Question 79
Let $a$ and $b$ be real numbers such that $|a| \neq |b|$ and $\frac{a+b}{a-b} + \frac{a-b}{a+b} = 6$.
Find the value of the expression $\frac{a^3 + b^3}{a^3 - b^3} + \frac{a^3 - b^3}{a^3 + b^3}$.
Find the value of the expression $\frac{a^3 + b^3}{a^3 - b^3} + \frac{a^3 - b^3}{a^3 + b^3}$.