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Popular >

expand (1+x/2)^{-1}

Solution

expand

(1 + \frac{x}{2})^{- 1}

Solution

\frac{2}{x + 2}

Solution steps

(1 + \frac{x}{2})^{- 1}

Apply exponent rule:

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

= \frac{1}{( 1 + \frac{x}{2} )}

Join

1 + \frac{x}{2} : \frac{2 + x}{2}

= \frac{1}{\frac{2 + x}{2}}

Apply the fraction rule:

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

= \frac{2}{2 + x}

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Frequently Asked Questions (FAQ)

What is expand (1+x/2)^{-1} ?
The solution to expand (1+x/2)^{-1} is 2/(x+2)