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Factorization is an art

Algebra Level 5

A root of $10x^3-3x^2-3x-1=0$ is of the form $\dfrac{\sqrt[3]{a}+\sqrt[3]{b}+1}{c}$ , where $a$ , $b$ , and $c$ are positive integers. Find $a+b+c$ .

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by Tommy Li

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