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 $x^3 + \dfrac1{x^3}$?

×