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Mathematics 21 Online
OpenStudy (anonymous):

(8/x-2) + (2/x+3)

OpenStudy (anonymous):

\[\frac{8}{x-2}+\frac{2}{x+3}\] like that ?

OpenStudy (anonymous):

Yes they want the sum of the equation

OpenStudy (kamille):

you need to find a common denominator. Do you know how to do it?

OpenStudy (anonymous):

umm nooo....sorry

OpenStudy (anonymous):

to add fractions you need \[\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}\]

OpenStudy (anonymous):

put \(a=8,b=x-2,c=2,d=x+3\) and get \[\frac{8(x+3)+2(x-2)}{(x-2)(x-3)}\]

OpenStudy (anonymous):

then you can clean up the numerator with some algebra

OpenStudy (anonymous):

(8x+24) + (2x+4) for the top, yes?

OpenStudy (anonymous):

Help please

OpenStudy (anonymous):

no it would be \[8x+24+2x-4\]

OpenStudy (anonymous):

then combine like terms to get \[10x+20\]

OpenStudy (anonymous):

so the bottom would be some x^2 -6

OpenStudy (anonymous):

i was trying to put the bottom together like i did with the top, there are 2 x's in the bottom equation.

OpenStudy (kamille):

Sorry! You have done everything corret!

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