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Mathematics 11 Online
OpenStudy (anonymous):

HELP PLEASE!!!

OpenStudy (anonymous):

\[\frac{ 2x+6 }{ (x+3)^2 }+\frac{ x }{ x+3 }\]

OpenStudy (anonymous):

take LCM. and then try to solve it. the LCM will be (x+3)^2.

OpenStudy (anonymous):

Do I multiply that with the numerator also?

OpenStudy (anonymous):

it will be. ( (2x+6) + x(x+3) )/ x+3)^2. from here you can calculate easily

OpenStudy (anonymous):

I don't understand I think I calculated wrong because I got 2x and I don't think its right.

OpenStudy (anonymous):

Can you explain to me the steps, so maybe I might understand it?

OpenStudy (anonymous):

do you know how i get above equation that i give i previous comment

OpenStudy (wolf1728):

Look at the numerator on the left side 2x + 6 = 2*(x+3) and the denominator can be factored (x+3)*(x+3)

OpenStudy (anonymous):

yes @wolf1728 is also right you can take common 2 in 2x + 6 and then you can cut x+3 with denominator it will make the problem more easy.

OpenStudy (wolf1728):

gsRttN Sorry to just barge in like that but I thought another approach might help.

OpenStudy (anonymous):

is it \[\frac{ 2x }{ x+3 }\]

OpenStudy (anonymous):

or \[\frac{ x+2 }{ x+3 }\]

OpenStudy (anonymous):

which one @wolf1728

OpenStudy (wolf1728):

Christine - at the moment we are just concerned with the fraction on the left which has been changed to 2*(x+3) / (x+3) * (x+3) After cancelling that do you get?

OpenStudy (anonymous):

I get \[\frac{ 2 }{ x+3 }\]

OpenStudy (anonymous):

2/x+3

OpenStudy (wolf1728):

Correct !!!

OpenStudy (anonymous):

yay! I add them together which equals \[\frac{ x+2 }{ x+3 }\]

OpenStudy (anonymous):

x+2/x+3

OpenStudy (wolf1728):

And that is the final answer - very good :-)

OpenStudy (anonymous):

THANK YOU!!!! your medal will be with you shortly!! ^-^

OpenStudy (wolf1728):

Okay, thanks Christine and it's good to see you learned a little more about fractions.

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