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Popular >

simplify (2/x-x/2)^3

Solution

simplify

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

Solution

\frac{( 4 - x ^{2} ) ^{3}}{8 x ^{3}}

Solution steps

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

Join

\frac{2}{x} - \frac{x}{2} : \frac{4 - x ^{2}}{2 x}

= (\frac{4 - x ^{2}}{2 x})^{3}

Apply exponent rule:

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

= \frac{( 4 - x ^{2} ) ^{3}}{( 2 x ) ^{3}}

Simplify

(2 x)^{3} : 8 x^{3}

= \frac{( 4 - x ^{2} ) ^{3}}{8 x ^{3}}

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Frequently Asked Questions (FAQ)

What is (2/x-x/2)^3 ?
The solution to (2/x-x/2)^3 is ((4-x^2)^3)/(8x^3)