Multiplying Rational Expressions

Simplify:
 $\frac{x^2+10x+24}{x^2-x-20}$  

•  $\frac{x+6}{x+4}$  

•  $\left(x+6\right)\left(x+4\right)$  

•  $x+6$  
  

•  $\frac{x+6}{x-5}$  
  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $\frac{\left(x+9\right)\left(x+8\right)}{8}\cdot\frac{\left(x-1\right)}{\left(x+8\right)\left(x-1\right)}$  

•  $\frac{\left(x+9\right)}{8}$   

•  $\frac{\left(x-1\right)}{8}$  

•  $\frac{1}{8}$  

•    $\frac{\left(x+9\right)\left(x+8\right)}{8}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

 $\frac{x^2-x-6}{x-3}\cdot\frac{x+9}{x+2}$  

•  $x+9$  
  

•  $\frac{x-3}{x-2}$  

•  $\frac{x+9}{x+2}$  

•  $x-3$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Multiply and Simplify:

 $\frac{x+3}{4}\cdot\frac{x+2}{x^2+4x+3}$  

•  $\frac{4\left(x+3\right)}{x+2}$  

•  $\frac{x+2}{4\left(x+1\right)}$  

•  $\frac{x+2}{4\left(x+3\right)}$  

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

Tags

CCSS.HSA.APR.D.7

Multiply & Simplify:
 $\frac{x^3-9x}{x^2+10x+21}\cdot\frac{x^2+7x}{x^2+5x-24}$  

•  $\frac{2x}{x+8}$  
  

•  $\frac{x^2}{x+8}$  
  

•  $\frac{x}{x+4}$  
  

•  $\frac{x^2\left(x-9\right)}{x+8}$  
  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify:
 $\frac{a-8}{7\left(a+2\right)}\cdot\frac{7\left(a+2\right)}{a+2}$  

•  $\frac{7\left(a+2\right)}{a+2}$  

•  $\frac{a-8}{a+2}$  

•  $\frac{a+2}{7}$  

•  $\frac{a-8}{7}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify:
 $\frac{x+9}{x^2-81}$  

•  $\frac{x-9}{x+9}$  

•  $\frac{1}{x-9}$  

•  $x+9$  
  

•  $\frac{1}{x+9}$  
  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.2

Simplify:
 $\frac{a^2+3a+2}{a+2}\cdot\frac{a-9}{a+1}$  

•  $\frac{a+7}{3}$  
  

•  $a-9$  
  

•  $\frac{a+10}{\left(a-7\right)\left(a-5\right)}$  
  

•  $5$  
  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Multiply:
 $\frac{2x+16}{x^2+3x-40}\cdot\frac{x^2-11x+30}{x^2-14x+48}$  

•  $\frac{3x^2\left(x+5\right)}{5}$  
  

•  $\frac{2}{x-8}$  
  

•  $x-2$  
  

•  $6x^2\left(x-4\right)$  
  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.7

 $\frac{8}{x-2}\cdot\frac{5x+50}{x+10}$  

•  $x+4$  
  

•  $x-4$  
  

•  $\frac{x+4}{5}$  
  

•  $\frac{40}{x-2}$  
  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3