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Popular >

simplify (x+1+x^{-1})^4

Solution

simplify

(x + 1 + x^{- 1})^{4}

Solution

\frac{( x ^{2} + x + 1 ) ^{4}}{x ^{4}}

Solution steps

(x + 1 + x^{- 1})^{4}

Simplify

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

= (\frac{x ^{2} + x + 1}{x})^{4}

Apply exponent rule:

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

= \frac{( x ^{2} + x + 1 ) ^{4}}{x ^{4}}

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Frequently Asked Questions (FAQ)

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