Adding/subtracting/Multiplying/Dividing Rational Expressions

Add

 $\frac{7x}{x^2-5x}+\frac{x^2}{x-5}$  

•  $\frac{x^2+7}{x+5}\$  

•  $\frac{x^2+7}{x-5}\$  

•  $\frac{x^4-5x^3+7x^2-35x}{\left(x^2-5x\right)\left(x-5\right)}\$  

•  $\frac{x^4-5x^3+7x^2-35x}{\left(x^2-5x\right)}\$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Multiply and Simplify 

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

•  $\frac{4\left(x+3\right)}{x+2}$  

•  $\frac{x+2}{4\left(x+1\right)}$  

•  $\frac{x+2}{4\left(x+3\right)}$  

•  $\frac{4\left(x+1\right)}{x+2}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Simplify.

 $\frac{7m+42}{m^2+3m-18}$  

 

•  $\frac{m+6}{m-3}$  

•  $\frac{7}{m-3}$  

•  $7\left(m+6\right)$  

•  $m-3$  
  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Multiple the expressions

 $\frac{4p^3}{6p}\cdot\frac{7p^4}{9}$  

•  $\frac{28p^7}{54p}$  

•  $\frac{11p^{12}}{54p}$  

•  $\frac{14p^{11}}{27}$  

•  $\frac{14p^6}{27}$  

Tags

CCSS.HSA.APR.D.7

Multiply the expressions

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

•  $n-1$  

•  $\frac{2\left(n-1\right)}{n+3}$  

•  $2\left(n-1\right)$  

•  $1$  
  

Tags

CCSS.HSA.APR.D.7

Multiply the expression

 $\frac{r-8}{7\left(r+2\right)}\cdot\frac{7\left(r+2\right)}{r+2}$  

•  $\frac{7\left(r-2\right)}{r+2}$  

•  $\frac{r-8}{r+2}$  

•  $\frac{r+2}{7}$  

•  $\frac{r-8}{7}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Divide the Rational Expression

 $\frac{6}{k-4}\div\frac{k+6}{k^2+2k-24}$  

•  $\frac{9}{k-4}$  
  

•  $\frac{k+7}{8}$  
  

•  $6$  
  

•  $k-3$  
  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Divide the Rational Expression

 $\frac{6a^2}{15a+10}\div\frac{5}{15a+10}$  

•  $\frac{7}{8\left(a-9\right)}$  
  

•  $\frac{6a^2}{5}$  
  

•  $\frac{1}{5a}$  
  

•  $\frac{a-9}{a-5}$  
  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Subtract

 $\frac{x^2-3}{2x+7}-\frac{2x-5}{2x+7}$  

•  $\frac{x^2-2x-8}{2x+7}\$ 

•  $x^2-2x-8$  

•  $x^2-2x+2\$  

•  $\frac{x^2-2x+2}{2x+7}\$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Subtract

 $\frac{x}{2x+3}-\frac{2x+1}{2x-3}$  

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

•  $\frac{-2x^2-11x-3}{\left(2x-3\right)\left(2x+3\right)}\$  

•  $\frac{-2x^2-11x-3}{\left(2x-3\right)^2}\$  

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

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7