If \( a=\frac{1}{7-4 \sqrt{3}} \) and \( b=\frac{1}{7+4 \sqrt{3}} \), then find the value of the...

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If \( a=\frac{1}{7-4 \sqrt{3}} \) and \( b=\frac{1}{7+4 \sqrt{3}} \), then find the value of the following:
\[a^{3}+b^{3}\]
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