Operations on rational algebraic expressions

Simplify the rational expression: (9y^2 - 18y) / 3y

• 3y - 6

• 9y - 18

• 2y - 3

• 3y + 6

• A

• B

• C

• D

Simplify the expression

• 
• 
• 1

• 88

Simplify the expression

 $\frac{-8x^8+18x^6}{-2x^4}$  

•  $-5x^{10}$  

•  $4x^4+18x^6$  

•  $-6x^4+16x^2$  

•  $4x^4-9x^2$  

Which of the following is equivalent to $\frac{-22-44x}{-11}$  ?

•  $2$  

•  $2x$  

•  $2-4x$  

•  $2+4x$  

 Simply the rational expression.

 $\frac{x\ +\ 3}{x^2+\ 12x\ +27}$ 

• x + 9

•  $\frac{1}{x+9}$  

• x + 3

•  $\frac{1}{x\ +\ 3}$  

What is the result of simplifying the expression completely. $\ \ \ \frac{3y^2-2y-8}{4y^3-8y^2}$   
Leave the answer in fully factored form.

•  $\frac{3y+4}{4y^2}$  

•  $\frac{3y-4}{4y^2}$  

•  $\frac{3y}{4}$  

•  $\frac{\left(y+2\right)\left(3y-4\right)}{2y^2\left(y-4\right)}$  

Simplify this rational expression:

 $\frac{\left(x+2\right)\left(x-1\right)}{\left(x+10\right)\left(x+2\right)\ }$  

•  $\frac{\left(x-1\right)}{\left(x+10\right)}$  

•  $\frac{\left(x+2\right)}{\left(x+10\right)}$  

•  $\frac{\left(x+2\right)}{\left(x+2\right)\ }$  

•  $\left(x+2\right)\$