What is (x^3)/2-1/(2x^3) ?

The solution to (x^3)/2-1/(2x^3) is (x^6-1)/(2x^3)

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simplify (x^3)/2-1/(2x^3)

simplify

\frac{x ^{3}}{2} - \frac{1}{2 x ^{3}}

\frac{x ^{6} - 1}{2 x ^{3}}

Solution steps

\frac{x ^{3}}{2} - \frac{1}{2 x ^{3}}

Least Common Multiplier of

2, 2 x^{3} : 2 x^{3}

Adjust Fractions based on the LCM

= \frac{x ^{6}}{2 x ^{3}} - \frac{1}{2 x ^{3}}

Apply the fraction rule:

\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}

= \frac{x ^{6} - 1}{2 x ^{3}}

- 5 - 15

\frac{1469}{1000}

\frac{7}{4} - \frac{1}{3}

66 \frac{2}{3} \div 40