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Popular >

simplify (x+x^{-1})^3

Solution

simplify

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

Solution

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

Solution steps

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

Simplify

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

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

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Frequently Asked Questions (FAQ)

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