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Mathematics 24 Online
OpenStudy (anonymous):

Simplify

OpenStudy (anonymous):

\[\frac{ x^{-1} + 2x^{-2} }{ 1+x^{-1} }\]

OpenStudy (mayankdevnani):

you can write \[\huge \bf x^{-1} ~as~\frac{1}{x}\] and \[\huge \bf 2x^{-2}~as~\frac{2}{x^2}\]

OpenStudy (mayankdevnani):

so can you rewrite your problem? @RH

OpenStudy (anonymous):

1/x + 2 1?xˆ2 / 1 + 1/x

OpenStudy (anonymous):

is it correct?

OpenStudy (mayankdevnani):

@RH use equation editor

OpenStudy (mathmate):

Would the question be: \( \huge \frac{\frac{1}{x}+\frac{2}{x^2}}{1+\frac{1}{x}}\\ \)? Do you need to simplify the expression? @mayankdevnani How did you make the display in bold? I got the \huge.

OpenStudy (anonymous):

yes!!!

OpenStudy (anonymous):

that is what I got

OpenStudy (mathmate):

On condition that x\( \ne\)0, you can multiply numerator and denominator by \( x^2 \) and then simplify.

OpenStudy (anonymous):

How do I simplify?

OpenStudy (anonymous):

@mathmate can you please help?

OpenStudy (mayankdevnani):

we get, \[\huge \bf \frac{\frac{1}{x}+\frac{2}{x^2}}{1+\frac{1}{x}}\] first solve this :- |dw:1375615519173:dw| now solve this :- |dw:1375615551709:dw| by combining,we get |dw:1375615594714:dw|

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