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Popular >

expand (1+x/3)^{-1}

Solution

expand

(1 + \frac{x}{3})^{- 1}

Solution

\frac{3}{x + 3}

Solution steps

(1 + \frac{x}{3})^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= \frac{1}{( 1 + \frac{x}{3} )}

Join

1 + \frac{x}{3} : \frac{3 + x}{3}

= \frac{1}{\frac{3 + x}{3}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{3}{3 + x}

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Frequently Asked Questions (FAQ)

What is expand (1+x/3)^{-1} ?
The solution to expand (1+x/3)^{-1} is 3/(x+3)