What is (x^3)/(64)-(64)/(x^3) ?

The solution to (x^3)/(64)-(64)/(x^3) is (x^6-4096)/(64x^3)

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simplify (x^3)/(64)-(64)/(x^3)

simplify

\frac{x ^{3}}{64} - \frac{64}{x ^{3}}

\frac{x ^{6} - 4096}{64 x ^{3}}

Solution steps

\frac{x ^{3}}{64} - \frac{64}{x ^{3}}

Least Common Multiplier of

64, x^{3} : 64 x^{3}

Adjust Fractions based on the LCM

= \frac{x ^{6}}{64 x ^{3}} - \frac{4096}{64 x ^{3}}

Apply the fraction rule:

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

= \frac{x ^{6} - 4096}{64 x ^{3}}

\frac{3}{( 2 3 x - 5 )} + \frac{3}{( 2 \cdot ( 3 x - 5 ) ^{\frac{3}{2}} )}

a \cdot - x \cdot 7

(x - 1)^{3} - (x + 1)^{3} + 6 (x + 1) (x - 1)

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

x^{2} (x + y) + 2 x (x^{2} + y)

What is (x^3)/(64)-(64)/(x^3) ?
The solution to (x^3)/(64)-(64)/(x^3) is (x^6-4096)/(64x^3)