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Popular >

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

Solution

expand

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

Solution

x^{\frac{6 x + 3}{x}}

Solution steps

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

Apply exponent rule:

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

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

Simplify

(2 + \frac{1}{x}) \cdot 3 : \frac{3 ( 2 x + 1 )}{x}

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

\frac{3 ( 2 x + 1 )}{x} = \frac{6 x + 3}{x}

= x^{\frac{6 x + 3}{x}}

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Frequently Asked Questions (FAQ)

What is expand (x^{2+1/x})^3 ?
The solution to expand (x^{2+1/x})^3 is x^{(6x+3)/x}