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Algebra 21 Online
OpenStudy (anonymous):

Can you help me simplify this problem? Thanks in advance! x^2+x-6/x+3

OpenStudy (dayakar):

\[\frac{ x ^{2}*x }{ x }+\frac{ x*x }{ x }-\frac{ 6 }{ x }+ \frac{ 3*x }{ x }\] making all denominators equal

OpenStudy (dayakar):

do u understand it

OpenStudy (anonymous):

Yes I do! Thanks!

OpenStudy (dayakar):

:)

OpenStudy (maddy1251):

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OpenStudy (maddy1251):

With this, I like to just divide like regular numbers, it's easier for me this way.

OpenStudy (maddy1251):

When I look at x+3 and lets say, the beginning terms of "x^2+x" I want to be able to cancel out as many terms as possible. To get an "x^2" I must multiply x+3 by x. so..

OpenStudy (maddy1251):

|dw:1458699592012:dw|

OpenStudy (maddy1251):

so now, I just need to simplify. (NOTE : that x above 3x is the same as 1x!)

OpenStudy (maddy1251):

|dw:1458699693687:dw|

OpenStudy (maddy1251):

Lets use the same principle from before to keep chugging.

OpenStudy (maddy1251):

|dw:1458699742096:dw| Don't mind my scrible by the -2 above the division line. I made a mistake.

OpenStudy (maddy1251):

the answer should be x-2.

OpenStudy (maddy1251):

we can check by using the FOIL method.

OpenStudy (maddy1251):

(x+3)(x-2) F:(x)(x) O: (x)(-2) I: (3)(x) L: (+3)(-2) x^2+x-6. Boom! There it is. Hope my explanation helped!

OpenStudy (anonymous):

@Maddy1251 Thank you so much I will definitely use this for future reference! :)

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