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If $$x - \frac{1}{x} = 10, then x^3 - \frac{1}{x^3}$$ is equal to:
$$x - \frac{1}{x} = 10$$
Now , we have to find,
$$x^3$$ - $$\frac{1}{x^3}$$ = (x - $$\frac{1}{x}$$)($$x^2 $$+ 1 + $$\frac{1}{x^2}$$)
Calculate,
$$x^2 $$+ $$\frac{1}{x^2}$$ = $$(x-\frac{1}{x})^2$$ + 2x.$$\frac{1}{x}$$
=>102
Hence,
result= 10 * (102 +1) = 1030
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