Algebraic expressions

Divide and simplify the result:

 $\frac{2}{7}\div\frac{18}{8x^2}$ 

•  $\frac{8x^2}{63}$  
  

•  $\frac{9}{14x^2}$  
  

•  $\frac{63}{8x^2}$  
  

•  $\frac{14x^2}{9}$ 

My first step will be to change the operator to multiplication and flip the second fraction when...

• Adding
• Subtracting
• Multiplying
• Dividing

Simplify

 $\frac{3x^2-9x-12}{6x^2+9x+3}$  

•  $\frac{x-4}{2x+1}\ ,\ x\ne1,\ \frac{1}{2}$  

•  $\frac{x-4}{2x+1}\ ,\ x\ne-1,\ -\frac{1}{2}$  

•  $\frac{3\left(x-4\right)}{3\left(2x+1\right)}\ ,\ x\ne-1,\ -\frac{1}{2}$  

•  $\frac{3\left(x-4\right)}{3\left(2x+1\right)},\ x\ne1,\ \frac{1}{2}$  

Divide:

 $\frac{-45h^7+35h^6-20h^4}{5h^3}$  

•  $-9h^4+7h^3-4h$  

•  $-4h+7h^3-9h^4$  

•  $-9h^{10}+7h^9-4h^7$  

•  $-4h^7+7h^9-9h^{10}$  

What is the result of simplifying the expression completely. $\ \ \ \frac{p^2+7p-44}{p^3-4p^2-9p+36}$   
Leave the answer in fully factored form.

•  $\frac{p+11}{\left(p+3\right)\left(p-3\right)}$  

•  $\frac{p+11}{\left(p-3\right)\left(p-3\right)}$  

•  $\frac{p+11}{p^2-9}$  

•  $\frac{p-11}{p^2-9}$  

• y – 5

• y – 2

• y – 3

• y + 3

Simplify

• (x-9)/(x+9)
• 1/(x-9)
• (x+9)
• 1/(x+9)

 $\frac{\left(m^2n+m^6n^3\right)}{mn}$  

•  $m^3n^2+m^7n^4$  

•  $m^2n+m^5n^2$  

•  $m+m^5n^2$  

•  $m+m^6n^3$  

FACTOR
 $\frac{x^2\ -5x\ +\ 6}{x^2-4}\cdot\frac{\left(x\ +6\right)\left(x\ +\ 5\right)}{x^2+2x\ -15}$  

•  $\frac{\left(x\ -\ 3\right)\left(x\ -\ 2\right)}{\left(x\ +\ 2\right)\left(x\ -\ 2\right)}\cdot\frac{\left(x\ +\ 6\right)\left(x\ +\ 5\right)}{\left(x\ +\ 5\right)\left(x\ -\ 3\right)}$  

•  $\frac{\left(x\ +\ 6\right)\left(x\ -\ 1\right)}{\left(x\ +\ 2\right)\left(x\ -\ 2\right)}\cdot\frac{\left(x\ +\ 6\right)\left(x\ +\ 5\right)}{\left(x\ -5\right)\left(x\ -3\right)}$  

What is 24x³ - 16x² + 20x divided by 4x?

• 6x² - 4x + 5

• 6x² + 4x - 5

• 6x³ - 4x - 5

• 6x³ + 4x - 5