Multiply and Divide Rational Expressions

Complete Step 1:  FACTOR
 $\frac{x^2\ -5x\ +\ 6}{x^2-4}\cdot\frac{\left(x\ +6\right)\left(x\ +\ 5\right)}{x^2+2x\ -15}$  

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

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

Tags

CCSS.HSA.APR.D.6

Divide the Rational Expression
x² – 4x – 5  ÷  x² – 3x – 10  
 x² – 3x + 2           x² - 4

• (x - 5)/ (x - 1)
• (x + 1)/(x - 1)
• 1/(x - 1)
• (x + 1)

Tags

CCSS.HSA.APR.D.6

Multiply the Rational Expression
  x – 3  *  x + 5  
4x + 20     x² - 9

• (x + 5)/4
• (x + 5)/(x - 3)
• 1/(4(x + 3))
• 1/(x + 3)

Tags

CCSS.HSA.APR.D.7

 $\frac{b-4}{b^2+14b-40}\div\frac{b^2+6b+8}{b^2-3b-70}$  

•  $\frac{b-3}{6}$  

•  $\frac{2b}{9}$  

•  $\frac{5b\left(b-6\right)}{7}$  

•  $\frac{b+7}{\left(b+4\right)\left(b+2\right)}$  

Tags

CCSS.HSA.APR.D.6

 $\frac{10m-20}{10m+70}\times\frac{m^2+8m+7}{m+1}$  

•  $\frac{m+2}{3}$  

•  $\frac{3}{20}$  

•  $m-2$  

•  $\frac{m+4}{m+7}$  

Tags

CCSS.HSA.APR.D.6

Simplify $\frac{x-8}{x^2-18x+80}\div\frac{x+1}{x^2-7x-8}$  

•  $\frac{x-8}{x-10}$  

•  $\frac{7x^2}{x+10}$  

•  $\frac{5x}{x+7}$  

•  $\frac{4}{3x^2}$  

Tags

CCSS.HSA.APR.D.6