If \( \left(a+\frac{1}{a}\right)^{2}=9 \), then \( a^{3}+\frac{1}{a^{3}} \) equals a. \( \frac{1...

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If \( \left(a+\frac{1}{a}\right)^{2}=9 \), then \( a^{3}+\frac{1}{a^{3}} \) equals
a. \( \frac{10 \sqrt{3}}{3} \)
b. \( 3 \sqrt{3} \)
c. 18
d. \( 7 \sqrt{7} \)
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