Group Them Carefully

Algebra Level 2

\[ \large \left( x + \dfrac1x \right)^3 = x^3 + 3x + \dfrac3x + \dfrac1{x^3} \]

The above is an algebraic identity.

If \(x + \dfrac1x = 5 \), what is the value of \(x^3 + \dfrac1{x^3} \)?

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