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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?
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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.
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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|