Adding and Subtracting Rationals DHQ

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

•  $\frac{x^2-2x-8}{2x+7};\ x\ne-\frac{7}{2}$  

•  $x^2-2x-8;\ x\ne0$  

•  $x^2-2x+2;\ x\ne0$  

•  $\frac{x^2-2x+2}{2x+7};\ x\ne-\frac{7}{2}$  

Tags

CCSS.HSA.APR.D.7

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

•  $\frac{x^3+7x}{x\left(x-5\right)};\ x\ne5$  

•  $\frac{x^2+7}{x-5};\ x\ne0,\ 5$  

•  $\frac{x^4-5x^3+7x^2-35x}{\left(x^2-5x\right)\left(x-5\right)};\ x\ne5$  

•  $\frac{x^4-5x^3+7x^2-35x}{\left(x^2-5x\right)\left(x-5\right)};\ x\ne0,\ 5$  

Tags

CCSS.HSA.APR.D.7

Add
 $\frac{2}{x^2-x-20}+\frac{3}{x^2+7x+12}$  

•  $\frac{5x-9}{\left(x-5\right)\left(x+4\right)\left(x+3\right)};\ x\ne-5,\ 3\ 4$  

•  $\frac{5x-11}{\left(x-5\right)\left(x+4\right)\left(x+3\right)};\ x\ne-4,-3,\ 5$  

•  $\frac{5x-11}{\left(x-5\right)\left(x+4\right)\left(x+3\right)};\ x\ne-5,\ 3\ 4$  

•  $\frac{5x-9}{\left(x-5\right)\left(x+4\right)\left(x+3\right)};\ x\ne-4,-3\ 5$  

Tags

CCSS.HSA.APR.D.7