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Perform the indicated operations and simplify the result. Leave the numerator and denominator in your answer in factoredform.(1-1/x)/(3+1/x)

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Assuming that x≠0 we get that:


(1-(1)/(x))/(3+(1)/(x))=(1-(1)/(x))/(3+(1)/(x))*(x)/(x).

Simplifying the above result we get:


(1-(1)/(x))/(3+(1)/(x))*(x)/(x)=((1-(1)/(x))*x)/((3+(1)/(x))*x).

Applying the distributive property we get:


((1-(1)/(x))*x)/((3+(1)/(x))*x)=(x-1)/(3x+1).

Therefore:


(1-(1)/(x))/(3+(1)/(x))=(x-1)/(3x+1).

Answer:


\begin{equation*} (x-1)/(3x+1). \end{equation*}

User JGutierrezC
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