Simplify each complex fraction. [ 1/(a³+b³) ] / [ 1/(a² + 2ab + b²) ]

Simplify each complex fraction. [ 1/(x³-y³) ] / [ 1/(x² -y²) ]

Simplify each complex fraction. $\(\frac{m - \frac{1}{m^2 - 4}\)}{\(\frac{1}{m + 2}\)}$

Simplify each complex fraction. [ y + 1/(y²-9) ] / [ 1/(y + 3) ]

Simplify each complex fraction. $\(\frac{\frac{6}{x^2 - 25}\) + x}{\(\frac{1}{x - 5}\)}$

Simplify each complex fraction. [ (-2)/(x+h) - (-2)/x ] / h

Perform all indicated operations, and write each answer with positive integer exponents. [ (x^-2 + y^-2)/ (x^-2 - y^-2) ] * [ (x+y)/(x-y) ]

Simplify each rational expression. Assume all variable expressions represent positive real numbers. (Hint: Use factoring and divide out any common factors as a first step.) [(y² +2)⁵(3y) - y³(6)(y²+2)⁴(3y)] / [(y²+2)⁷]