The answer is 38.

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The question is of the form $(a-b)(a^2 + ab + b^2)$ which is the the expansion of $a^3 - b^3$

Substituting the values, we get:-

${(2\sqrt[3]{5})}^3 - {(\sqrt[3]{2})}^3$

= $(8×5) - 2$

= $40 - 2$

= $38$ . $_\square$