If $a+\frac{1}{a}=5$, then what is the value of $a^3+\frac{1}{a^3}$ ?
Answer & explanation
Correct answer: option 1
If $a+\frac{1}{a}=5$
then, $a^3+\frac{1}{a^3}$.
a3 + \(\frac{1}{a^3}\) = (a + \(\frac{1}{a}\))3 – 3(a + \(\frac{1}{a}\))
a3 + \(\frac{1}{a^3}\) = 53 – 3 × 5 = 110