What is (sqrt(2x)+1/x)^3 ?

The solution to (sqrt(2x)+1/x)^3 is ((sqrt(2)xsqrt(x)+1)^3)/(x^3)

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simplify (sqrt(2x)+1/x)^3

simplify

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

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

Solution steps

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

Join

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

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

Apply exponent rule:

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

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

Apply radical rule:

assuming

a \geq 0, b \geq 0

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

(5 x + y) (5 x - y)

\frac{11}{6} + \frac{3}{10}

2 - 6 (2 n - 9)

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

\frac{2 x ^{4} - x ^{3} - 3 + 7 x}{2 x + 3}

What is (sqrt(2x)+1/x)^3 ?
The solution to (sqrt(2x)+1/x)^3 is ((sqrt(2)xsqrt(x)+1)^3)/(x^3)