthompson5910 (jim_thompson5910):

x^2 - 49 factors to (x-7)(x+7)

OpenStudy (anonymous):

okay so I have log(x(x+7)(x-7)/(17x+119)) but im still confused on what needs to be simplified still

jimthompson5910 (jim_thompson5910):

where are you getting "log" ?

OpenStudy (anonymous):

oh i forgot to add it in the original equation

jimthompson5910 (jim_thompson5910):

gotcha

jimthompson5910 (jim_thompson5910):

anyways, we factor the denominator 17x+119

jimthompson5910 (jim_thompson5910):

we can factor out 17 to get 17(x+7)

jimthompson5910 (jim_thompson5910):

I'm sure you see what cancels

OpenStudy (anonymous):

yes thank you so much!

jimthompson5910 (jim_thompson5910):

you're welcome

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