Multiplying and Dividing Rational Numbers

Multiply and divide, simplify, and give the domain.

 $\frac{x^2-x-6}{x^2-2x-8}\cdot\frac{2x^2-x-3}{x^2-3x-4}$  

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

• Domain: $x\ne-2,\ -1,\ 4$  

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

• Domain:  $x\ne4$  

•  $\frac{2x^2-x-3}{x-4}$  

Multiply and divide, simplify, and give the domain.

 $\frac{x^2-9x-10}{x^2+x-6}\div\frac{2x^2-2}{x^2-4}$  

•  $\frac{\left(x-10\right)\left(x+2\right)}{2\left(x+3\right)\left(x-1\right)}$  

• Domain:  $x\ne-3,\ -2,\ -1,\ 1,\ 2$  

•  $\frac{\left(x-10\right)\left(x+1\right)\left(x+2\right)}{\left(2x^2-2\right)\left(x+3\right)}$  

• Domain: $x\ne-3,-2,\ 2$  

•  $\frac{1}{2}$  

Multiply and divide, simplify, and give the domain.

 $\frac{4x+8}{x^2-25}\cdot\frac{x-5}{5x+10}$  

•  $\frac{4}{5\left(x+5\right)}$  

• Domain: $x\ne-5,\ -2,\ 5$  

•  $\frac{4\left(x-5\right)}{5\left(x^2-25\right)}$  

• Domain: $x\ne5,\ -2$  

•  $\frac{5x-3}{x^2+5x-15}$  

Multiply and divide, simplify, and give the domain (two answer choices).

 $\frac{x^2+x-30}{x-7}\cdot\frac{2x-14}{x+6}$  

•  $2\left(x-5\right)$  

• Domain:  $x\ne-6,\ 7$  

•  $\frac{\left(2x-14\right)\left(x-5\right)}{x-7}$  

• Domain:  $x\ne7$  

•  $\frac{x+6}{x-5}$  

Simplify

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

Simplify 

• A.(x+7)/(x-4)
• B.-3/4
• C.(x+3)/(x+4)
• D.(x+3)/(x-4)

Perform the operation

• A
• B
• C
• D

• 1/6

• x+10/ 6x+60

• x+8/ 6x+60

• (x+10)(x+8)/ 6x+60