Group Them Carefully

Algebra Level 2

(x+1x)3=x3+3x+3x+1x3 \large \left( x + \dfrac1x \right)^3 = x^3 + 3x + \dfrac3x + \dfrac1{x^3}

The above is an algebraic identity.

If x+1x=5x + \dfrac1x = 5 , what is the value of x3+1x3x^3 + \dfrac1{x^3} ?

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