8. Rational Expressions and Functions

Multiply the expressions and simplify. 

$\frac{3x+6}{y}\cdot \frac{xy+2y}{3}$

Multiply the expressions and simplify.

$\frac{x}{3}\cdot \frac{2}{y}$

Multiply the expressions and simplify.

$\frac{x}{x+2}\cdot \frac{x+2}{3}$

Divide each expression and write the quotient in its simplest form.

$\frac{5p+5}{8-10p}÷\frac{3p+3}{2(8-10p)}$

Divide each expression and write the quotient in its simplest form.

$\frac{y-1}{\frac{y+2}{\frac{y-1}{3(y+2)}}}$

Divide each expression and write the quotient in its simplest form.

$\frac{8x^3}{(2x{)}^5}÷\frac{4x^4}{16x^2}$