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Popular >

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

Solution

expand

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

Solution

\frac{4}{( x + 2 ) ^{2}}

Solution steps

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

Apply exponent rule:

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

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

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

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

Apply the fraction rule:

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

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

2^{2} = 4

= \frac{4}{( 2 + x ) ^{2}}

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Frequently Asked Questions (FAQ)

What is expand (1+x/2)^{-2} ?
The solution to expand (1+x/2)^{-2} is 4/((x+2)^2)