Simplify Rationals

Simplify

 $\frac{20x^3}{5x+10}$  

•  $\frac{4x^3}{x+2}$  

•  $\frac{4x^3}{x+10}$  

•  $\frac{2x^3}{5x+10}$  

•  $\frac{2x^3}{x+5}$  

Simplify and state excluded values.

 $\frac{x+9}{x^2-81}$  

•  $\frac{x-9}{x+9},\ x\ne-9,\ 9$  

•  $\frac{1}{x-9},\ x\ne-9,\ 9$  

•  $x+9,\ \ x\ne-9,\ 9$  

•  $\frac{1}{x+9},\ x\ne-9,\ 9$  

Simplify 

 $\frac{x^2+11x+24}{x^2+4x-32}$  

•  $\frac{x+7}{x-4}$  

•  $\frac{-3}{4}$  

•  $\frac{x+3}{x+4}$  

•  $\frac{x+3}{x-4}$  

Find the excluded value(s).

 $\frac{n^2+n-12}{n-3}$  

• 3

• -3

• 0

• -1

Which factor divides (cancels) out when you simplify this rational expression?

 $\frac{x^2-4}{x^2+8x+12}$  

• x + 2

• x - 2

• x + 6

• Nothing cancels out

Simplify and state excluded values. 

 $\frac{7m+42}{m^2+3m-18}$  

•  $\frac{m+6}{m-3},\ m\ne-6,\ 3$  

•  $\frac{7}{m-3},\ m\ne-6,\ 3$  

•  $7\left(m+6\right),\ m\ne-6,\ 3$  

• (m-3) $m-3,\ m\ne-6,\ 3$  

Simplify. 

 $\frac{x^2+10x+24}{x^2-x-20}$  

•  $\frac{x+6}{x+4}$  

•  $\frac{x+6}{x-4}$  

•  $x+6$  

•  $\frac{x+6}{x-5}$