What is the answer to x^3-1/(x^3)=4^3 ?

The answer to x^3-1/(x^3)=4^3 is

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x^3-1/(x^3)=4^3

x^{3} - \frac{1}{x ^{3}} = 4^{3}

Solution steps

x^{3} - \frac{1}{x ^{3}} = 4^{3}

Multiply both sides by

x^{3}

x^{6} - 1 = 64 x^{3}

Solve

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

\frac{3 x}{x + 1} = 9 - \frac{3}{x + 1}

\frac{4}{x - 2} = 5

\frac{3}{x} = \frac{18}{9.7}

\frac{5}{r + 10} = \frac{7}{5}

\frac{12}{x ( x + 8 )} = 0