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

Question

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

dayakar · Answer

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

dayakar · Answer

do u understand it

anonymous · Answer

Yes I do! Thanks!

dayakar · Answer

:)

maddy1251 · Answer

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maddy1251 · Answer

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

maddy1251 · Answer

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..

maddy1251 · Answer

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maddy1251 · Answer

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

maddy1251 · Answer

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maddy1251 · Answer

Lets use the same principle from before to keep chugging.

maddy1251 · Answer

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

maddy1251 · Answer

the answer should be x-2.

maddy1251 · Answer

we can check by using the FOIL method.

maddy1251 · Answer

(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!

anonymous · Answer

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