Multiply and Divide Rational Expressions Day 3

 $\frac{a^2-5a-14}{a-7}\div\frac{a^2-a-6}{5a^3+30a^2}$  

•  $\frac{a+9}{15a}$ 
  

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

•  $\frac{1}{a-1}$  

•  $\frac{9a}{a+9}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

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

CCSS.HSA.APR.D.7

 $\frac{x^2+3x-18}{3x+18}\div\frac{x^2+7x-30}{x^2+x-90}$  

•  $3x^2\left(x-9\right)$  

•  $\frac{x-9}{3}$  

•  $\frac{x+7}{60}$  

•  $\left(x-3\right)\left(x+10\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

 $\frac{8n}{10n^2+40n}\div\frac{n^2+10n+16}{10n^2+20n}$  

•  $\frac{8n}{\left(n+4\right)\left(n+8\right)}$  

•  $80n^2$  

•  $\frac{n-4}{7\left(n-10\right)}$  

•  $\frac{32n^2}{n-3}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.7

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

•  $\frac{m+2}{3}$  

•  $\frac{3}{20}$  

•  $m-2$  

•  $\frac{m+4}{m+7}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

 $\frac{16n-56}{n^2-11n+30}\div\frac{10n-35}{n^2-11n+30}$  

•  $\frac{n+7}{n+8}$  

•  $10$  

•  $\frac{8}{5}$  

•  $\frac{7\left(n-1\right)}{n-5}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

 $\frac{n^2+10n+9}{80}\times\frac{8}{n^2+10n+9}$  

•  $64$  

•  $\frac{27n^3}{n+6}$  

•  $\frac{1}{10}$  

•  $\frac{7n\left(n+10\right)}{6}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

Divide the Rational Expression
 $\frac{x^2-4x-5}{x^2-3x+2}\div\frac{x^2-3x-10}{x^2-4}$  

•  $\frac{x-5}{x-1}$  

•  $\frac{x+1}{x-1}$  

•  $\frac{1}{x-1}$  

•  $x+1$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

 $\frac{3x+12}{x^25x+6}\div\frac{x+4}{5x+15}$  

•  $\frac{x+4}{x+3}$  

•  $\frac{x+2}{15}$  

•  $\frac{15}{x+2}$  

•  $\frac{5}{x+2}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

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.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7