Multiplying & Dividing Rational Expressions Mixed Review

Simplify the expression

 $\frac{8x+28}{4}\div\frac{16x+56}{8}$  

Simplify the expression

 $\frac{7}{n^2+3n-28}\cdot\frac{n-4}{5n^2}$  

•  $\frac{7}{5n^2\left(n+7\right)}$  

•  $\frac{8n^2}{n+5}$  

•  $4n^2$  

•  $1$  

Simplify the expression
 $\frac{x-2}{x^2-14x+48}\cdot\frac{4x^2-24x}{4x}$  

•  $2x\left(x-1\right)$  

•  $\frac{10}{7x}$  

•  $\frac{x+7}{6x^2}$  

•  $\frac{x-2}{x-8}$  

Simplify the expression
 $\frac{3}{x+2}\cdot\frac{x^2+6x+8}{x^2+8x+16}$  

•  $\frac{5\left(x+1\right)}{x+9}$  

•  $\frac{3}{x+4}$  

•  $4x\left(x-10\right)$  

•  $4$  

Simplify the expression
 $\frac{6b^2+54b}{b-1}\div\frac{8b}{b-1}$  

•  $\frac{6}{7}$  

•  $\frac{b-4}{b+3}$  

•  $\frac{6b}{\left(b+4\right)\left(b+2\right)}$  

•  $\frac{3\left(b+9\right)}{4}$  

Simplify the expression
 $\frac{3n^3+6n^2}{3n^2}\div\frac{n+2}{9n}$  

Simplify the expression
 $\frac{x^2+16x+63}{x+9}\div\frac{6x+42}{7x}$  

Simplify the expression
 $\frac{10-2n}{2}\cdot\frac{n+8}{n^2+3n-40}$