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Popular >

expand (3-1/x)^{-2}

Solution

expand

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

Solution

\frac{x ^{2}}{( 3 x - 1 ) ^{2}}

Solution steps

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

Apply exponent rule:

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

= \frac{1}{( 3 - \frac{1}{x} ) ^{2}}

(3 - \frac{1}{x})^{2} = \frac{( 3 x - 1 ) ^{2}}{x ^{2}}

= \frac{1}{\frac{( 3 x - 1 ) ^{2}}{x ^{2}}}

Apply the fraction rule:

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

= \frac{x ^{2}}{( 3 x - 1 ) ^{2}}

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Frequently Asked Questions (FAQ)

What is expand (3-1/x)^{-2} ?
The solution to expand (3-1/x)^{-2} is (x^2)/((3x-1)^2)