Question 21
The result of
$$\left(\frac{2^3+1}{2^3-1}\right)\left(\frac{3^3+1}{3^3-1}\right)\left(\frac{4^3+1}{4^3-1}\right)\ldots\left(\frac{10^3+1}{10^3-1}\right)$$
is written as the fraction $\frac ab$ in lowest terms. Find $a+b$.
$$\left(\frac{2^3+1}{2^3-1}\right)\left(\frac{3^3+1}{3^3-1}\right)\left(\frac{4^3+1}{4^3-1}\right)\ldots\left(\frac{10^3+1}{10^3-1}\right)$$
is written as the fraction $\frac ab$ in lowest terms. Find $a+b$.