# A child's play

Algebra Level 4

$\dfrac{x^{80}+2x^{64}+2x^{56}+x^{48}+4x^{40}+x^{32}+2x^{24}+2x^{16}+1}{x^{40}}$

Given that $$x+\dfrac{1}{x}=\sqrt{3}$$, find the value of the expression above.

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