Write an unsimplified rational expression in $x$ that has a quadratic expression in the numerator and the restriction on $x$ that $x\notin \{-2,5\}$.

Write a rational expression in $x$ which simplifies to $\frac{x+3}{x-10}$, and where $x\notin \{6,10\}$.

Simplify the following fraction to simplest form, by simplifying first, and then multiplying:

$\frac{3}{10}\times \frac{2}{9}$.

Simplify the following fractions to simplest form, by simplifying first, and then multiplying:

$\frac{-4}{12}\times \frac{2}{6}$.

Simplify the following fractions to simplest form, by simplifying first, and then multiplying:

$\frac{12}{75}\times \frac{18}{60}$.

Simplify the following fraction to the simplest form, by multiplying first, and then simplifying.

$\frac{3}{10}\times \frac{2}{9}$.

Simplify the following fraction to the simplest form, by multiplying first, and then simplifying.

$\frac{-4}{12}\times \frac{2}{6}$.

Simplify the following fraction to the simplest form, by multiplying first, and then simplifying.

$\frac{12}{75}\times \frac{18}{60}$.

Multiply the following algebraic fractions.

$\frac{x-5}{x+3}\times \frac{3x+9}{x+5},x\ne -3,x\ne -5$.