Regents Challenge: Multiplying Rational Expressions

$$\frac{2x^2}{8}\ \cdot\ \frac{5x}{8}$$

$$\frac{4x}{6}\ \cdot\frac{7x}{4}$$

$$\frac{n+10}{\left(n+8\right)\left(n+10\right)}\ \cdot\ \frac{9n^2\left(n+8\right)}{9}$$

$$\frac{4}{4k\left(k+8\right)}\ \cdot\ \frac{4k\left(k+3\right)}{4}$$

What is the product of $$\frac{x^2-1}{x+1}$$ and $$\frac{x+3}{3x-3}$$ expressed in simplest form?

What is the product of $$\frac{4x}{x-1}$$ and $$\frac{x^2-1}{3x+3}$$ expressed in simplest form?

Multiply: $$\frac{x^2}{x+2}$$ $$\cdot$$ $$\frac{x^2-5x-14}{x^2+2x}$$

Multiply: $$\frac{x^2}{x+5}\cdot\ \frac{x^2-x-30}{x^2-6x}$$

Multiply: $$\frac{x^2}{x+9^{ }}\cdot\ \frac{x^2+6x-27}{x^2-3x}$$

What is the product of $$\frac{x^2-x-6}{x^2-3x+2}\cdot\ \frac{2x^2-6x+4}{x^2-2x-3}$$ ?